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Case study questions for class 9 science chapter 15 improvement in food resources, case study questions for class 9 science chapter 14 natural resources, case study questions for class 9 science chapter 12 sound, case study and passage based questions for class 9 science chapter 9 force and laws of motion, case study and passage based questions for class 9 science chapter 8 motion, case study and passage based questions for class 9 science chapter 7 diversity in living organisms, case study and passage based questions for class 9 science chapter 6 tissues, case study and passage based questions for class 9 science chapter 2 is matter around us pure, case study and passage based questions for class 9 science chapter 5 the fundamental unit of life, case study and passage based questions for class 9 science chapter 13 why do we fall ill, case study and passage based questions for class 9 science chapter 11 work and energy, case study and passage based questions for class 9 science chapter 10 gravitation, case study and passage based questions for class 9 science chapter 4 structure of atom, case study and passage based questions for class 9 science chapter 3 atoms and molecules.
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Ncert class 9 science chapter 10 gravitation extra questions and answers.
Class 9 Science Chapter 10 Extra Inside Questions and Answers – Gravitation. Here in this Page Class IX Students can Learn Extra Questions & Answer 10th Chapter Science fully Inside.
Very short answer type questions:.
1.) Is gravitational force depend on separation between objects?
2.) Why does the ball moves towards earth when it dropped from top of tower?
4.) State the centripetal force which binds earth in its orbit.
7.) On what factors does the weight depend?
10.) What is the meaning of ‘Eureka’?
Answer: Eureka means ‘I have got it’.
Answer: Yes, relative density of platinumis greater than water.
14.) State the quantity which depend on force and area.
Answer: As we know that, gravitational force is inversely proportional to square of distance between two objects.
If d is the separation between two objects then the magnitude of force is,
Acceleration due to gravity = g =9.8 m/s².
Force = 980 N.
M – Kilogram.
5.) If a force of 20 N is exerted on an object having mass 4 kg then calculate acceleration produced in it.
Acceleration = 20 / 4.
According to 1st equation of motion
According to 3rd law of motion, Force exerted by table on wooden block is equal to force exerted by wooden block on table.
Force = mass × acceleration
Weight = 49000 N.
14.) A man has mass 70 kg then calculate its weight on moon.
Force = (0.2 × 0 –0.2 ×60)/0.2
Area = (22/7 ) × 1.4²
Answer: Given, Density of brick = 15000 kg/m³.
Mass = 11250 kg.
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NCERT Solutions for Class 9 Science Chapter 9 Gravitation provides detailed answers for all in-text and exercise Questions. These solutions contain an in-depth explanation of each topic involved in the chapter. Students studying in class 9 can access these solutions for free in PDF format.
All these solutions are prepared by expert teachers and updated for the current academic session. NCERT Solutions for Class 9 Science Chapter 9 Gravitation help students to understand the fundamental concepts given in class 9 Science textbook. We have prepared the answers to all the questions in an easy and well-structured manner. It helps students to grasp the chapter easily.
PAGE NO. 102
Question 1: State the universal law of gravitation .
Answer: The universal law of gravitation states that every object in the universe attracts every other object with a force called the gravitational force. The force acting between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
For two objects of masses m 1 and m 2 and the distance between them r, the force (F) of attraction acting between them is given by the universal law of gravitation as:
Question 2: Write the formula to find the magnitude of the gravitational force between the earth and an object on the surface of the earth.
PAGE NO. 104
Question 1: What do you mean by free fall?
Answer: Gravity of the Earth attracts every object towards its centre. When an object is released from a height, it falls towards the surface of the Earth under the influence of gravitational force. The motion of the object is said to have free fall.
Question 2: What do you mean by acceleration due to gravity?
Answer: When an object falls towards the ground from a height, then its velocity changes during the fall. This changing velocity produces acceleration in the object. This acceleration is known as acceleration due to gravity (g). Its value is given by 9.8 m/s 2 .
PAGE NO. 106
Question 1: What are the differences between the mass of an object and its weight?
Answer:
I. | Mass is the quantity of matter contained in the body. | Weight is the force of gravity acting on the body. |
II. | It is the measure of inertia of the body. | It is the measure of gravity. |
III. | Mass is a constant quantity. | Weight is not a constant quantity. It is different at different places. |
IV. | It only has magnitude. | It has magnitude as well as direction. |
V. | Its SI unit is kilogram (kg). | Its SI unit is the same as the SI unit of force, i.e., Newton (N). |
Question 2: Why is the weight of an object on the moon (1/6)th its weight on the earth?
Answer: Let M E be the mass of the Earth and m be an object on the surface of the Earth. Let R E be the radius of the Earth. According to the universal law of gravitation, weight W E of the object on the surface of the Earth is given by,
Let M M and R M be the mass and radius of the moon. Then, according to the universal law of gravitation, weight W M of the object on the surface of the moon is given by:
Therefore, weight of an object on the moon is of its weight on the Earth.
PAGE NO. 109
Question 1: Why is it difficult to hold a school bag having a strap made of a thin and strong string?
Answer: It is difficult to hold a school bag having a thin strap because the pressure on the shoulders is quite large. This is because the pressure is inversely proportional to the surface area on which the force acts. The smaller is the surface area; the larger will be the pressure on the surface. In the case of a thin strap, the contact surface area is very small. Hence, the pressure exerted on the shoulder is very large.
Question 2: What do you mean by buoyancy?
Answer: The upward force exerted by a liquid on an object immersed in it is known as buoyancy. When you try to immerse an object in water, then you can feel an upward force exerted on the object, which increases as you push the object deeper into water.
Question 3: Why does an object float or sink when placed on the surface of water?
Answer: If the density of an object is more than the density of the liquid, then it sinks in the liquid. This is because the buoyant force acting on the object is less than the force of gravity. On the other hand, if the density of the object is less than the density of the liquid, then it floats on the surface of the liquid. This is because the buoyant force acting on the object is greater than the force of gravity.
PAGE NO. 110
Question 1: You find your mass to be 42 kg on a weighing machine. Is your mass more or less than 42 kg?
Answer: When you weigh your body, an upward force acts on it. This upward force is the buoyant force. As a result, the body gets pushed slightly upwards, causing the weighing machine to show a reading less than the actual value.
Question 2: You have a bag of cotton and an iron bar, each indicating a mass of 100 kg when measured on a weighing machine. In reality, one is heavier than other. Can you say which one is heavier and why?
Answer: The bag of cotton is heavier than an iron bar. This is because the surface area of the cotton bag is larger than the iron bar. Hence, a more buoyant force acts on the bag than that on an iron bar. This makes the cotton bag lighter than its actual value. For this reason, the iron bar and the bag of cotton show the same mass on the weighing machine, but actually the mass of the cotton bag is more than that of the iron bar.
Question 1: How does the force of gravitation between two objects change when the distance between them is reduced to half?
Answer: According to the universal law of gravitation, gravitational force (F) acting between two objects is inversely proportional to the square of the distance between them, i.e.,
Hence, if the distance is reduced to half, then the gravitational force becomes four times larger than the previous value.
Question 2: Gravitational force acts on all objects in proportion to their masses. Why then, a heavy object does not fall faster than a light object?
Answer: All objects fall on the ground with constant acceleration, called acceleration due to gravity (in the absence of air resistance). It is constant and does not depend upon the mass of an object. Hence, heavy objects do not fall faster than light objects.
Question 3: What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6 × 10 24 kg and radius of the earth is 6.4 × 10 6 m).
Answer: According to the universal law of gravitation, gravitational force exerted on an object of mass m is given by:
Question 4: The earth and the moon are attracted to each other by gravitational force. Does the earth attract the moon with a force that is greater or smaller or the same as the force with which the moon attracts the earth? Why?
Answer: According to the universal law of gravitation, two objects attract each other with equal force, but in opposite directions. The Earth attracts the moon with an equal force with which the moon attracts the earth.
Question 5: If the moon attracts the earth, why does the earth not move towards the moon?
Answer: The Earth and the moon experience equal gravitational forces from each other. However, the mass of the Earth is much larger than the mass of the moon. Hence, it accelerates at a rate lesser than the acceleration rate of the moon towards the Earth. For this reason, the Earth does not move towards the moon.
Question 6: What happens to the force between two objects, if (i) the mass of one object is doubled? (ii) the distance between the objects is doubled and tripled? (iii) the masses of both objects are doubled?
Answer: According to the universal law of gravitation, the force of gravitation between two objects is given by:
(i) F is directly proportional to the masses of the objects. If the mass of one object is doubled, then the gravitational force will also get doubled.
(ii) F is inversely proportional to the square of the distances between the objects. If the distance is doubled, then the gravitational force becomes one-fourth of its original value. Similarly, if the distance is tripled, then the gravitational force becomes one-ninth of its original value.
(iii) F is directly proportional to the product of masses of the objects. If the masses of both the objects are doubled, then the gravitational force becomes four times the original value.
Question 7: What is the importance of universal law of gravitation?
Answer: The universal law of gravitation proves that every object in the universe attracts every other object.
Question 8: What is the acceleration of free fall?
Answer: When objects fall towards the Earth under the effect of gravitational force alone, then they are said to be in free fall. Acceleration of free fall is 9.8 ms −2 , which is constant for all objects (irrespective of their masses).
Question 9: What do we call the gravitational force between the Earth and an object?
Answer: Gravitational force between the earth and an object is known as the weight of the object.
Question 10: Amit buys few grams of gold at the poles as per the instruction of one of his friends. He hands over the same when he meets him at the equator. Will the friend agree with the weight of gold bought? If not, why? [Hint: The value of g is greater at the poles than at the equator].
Answer: Weight of a body on the Earth is given by W = mg Where, m = Mass of the body g = Acceleration due to gravity
The value of g is greater at poles than at the equator. Therefore, gold at the equator weighs less than at the poles. Hence, Amit’s friend will not agree with the weight of the gold bought.
Question 11: Why will a sheet of paper fall slower than one that is crumpled into a ball?
Answer: When a sheet of paper is crumbled into a ball, then its density increases. Hence, resistance to its motion through the air decreases and it falls faster than the sheet of paper.
Question 12: Gravitational force on the surface of the moon is only (1/6) as strong as gravitational force on the Earth. What is the weight in newtons of a 10 kg object on the moon and on the Earth?
Answer: Weight of an object on the moon = (1/6)× Weight of an object on the Earth Also, Weight = Mass × Acceleration Acceleration due to gravity, g = 9.8 m/s 2 Therefore, weight of a 10 kg object on the Earth = 10 × 9.8 = 98 N And, weight of the same object on the moon = (1/6) × 98 = 16.3 N
Question 13: A ball is thrown vertically upwards with a velocity of 49 m/s. Calculate: (i) the maximum height to which it rises. (ii) the total time it takes to return to the surface of the earth.
Answer: (i) According to the equation of motion under gravity v 2 − u 2 = 2gs Where, u = Initial velocity of the ball v = Final velocity of the ball s = Height achieved by the ball g = Acceleration due to gravity At maximum height, final velocity of the ball is zero, i.e., v = 0 m/s and u = 49 m/s During upward motion, g = − 9.8 m s −2 Let h be the maximum height attained by the ball. Hence, using 𝑣 2 − 𝑢 2 = 2𝑔𝑠, we have,
(ii) Let t be the time taken by the ball to reach the height 122.5 then according to the equation of motion v = u + at, we get
But, Time of ascent = Time of descent Therefore, total time taken by the ball to return = 5 + 5 = 10 s
Question 14: A stone is released from the top of a tower of height 19.6 m. Calculate its final velocity just before touching the ground.
Answer: According to the equation of motion under gravity v 2 − u 2 = 2gs Where, u = Initial velocity of the stone = 0 m/s v = Final velocity of the stone s = Height of the stone = 19.6 m g = Acceleration due to gravity = 9.8 ms −2
Now using v 2 − u 2 = 2gs, we get v 2 − 0 2 = 2 × 9.8 × 19.6 ⇒ v 2 = 2 × 9.8 × 19.6 = 19.6) 2 ⇒ v = 19.6 ms −1 Hence, the velocity of the stone just before touching the ground is 19.6 ms −1 .
Question 15: A stone is thrown vertically upward with an initial velocity of 40 m/s. Taking g = 10 m/s 2 , find the maximum height reached by the stone. What is the net displacement and the total distance covered by the stone?
Answer: According to the equation of motion under gravity v 2 − u 2 = 2gs Where, u = Initial velocity of the stone = 40 m/s v = Final velocity of the stone = 0 m/s s = Height of the stone g = Acceleration due to gravity = −10 ms −2 Let h be the maximum height attained by the stone.
Therefore, total distance covered by the stone during its upward and downward journey = 80 + 80 = 160 m Net displacement during its upward and downward journey = 80 + (−80) = 0.
Question 16: Calculate the force of gravitation between the earth and the Sun, given that the mass of the earth = 6 × 10 24 kg and of the Sun = 2 × 10 30 kg. The average distance between the two is 1.5 × 10 11 m.
Answer: According to the universal law of gravitation, the force of attraction between the Earth and the Sun is given by
Hence, the force of gravitation between the Earth and the Sun is 3.57 × 10 22 𝑁
Question 17: A stone is allowed to fall from the top of a tower 100 m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 25 m/s. Calculate when and where the two stones will meet.
Answer: Let the two stones meet after a time t.
When the stone dropped from the tower Initial velocity, u = 0 m/s Let the displacement of the stone in time t from the top of the tower be s. Acceleration due to gravity, g = 9.8 ms −2 From the equation of motion,
Initial velocity, u = 25 ms −1 Let the displacement of the stone from the ground in time t be 𝑠′. Acceleration due to gravity, g = −9.8 ms −2 Equation of motion,
The combined displacement of both the stones at the meeting point is equal to the height of the tower 100 m.
In 4 s, the falling stone has covered a distance given by (1) as 𝑠 = 4.9 × 4 2 = 78.4 𝑚 Therefore, the stones will meet after 4 s at a height (100 – 78.4) = 20.6 m from the ground.
Question 18: A ball thrown up vertically returns to the thrower after 6 s. Find (a) the velocity with which it was thrown up, (b) the maximum height it reaches, and (c) its position after 4 s.
Answer: (a) Time of ascent is equal to the time of descent. The ball takes a total of 6 s for its upward and downward journey. Hence, it has taken 3 s to attain the maximum height.
Final velocity of the ball at the maximum height, v = 0 m/s Acceleration due to gravity, g = −9.8 ms −2 Using equation of motion, v = u + at, we have 0 = u + (−9.8 × 3) ⇒ u = 9.8 × 3 ⇒ u = 29.4 m/s Hence, the ball was thrown upwards with a velocity of 29.4 m/s.
(b) Let the maximum height attained by the ball be h. Initial velocity during the upward journey, u = 29.4 m/s Final velocity, v = 0 m/s Acceleration due to gravity, g = −9.8 ms −2 Using the equation of motion,
Hence, the maximum height is 44.1 m.
(c) Ball attains the maximum height after 3 s. After attaining this height, it will start falling downwards. In this case, Initial velocity, u = 0 m/s Position of the ball after 4 s of the throw is given by the distance travelled by it during its downward journey in 4 s − 3 s = 1 s.
Now, total height = 44.1 m This means the ball is 39.2 m (44.1 m − 4.9 m) above the ground after 4 seconds.
Question 19: In what direction does the buoyant force on an object immersed in a liquid act?
Answer: An object immersed in a liquid experiences buoyant force in the upward direction.
Question 20: Why does a block of plastic released under water come up to the surface of water?
Answer: Two forces act on an object immersed in water. One is the gravitational force, which pulls the object downwards, and the other is the buoyant force, which pushes the object upwards. If the upward buoyant force is greater than the downward gravitational force, then the object comes up to the surface of the water as soon as it is released within the water. Due to this reason, a block of plastic released under water comes up to the surface of the water.
Question 21: The volume of 50 g of a substance is 20 cm 3 . If the density of water is 1 g cm −3 , will the substance float or sink?
Answer: If the density of an object is more than the density of a liquid, then it sinks in the liquid. On the other hand, if the density of an object is less than the density of a liquid, then it floats on the surface of the liquid.
The density of the substance is more than the density of water (1 g cm −3 ). Hence, the substance will sink in water.
Question 22: The volume of a 500 g sealed packet is 350 cm 3 . Will the packet float or sink in water if the density of water is 1 g cm −3 ? What will be the mass of the water displaced by this packet?
Answer: Density of the 500 g sealed packet
The density of the substance is more than the density of water (1 𝑔/𝑐𝑚 3 ). Hence, it will sink in water. The mass of water displaced by the packet is equal to the volume of the packet, i.e., 350 g.
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Class 9 Science Ch 9 explores the concept of gravitational force, understanding its effects on celestial bodies like planets and moons, and Archimedes’ Principle. Vedantu’s Class 9 Gravitation NCERT Solutions solves all the questions in the chapter and helps students navigate through complex concepts with clarity and precision. Access Vedantu's Gravitation Class 9 solutions for step-by-step explanations and problem-solving strategies and enhance your learning experience.
Download Vedantu's Science Class 9 Gravitation NCERT Solutions, revised to align with the Class 9 Science syllabus . Start your academic journey with Vedantu and pave your way towards academic excellence.
Class 9 Science Ch 9 comprehends the concept of gravitation, the force of attraction that exists between any two objects with mass, and elucidates Newton's Law of Universal Gravitation, a cornerstone of classical physics.
Ch 9 Science Class 9 explores the effects of gravitation in maintaining the stability of celestial bodies such as planets, stars, and galaxies.
Class 9 Gravitation Question Answer delves into the concept of acceleration due to gravity, the distinction between weight and mass, and Archimedes’ Principle.
Gravitation Class 9 Questions And Answers develop proficiency in solving numerical problems related to the motion of objects under the influence of the earth's gravitational force, Pressure, and Thrust.
Vedantu offers additional resources such as class notes, important concepts, formulas, and exemplar solutions to reinforce learning and ensure a strong grasp of foundational scientific principles.
Intext exercise 1.
1. State the universal law of gravitation.
Ans: Every object in the universe attracts every other object with some force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. The force acts along the line joining the centres of two objects.
Let the two objects \[A\] and \[B\]of masses \[M\]and \[m\] lie at a distance \[d\] from each other. Let the force of attraction between two objects be \[F\].
\[F=\frac{GMm}{{{r}^{2}}}\]
Where,
\[G\]is the universal gravitation constant which is given by:
\[G=6.67\times {{10}^{-11}}N{{m}^{2}}k{{g}^{-2}}\]
2. Write the formula to find the magnitude of the gravitational force between the earth and an object on the surface of the earth.
Ans: Let the mass of the Earth be \[M\] and the mass of an object on its surface be \[m\]. If \[R\]is the radius of the Earth, then according to the universal law of gravitation, the gravitational force (\[F\]) that acts between the Earth and the object can be given by the relation:
\[F=\frac{GMm}{{{R}^{2}}}\].
1. What do you mean by free fall?
Ans: Each object is drawn towards the centre of the Earth by its gravity. When any object is released from a certain height, under the impact of gravitational force, it falls to the Earth's surface. The movement of the object is said to be in free fall.
2. What do you mean by acceleration due to gravity?
Ans: When any object falls freely from a certain height towards the earth's surface, its velocity changes with respect to time. This change in velocity causes acceleration. This acceleration is known as the acceleration due to gravity (\[g\]). The value of acceleration due to gravity is \[9.8m{{s}^{-2}}\].
1. What are the differences between the mass of an object and its weight?
Ans: The difference between the mass of an object and its weight is given in the table below:
|
|
|
1. | Mass can be defined as the quantity of matter contained in the body. | Weight can be defined as the force of gravity acting on the body. |
2. | It is the quantity that is a measure of inertia of the body. | It is the quantity that is a measure of gravity. |
3. | Mass is constant everywhere. | The value of weight varies at different places. |
4. | It is a scalar quantity. | Weight is a vector quantity. |
5. | SI unit of mass is \[kg\]. | SI unit of weight is \[N\]. |
2. Why is the weight of an object on the moon \[\frac{1}{6}th\] its weight on the earth?
Ans: Let the mass of the Earth be \[{{M}_{E}}\] and the mass of an object on the surface of earth \[=m\] and the radius of earth \[{{R}_{E}}\].
According to the Universal law of gravitation, weight \[{{W}_{E}}\] of the object on the surface of the earth is given by,
\[{{W}_{E}}=\frac{G{{M}_{E}}m}{{{R}_{E}}^{2}}\]
Let \[{{M}_{M}}\] and \[{{R}_{M}}\] be the mass and radius of the moon. Then, according to the universal law of gravitation, weight \[{{W}_{M}}\] of the object on the surface of the moon is given by:
\[{{W}_{M}}=\frac{G{{M}_{M}}m}{{{R}_{M}}^{2}}\]
So, ratio of weight of object on moon to weight on earth is
\[\frac{{{W}_{M}}}{{{W}_{E}}}=\frac{{{M}_{M}}{{R}_{E}}^{2}}{{{M}_{E}}{{R}_{M}}^{2}}\]
Where, \[{{M}_{E}}=5.98\times {{10}^{24}}kg\]
\[{{M}_{M}}=7.36\times {{10}^{22}}kg\]
\[{{R}_{E}}=6.4\times {{10}^{6}}m\]
\[{{R}_{M}}=1.74\times {{10}^{6}}m\]
Substituting the values in the ratio,
\[\Rightarrow \frac{{{W}_{M}}}{{{W}_{E}}}=\frac{7.36\times {{10}^{22}}\times {{\left( 6.37\times {{10}^{6}} \right)}^{2}}}{5.98\times {{10}^{24}}\times {{\left( 1.74\times {{10}^{6}} \right)}^{2}}}\]
\[\Rightarrow \frac{{{W}_{M}}}{{{W}_{E}}}=0.165\approx \frac{1}{6}\]
Hence, the weight of an object on the moon is \[\frac{1}{6}th\] of its weight on the Earth.
1. Why is it difficult to hold a school bag with a strap made of a thin and strong string?
Ans: Pressure can be given by the formula,
\[P=\frac{F}{A}\]
Pressure is inversely proportional to the surface area on which the force is acting. The smaller is the surface area, the larger will be the pressure on the surface on which the force is being acted upon. In the case of a thin strap of the school bag, the contact surface area is very less. Hence, the pressure exerted on the shoulder is very high. Therefore, it becomes difficult to hold a school bag with a thin strap.
2. What do you mean by buoyancy?
Ans: The liquid exerts an upward force on any object when it is immersed in a liquid or fluid. The tendency of the liquid to exert such an upward force on the object is called buoyancy, and the upward force which is exerted on the object by the liquid is called the buoyant force.
3. Why does an object float or sink when placed on the surface of the water?
Ans: If the density of an object is greater than the density of the liquid, it will sink into the liquid. This is due to the buoyant force which is acted by the object is less than the force of gravity.
On the contrary, if the density of the object is less than the density of the liquid, it floats on the liquid's surface. This is because the force that is acting on the object is greater than the force of gravity.
1. You find your mass to be \[42\] kg on a weighing machine. Is your mass more or less than \[42\]kg?
Ans: An upward force acts on our body when we weigh our body while standing on a weighing machine. The buoyant force is which is a upward force that is acting. Consequently, the body is pushed up slightly, resulting in the weighing machine showing less reading than the real value.
2. You have a bag of cotton and an iron bar, each indicating a mass of \[100kg\] when measured on a weighing machine. In reality, one is heavier than other. Can you say which one is heavier and why?
Ans: Weight measured \[=\] Actual weight \[-\] buoyant force
Therefore, Actual weight \[=\] Weight measured \[+\]buoyant force
As the surface area of the cotton, the bag is greater than the iron bar, more buoyant force acts on the bag than that on the iron bar. Hence, the mass of the cotton bag is more than that of the iron bar.
1. How does the force of gravitation between two objects change when the distance between them is reduced to half?
Ans: According to the universal law of gravitation, the gravitational force (\[F\]) acting between two objects of mass \[{{m}_{1}}\]and \[{{m}_{2}}\], separated by a distance ‘\[r\]’ is given by
\[F=\frac{G{{m}_{1}}{{m}_{2}}}{{{r}^{2}}}\]
Where \[{{m}_{1}}\]and \[{{m}_{2}}\]are the masses of two bodies and \[r\]is the distance between them, \[G\] is the universal gravitational constant.
When the distance is reduced to half, i.e., \[{r}'=\frac{r}{2}\]
\[\Rightarrow F=\frac{G{{m}_{1}}{{m}_{2}}}{{{\left( \frac{r}{2} \right)}^{2}}}\]
\[\Rightarrow F=\frac{G{{m}_{1}}{{m}_{2}}}{\frac{{{r}^{2}}}{4}}\]
\[\Rightarrow F=\frac{4G{{m}_{1}}{{m}_{2}}}{{{r}^{2}}}\]
Hence, if the distance is reduced to half, then the gravitational force becomes four times that of the previous value.
2. Gravitational force acts on all objects in proportion to their masses. Why then, a heavy object does not fall faster than a light object?
Ans: All the objects fall towards the ground with constant acceleration, called acceleration due to gravity (if there is no air resistance present). It is constant and independent of the mass of the object. Hence, heavy objects do not fall faster than light objects.
3. What is the magnitude of the gravitational force between the earth and a \[1kg\]object on its surface? (Mass of the earth is \[6\times {{10}^{24}}kg\] and radius of the earth is \[6.4\times {{10}^{6}}m\]).
Ans: According to the Universal law of gravitation, the gravitational force exerted on an object of mass \[m\]is given by:
Mass of Earth, \[M=6\times {{10}^{24}}kg\]
Mass of object, \[m=1kg\]
Universal gravitational constant, \[G=6.7\times {{10}^{-11}}N{{m}^{2}}k{{g}^{-2}}\]
Since the object is on the surface of the Earth, \[r=\]radius of the Earth (\[R\])
\[r=R=6.4\times {{10}^{6}}m\]
Gravitational force,
\[\Rightarrow F=\frac{6.7\times {{10}^{-11}}\times 6\times {{10}^{24}}\times 1}{{{\left( 6.4\times {{10}^{6}} \right)}^{2}}}=9.8N\].
The magnitude of the gravitational force between the earth and a \[1kg\]object on its surface is \[9.8N\].
4. The earth and the moon are attracted to each other by gravitational force. Does the earth attract the moon with a force that is greater or smaller or the same as the force with which the moon attracts the earth? Why?
Ans: According to the Universal law of gravitation, two objects attract each other and according to Newton's third law of motion, the force of attraction between two objects is the same but acts in the opposite direction. Thus, the earth attracts the moon with the same force as the moon exerts on earth but the force acts in the opposite direction.
5. If the moon attracts the earth, why does the earth not move towards the moon?
Ans: The Earth and the moon experience equal gravitational forces acting towards each other.
By Newton's Second Law, \[F=ma\]
\[\Rightarrow a=\frac{F}{m}\]
For a certain force, acceleration is inversely proportional to the mass of an object.
\[a\propto \frac{F}{m}\]
Mass of the Earth \[>>\] Mass of the moon.
Hence, the acceleration experienced by earth due to the gravitational pull of the moon is very small when compared to that experienced by the moon due to earth. That is why the Earth does not move towards the moon.
6. What happens to the force between two objects, if
a) The mass of one object is doubled?
Ans: According to the universal law of gravitation, the force of gravitation between two objects is given by: \[F=\frac{GMm}{{{r}^{2}}}\]
\[F\]is directly proportional to the product of masses of the two objects.
\[F\propto Mm\]
If the mass of one object is doubled, then the gravitational force will also change to double the original.
b) The distance between the objects is doubled and tripled?
Ans: \[F\]is inversely proportional to the square of the distance between the objects.
If the distance between the objects is doubled, then the gravitational force becomes one-fourth of its original value. Also, if the distance is tripled, then the gravitational force becomes one-ninth of its original value.
c) The masses of both objects are doubled?
Ans: \[F\]is directly proportional to the product of masses of the objects.
If the masses of both the objects are doubled, then the gravitational force becomes four times the original value.
7. What is the importance of the universal law of gravitation?
Ans: The universal law of gravitation states that every object in the universe attracts every other object.
The force of gravitation binds us to the earth.
It is the cause for the motion of the moon around the earth and planets around the sun.
It results in the formation of tides due to the moon and the Sun. High tide occurs at the side where the moon pulls towards itself.
8. What is the acceleration of free fall?
Ans: A free-falling object is an object that is falling due to gravity without any air resistance. When it falls, there is a variation in velocity with respect to time that is associated with it.
Acceleration of free fall is denoted by \[g\]and its value on the surface of the earth is \[9.8m{{s}^{-2}}\], which is constant for all objects (irrespective of their masses).
9. What do we call the gravitational force between the Earth and an object?
Ans: The gravitational force between the earth and an object is called the weight of that object. It is equal to the product of acceleration due to the gravity and mass of the object.
10. Amit buys a few grams of gold at the poles as per the instruction of one of his friends. He hands over the same when he meets him at the equator. Will the friend agree with the weight of gold bought? If not, why? (Hint: The value of g is greater at the poles than at the equator).
Ans: Weight of a body on the Earth is given by:
\[m=\]Mass of the body
\[g=\]Acceleration due to gravity
The shape of Earth is not a perfect sphere. As the radius of the earth increases from the poles to the equator, the value of \[g\]becomes greater at the poles than at the equator. Since the value of \[g\] is greater at the poles than the equator.
Therefore, gold at the equator weighs less than at the poles. Hence, Amit’s friend will not agree with the weight of the gold bought.
11. Why will a sheet of paper fall slower than one that is crumpled into a ball?
Ans: When a sheet of paper is crumbled into a ball, then its surface area becomes much lesser than the surface area of a plain non-crumpled sheet of paper.
Hence, the upward force exerted by air on the sheet is greater as compared to the one exerted on the ball. Hence the sheet falls slower as compared to a paper ball.
12.Gravitational force on the surface of the moon is only \[\frac{1}{6}\] as strong as the gravitational force on the Earth. What is the weight in newtons of a \[10kg\]object on the moon and on the Earth?
Ans: It is provided that, \[Weight\text{ }of\text{ }an\text{ }object\text{ }on\text{ }the\text{ }moon=\frac{1}{6}\times Weight\text{ }of\text{ }an\text{ }object\text{ }on\text{ }the\text{ }Earth\]
\[Weight=\,Mass\times Acceleration\]
Acceleration due to gravity, \[g=9.8m{{s}^{-2}}\]
Therefore, the weight of a 10 kg object on the Earth \[=10\times 9.8N=98N\]
Weight of the same object on the moon \[=\frac{1}{6}\times 9.8N=16.3N\]
13. A ball is thrown vertically upwards with a velocity of \[49m{{s}^{-1}}\]. Calculate
a) The maximum height to which it rises.
Ans: According to the equation of motion under gravity:
\[{{v}^{2}}-{{u}^{2}}=2gh\]
\[u=\]Initial velocity of the ball
\[v=\]Final velocity of the ball
\[h=\]Height achieved by the ball
At maximum height, final velocity of the ball is zero, i.e., \[v=0\]
\[u=49m{{s}^{-1}}\]
During upward motion, \[g=9.8m{{s}^{-2}}\]
Let \[h\] be the maximum height attained by the ball.
\[\Rightarrow {{\left( 0 \right)}^{2}}-{{\left( 49 \right)}^{2}}=2\times \left( -9.8 \right)\times h\]
\[\Rightarrow h=\frac{49\times 49}{2\times 9.8}=122.5\]
b) The total time it takes to return to the surface of the earth.
Ans: Let \[t\] be the time taken by the ball to reach the height \[122.5m\], then according to the equation of motion:
Substituting the values and solving,
\[\Rightarrow 0=49+t\times \left( -9.8 \right)\]
\[\Rightarrow 9.8t=49\]
\[\Rightarrow t=\frac{49}{9.8}=5s\]
Time of ascent = Time of descent
Therefore, the total time taken by the ball to return is \[5+5=10s\].
14. A stone is released from the top of a tower of height \[19.6m\]. Calculate its final velocity just before touching the ground.
\[u=\]Initial velocity of the stone \[=0\]
\[v=\]Final velocity of the stone
\[s=\]Height of the stone \[=9.6m\]
g = Acceleration due to gravity \[=9.8m{{s}^{-2}}\]
\[\Rightarrow {{v}^{2}}-{{0}^{2}}=2\times 9.8\times 19.6\]2
\[\Rightarrow {{v}^{2}}=2\times 9.8\times 19.6={{\left( 19.6 \right)}^{2}}\]
\[\Rightarrow v=19.6m{{s}^{-1}}\]
Hence, the velocity of the stone just before touching the ground is \[19.6m{{s}^{-1}}\].
15. A stone is thrown vertically upward with an initial velocity of \[40m{{s}^{-1}}\]. Taking \[g=10m{{s}^{-2}}\], find the maximum height reached by the stone. What is the net displacement and the total distance covered by the stone?
\[u=\]Initial velocity of the stone \[=40m{{s}^{-1}}\]
\[v=\]Final velocity of the stone\[=0\]
\[s=\]Height of the stone
g = Acceleration due to gravity \[=-10m{{s}^{-2}}\]
Let \[h\] be the maximum height attained by the stone.
\[\Rightarrow 0-{{\left( 40 \right)}^{2}}=2\times h\times \left( -10 \right)\]
\[\Rightarrow h=\frac{40\times 40}{20}=80m\]
Therefore, the total distance covered by the stone during its upward and downward journey is \[80+80=160m\].
The net displacement of the stone during its upward and downward
journey is \[80+\left( -80 \right)=0m\].
16. Calculate the force of gravitation between the earth and the Sun, given that the mass of the earth \[=6\times {{10}^{24}}kg\] and of the Sun \[=2\times {{10}^{30}}kg\]. The average distance between the two is \[1.5\times {{10}^{11}}m\].
Ans: According to the Universal l law of gravitation, the force of attraction between the Earth and the Sun is given by:
\[{{M}_{Sun}}=\]Mass of the Sun \[=2\times {{10}^{30}}kg\]
\[{{M}_{Earth}}=\]Mass of the Earth \[=6\times {{10}^{24}}kg\]
\[R=\] Average distance between the Earth and the Sun \[=1.5\times {{10}^{11}}m\]
\[G=\]Universal gravitational constant \[=6.7\times {{10}^{-11}}N{{m}^{2}}k{{g}^{-2}}\].
\[F=\frac{G{{M}_{Sun}}{{M}_{Earth}}}{{{R}^{2}}}\]
\[\Rightarrow F=\frac{6.7\times {{10}^{-11}}\times 2\times {{10}^{30}}\times 6\times {{10}^{24}}}{{{\left( 1.5\times {{10}^{11}} \right)}^{2}}}\]
\[\Rightarrow F=3.57\times {{10}^{22}}N\]
Hence, the force of gravitation between the earth and the sun is \[3.57\times {{10}^{22}}N\].
17. A stone is allowed to fall from the top of a tower \[100m\] high and at the same time another stone is projected vertically upwards from the ground with a velocity of \[25m{{s}^{-1}}\]. Calculate when and where the two stones will meet.
Ans: Let the two stones meet after time \[t\]from the start.
a) For the stone dropped from the tower:
Initial velocity, \[u=0\].
Let the displacement of the stone in time t from the top of the tower be s.
From the equation of motion,
\[s=ut+\frac{1}{2}g{{t}^{2}}\]
\[\Rightarrow s=0\times t+\frac{1}{2}\times 9.8\times {{t}^{2}}\]
\[\Rightarrow s=4.9{{t}^{2}}\]……. (1)
b) For the stone thrown upwards:
Initial velocity, \[u=25m{{s}^{-1}}\]
Let the displacement of the stone from the ground in time \[t\]be \[{s}'\].
Equation of motion,
\[{s}'=ut+\frac{1}{2}g{{t}^{2}}\]
\[\Rightarrow {s}'=25t-\frac{1}{2}\times 9.8\times {{t}^{2}}\]
\[\Rightarrow {s}'=25t-4.9{{t}^{2}}\]…… (2)
The combined displacement of both the stones at the meeting point is equal to the height of the tower \[100\]m.
\[s+{s}'=100\]…… (3)
Substituting equation (1) and (2) in (3),
\[4.9{{t}^{2}}+25t-4.9{{t}^{2}}=100\]
\[\Rightarrow 25t=100\]
\[\Rightarrow t=\frac{100}{25}=4s\]
In \[4s\], the falling stone has covered a distance given by equation (1) as
\[s=\frac{1}{2}\times 9.8\times {{4}^{2}}=78.4m\]
Therefore, the stones will meet after \[4s\] at a height \[\left( 100-78.4 \right)=21.6m\] from the ground.
18. A ball thrown up vertically returns to the thrower after \[6s\]. Find
a) The velocity with which it was thrown up,
Ans: Time of ascent is equal to the time of descent. The ball takes a total of \[6s\]for its upward and downward journey.
Hence, time taken for upward journey, \[t=\frac{6}{2}=3s\]
Final velocity of the ball at the maximum height, \[v=0\]
Equation of motion, \[v=u+gt\]will give,
\[\Rightarrow 0=u+\left( -9.8\times 3 \right)\]
\[\Rightarrow u=9.8\times 3=29.4m{{s}^{-1}}\]
Hence, the ball was thrown upwards with a velocity of \[29.4m{{s}^{-1}}\].
b) The maximum height it reaches
Ans: Let the maximum height attained by the ball be \[h\].
Initial velocity during the upward journey, \[u=29.4m{{s}^{-1}}\]
Final velocity, \[v=0\]
Acceleration due to gravity, \[g=-9.8m{{s}^{-2}}\]
\[s=ut+\frac{1}{2}a{{t}^{2}}\]
\[h=29.4\times 3+\frac{1}{2}\times \left( -9.8 \right)\times {{\left( 3 \right)}^{2}}=44.1m\]
c) Its position after \[4s\].
Ans: Ball attains the maximum height after \[3s\]. After attaining this height, it will start falling downwards.
In this case, Initial velocity, \[u=0\]
Position of the ball after \[4s\] of the throw is given by the distance
travelled by it during its downward journey in \[4s-3s=1s\]
\[s=0\times t+\frac{1}{2}\times 9.8\times {{1}^{2}}=4.9m\]
Total height \[=44.1m\]
This means that the ball is \[44.1m-4.9m=39.2m\] above the ground
after \[4\]seconds.
19. In what direction does the buoyant force on an object immersed in a liquid act?
Ans: An object immersed in a liquid is acted upon by the buoyant force in the vertically upward direction.
20. Why does a block of plastic released under water come up to the surface of water?
Ans: The number of forces acting on a certain item in water are two. The first one is the gravitational force pulling down the object, and the other is the buoyant force pushing up the object. If the buoyant force acting in the upward direction is higher than the gravitational force that is acting downward, then the object goes up to the water's surface as quickly as it is released into water. That is why a block of plastic released under the water comes up to the surface of the water.
21. The volume of \[50g\]of a substance is \[20c{{m}^{3}}\] . If the density of water is \[1gc{{m}^{-3}}\], will the substance float or sink?
Ans: If the density of an object is more than the density of a liquid, then it sinks in the liquid. If the density of an object is less than the density of a liquid, then it floats
\[Density\text{ }of\text{ }the\text{ }substance=\frac{Mass\text{ }of\text{ }the\text{ }substance}{Volume\text{ }of\text{ }the\text{ }substance}\]
\[\Rightarrow Density\text{ }of\text{ }the\text{ }substance=\frac{50}{20}\]
\[\Rightarrow Density\text{ }of\text{ }the\text{ }substance=2.5gc{{m}^{-3}}\].
The density of the substance \[>\] The density of water \[\left( 1gc{{m}^{-3}} \right)\].
Hence, the substance will sink in water.
22. The volume of a \[500g\] sealed packet is \[350c{{m}^{3}}\]. Will the packet float or sink in water if the density of water is \[1gc{{m}^{-3}}\]? What will be the volume of the water displaced by this packet?
Ans: If the density of an object is greater than the density of a liquid, then the object will sink in the liquid. If the density of an object is less than the density of a liquid, then it will float on the surface of the liquid.
\[Density\text{ }of\text{ }the\text{ }500\text{ }g\text{ }sealed\text{ }packet=\frac{Mass\text{ }of\text{ }the\text{ }packet}{Volume\text{ }of\text{ }the\text{ }packet}\]
\[\Rightarrow Density\text{ }of\text{ }the\text{ }500\text{ }g\text{ }sealed\text{ }packet=\frac{500}{350}\]
\[\Rightarrow Density\text{ }of\text{ }the\text{ }500\text{ }g\text{ }sealed\text{ }packet=1.428gc{{m}^{-3}}\]
The density of the substance is more than the density of water \[\left( 1gc{{m}^{-3}} \right)\].
Hence, the object will sink in water.
Clearly, the mass of water displaced by the packet can be considered equal to the volume of the packet\[=0.350g\].
Topic | Subtopics |
Gravitation | |
Free Fall | |
Mass | |
Weight | |
Thrust And Pressure | |
Archimedes’ Principle |
The universal law of gravitation: The force of attraction between any two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.
Archimedes’ Principle: When a body is immersed fully or partially in a fluid, it experiences an upward force that is equal to the weight of the fluid displaced by it.
Where \[G\]is the universal gravitation constant, which is given by:
Weight of the object on the moon = (1/6) × its weight on the earth.
Pressure= Thrust/Area
Vedantu’s solutions explain all key concepts covered in Ch 9 Science Class 9, including the Universal Law of Gravitation, acceleration due to gravity, the distinction between mass and weight, free fall, and gravitational fields.
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Vedantu’s NCERT Class 9 Gravitation NCERT Solutions is an important study material. They provide clear explanations and step-by-step solutions, helping students grasp important concepts like the laws of gravitation, mass, weight, and gravitational force. Focusing on these areas is essential, as they form the chapter's foundation. In previous years, around 7-8 questions on gravitation have been asked in exams, highlighting its importance. By using Gravitation Class 9 Questions And Answers, students can effectively prepare, clear their doubts, and perform well in their exams, ensuring a strong understanding of gravitation.
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1. How can students understand the features of Gravitational Force Properly?
Chapter 9 Science Class 9 is an important part of the Science syllabus. Focus on the classroom sessions and concentrate on what the teachers are explaining. Study the chapter unit-wise and clear your doubts by using the Science Class 9 NCERT Solutions provided by Vedantu. You will surely understand these newfound concepts well.
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4. Why does the Earth not move towards objects due to Gravitation according to Chapter 9 Gravitation of Class 9 Science?
Newton's third law states, “Every action has its equal and opposite reaction”. It means the force applied by an object on the Earth is equal to the force applied by the earth on the object, but we know that acceleration is inversely proportional to mass. This means when the acceleration is increased, the mass is decreased, or when the mass is increased, the acceleration is decreased. As the mass of the earth is large, the acceleration due to an object is small or negligible. Therefore, it's not noticeable. And the Earth doesn’t seem to be moving.
5. What are the different applications of Archimedes' principle?
The different applications of Archimedes' principle include the following:
It is used in designing ships and submarines.
Lactometers used to determine the purity of a milk sample and hydrometers used to determine the density of a liquid are based on this principle.
6. Why does the Earth doesn’t move towards objects due to Gravitation according to Chapter 9 Gravitation of Class 9 Science?
As per Newton's third law, “Every action has its equal and opposite reaction”. It means the force applied by an object on the Earth is equal to the force applied by the earth on the object, but we know that acceleration is inversely proportional to mass. This means when the acceleration is increased, the mass is decreased or when the mass is increased, the acceleration is decreased. As the mass of the earth is large, the acceleration due to an object is small or negligible. Therefore, it's not noticeable. And the Earth doesn’t seem to be moving.
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* According to the CBSE Syllabus 2023-24, this chapter has been renumbered as Chapter 9.
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Exercise-10.1 page: 134.
1. State the universal law of gravitation.
The universal law of gravitation states that every object in the universe attracts every other object with a force called the gravitational force. The force acting between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
2. Write the formula to find the magnitude of the gravitational force between the earth and an object on the surface of the earth.
Consider F as the force of attraction between an object on the surface of earth and the earth
Also, consider ‘m’ as the mass of the object on the surface of earth and ‘M’ as the mass of earth
The distance between the earth’s centre and object = Radius of the earth = R
Therefore, the formula for the magnitude of the gravitational force between the earth and an object on the surface is given as
F = G Mm/R 2
1. What do you mean by free fall?
Earth’s gravity attracts each object to its center. When an object is dropped from a certain height, under the influence of gravitational force it begins to fall to the surface of Earth. Such an object movement is called free fall.
2. What do you mean by acceleration due to gravity?
When an object falls freely from a certain height towards the earth’s surface, its velocity keeps changing. This velocity change produces acceleration in the object known as acceleration due to gravity and denoted by ‘g’.
The value of the acceleration due to gravity on Earth is,
1. What are the differences between the mass of an object and its weight?
The differences between the mass of an object and its weight are tabulated below.
Mass | Weight |
Mass is the quantity of matter contained in the body. | Weight is the force of gravity acting on the body. |
It is the measure of inertia of the body. | It is the measure of gravity. |
It only has magnitude. | It has magnitude as well as direction. |
Mass is a constant quantity. | Weight is not a constant quantity. It is different at different places. |
Its SI unit is kilogram (kg). | Its SI unit is the same as the SI unit of force, i.e., Newton (N). |
2. Why is the weight of an object on the moon 1/6th its weight on the earth?
The mass of the moon is 1/100 times and its radius 1/4 times that of earth. As a result, the gravitational attraction on the moon is about one-sixth when compared to earth. The moon’s gravitation force is determined by the mass and the size of the moon. Hence, the weight of an object on the moon is 1/6th its weight on the earth. The moon is far less massive than the Earth and has a different radius(R) as well.
1. Why is it difficult to hold a school bag having a strap made of a thin and strong string?
It is tough to carry a school bag having a skinny strap because of the pressure that is being applied on the shoulders. The pressure is reciprocally proportional to the expanse on which the force acts. So, the smaller the surface area, the larger is going to be the pressure on the surface. In the case of a skinny strap, the contact expanse is quite small. Hence, the pressure exerted on the shoulder is extremely huge.
2. What do you mean by buoyancy?
The upward force possessed by a liquid on an object that’s immersed in it is referred to as buoyancy.
3. Why does an object float or sink when placed on the surface of water?
An object floats or sinks when placed on the surface of water because of two reasons.
(i) If its density is greater than that of water, an object sinks in water.
(ii) If its density is less than that of water, an object floats in water.
1. You find your mass to be 42 kg on a weighing machine. Is your mass more or less than 42 kg?
A weighing machine measures the body weight and is calibrated to indicate the mass. If we stand on a weighing machine, the weight acts downwards while the upthrust due to air acts upwards. So our apparent weight becomes less than the true weight. This apparent weight is measured by the weighing machine and therefore the mass indicated is less than the actual mass. So our actual mass will be more than 42 kg.
2. You have a bag of cotton and an iron bar, each indicating a mass of 100 kg when measured on a weighing machine. In reality, one is heavier than other. Can you say which one is heavier and why?
The correct answer is the cotton bag is heavier than an iron bar. The bag of cotton is heavier than the bar of iron. The cotton bag experiences a larger air thrust than the iron bar. Therefore, the weighing machine indicates less weight than its actual weight for the cotton bag. The reason is
True weight = (apparent weight + up thrust)
The cotton bag’s density is less than that of the iron bar, so the volume of the cotton bag is more compared to the iron bar. So the cotton bag experience more upthrust due to the presence of air.
Therefore, in the presence of air, the cotton bag’s true weight is more compared to the true weight of the iron bar.
1. How does the force of gravitation between two objects change when the distance between them is reduced to half?
Consider the Universal law of gravitation,
According to that law, the force of attraction between two bodies is
m 1 and m 2 are the masses of the two bodies.
G is the gravitational constant.
r is the distance between the two bodies.
Given that the distance is reduced to half then,
Therefore once the space between the objects is reduced to half, then the force of gravitation will increase by fourfold the first force.
2. Gravitational force acts on all objects in proportion to their masses. Why then does a heavy object not fall faster than a light object?
All objects fall from the top with a constant acceleration called acceleration due to gravity (g). This is constant on earth and therefore the value of ‘g’ doesn’t depend on the mass of an object. Hence, heavier objects don’t fall quicker than light-weight objects provided there’s no air resistance.
3. What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6 × 10 24 kg and radius of the earth is 6.4 × 10 6 m.)
From Newton’s law of gravitation, we know that the force of attraction between the bodies is given by
4. The earth and the moon are attracted to each other by gravitational force. Does the earth attract the moon with a force that is greater or smaller or the same as the force with which the moon attracts the earth? Why?
The earth attracts the moon with a force same as the force with which the moon attracts the earth. However, these forces are in opposite directions. By universal law of gravitation, the force between moon and also the sun can be
d = distance between the earth and moon.
m 1 and m 2 = masses of earth and moon respectively.
5. If the moon attracts the earth, why does the earth not move towards the moon?
According to the universal law of gravitation and Newton’s third law, we all know that the force of attraction between two objects is the same, however in the opposite directions. So the earth attracts the moon with a force same as the moon attracts the earth but in opposite directions. Since earth is larger in mass compared to that of the moon, it accelerates at a rate lesser than the acceleration rate of the moon towards the Earth. Therefore, for this reason the earth does not move towards the moon.
6. What happens to the force between two objects, if
(i) The mass of one object is doubled?
(ii) The distance between the objects is doubled and tripled?
(iii) The masses of both objects are doubled?
According to universal law of gravitation, the force between 2 objects (m 1 and m 2 ) is proportional to their plenty and reciprocally proportional to the sq. of the distance(R) between them.
If the mass is doubled for one object.
F = 2F, so the force is also doubled.
If the distance between the objects is doubled and tripled
If it’s doubled
F = (Gm 1 m 2 )/(2R) 2
F = 1/4 (Gm 1 m 2 )/R 2
Force thus becomes one-fourth of its initial force.
Now, if it’s tripled
F = (Gm 1 m 2 )/(3R) 2
F = 1/9 (Gm 1 m 2 )/R 2
Force thus becomes one-ninth of its initial force.
If masses of both the objects are doubled, then
F = 4F, Force will therefore be four times greater than its actual value.
7. What is the importance of universal law of gravitation?
The universal law of gravitation explains many phenomena that were believed to be unconnected:
(i) The motion of the moon round the earth
(ii) The responsibility of gravity on the weight of the body which keeps us on the ground
(iii) The tides because of the moon and therefore the Sun
(iv) The motion of planets round the Sun
8. What is the acceleration of free fall?
Acceleration due to gravity is the acceleration gained by an object due to gravitational force. On Earth, all bodies experience a downward force of gravity which Earth’s mass exerts on them. The Earth’s gravity is measured by the acceleration of the freely falling objects. At Earth’s surface, the acceleration of gravity is 9.8 ms -2 and it is denoted by ‘g’. Thus, for every second an object is in free fall, its speed increases by about 9.8 metres per second.
9. What do we call the gravitational force between the earth and an object?
The gravitation force between the earth and an object is called weight. Weight is equal to the product of acceleration due to the gravity and mass of the object.
10. Amit buys few grams of gold at the poles as per the instruction of one of his friends. He hands over the same when he meets him at the equator. Will the friend agree with the weight of gold bought? If not, why? [Hint: The value of g is greater at the poles than at the equator.]
The weight of a body on the earth’s surface;
W = mg (where m = mass of the body and g = acceleration due to gravity)
The value of g is larger at poles when compared to the equator. So gold can weigh less at the equator as compared to the poles.
Therefore, Amit’s friend won’t believe the load of the gold bought.
11. Why will a sheet of paper fall slower than one that is crumpled into a ball?
A sheet of paper has a larger surface area when compared to a crumpled paper ball. A sheet of paper will face a lot of air resistance. Thus, a sheet of paper falls slower than the crumpled ball.
12. Gravitational force on the surface of the moon is only 1/6 as strong as gravitational force on the earth. What is the weight in newton’s of a 10 kg object on the moon and on the earth?
Given data:
Acceleration due to earth’s gravity = g e or g = 9.8 m/s 2
Object’s mass, m = 10 kg
Acceleration due to moon gravity = g m
Weight on the earth= W e
Weight on the moon = W m
Weight = mass x gravity
g m = (1/6) g e (given)
So W m = m g m = m x (1/6) g e
W m = 10 x (1/6) x 9.8 = 16.34 N
W e = m x g e = 10 x 9.8
13. A ball is thrown vertically upwards with a velocity of 49 m/s.
(i) The maximum height to which it rises,
(ii) The total time it takes to return to the surface of the earth.
Initial velocity u = 49 m/s
Final speed v at maximum height = 0
Acceleration due to earth gravity g = -9.8 m/s 2 (thus negative as ball is thrown up).
By third equation of motion,
2gH = v 2 – u 2
2 × (- 9.8) × H = 0 – (49) 2
– 19.6 H = – 2401
H = 122.5 m
Total time T = Time to ascend (T a ) + Time to descend (T d )
0 = 49 + (-9.8) x T a
Ta = (49/9.8) = 5 s
Also, T d = 5 s
Therefore T = T a + T d
14. A stone is released from the top of a tower of height 19.6 m. Calculate its final velocity just before touching the ground.
Initial velocity
Tower height = total distance = 19.6m
g = 9.8 m/s 2
Consider third equation of motion
v 2 = u 2 + 2gs
v 2 = 0 + 2 × 9.8 × 19.6
v 2 = 384.16
v = √(384.16)
v = 19.6m/s
15. A stone is thrown vertically upward with an initial velocity of 40 m/s. Taking g = 10 m/s 2 , find the maximum height reached by the stone. What is the net displacement and the total distance covered by the stone?
Initial velocity u = 40m/s
g = 10 m/s 2
Max height final velocity = 0
0 = (40) 2 – 2 x 10 x s
s = (40 x 40) / 20
Maximum height s = 80m
Total Distance = s + s = 80 + 80
Total Distance = 160m
Total displacement = 0 (The first point is the same as the last point)
16. Calculate the force of gravitation between the earth and the Sun, given that the mass of the earth = 6 × 10 24 kg and of the Sun = 2 × 10 30 kg. The average distance between the two is 1.5 × 10 11 m.
Mass of the sun m s = 2 × 10 30 kg
Mass of the earth m e = 6 × 10 24 kg
Gravitation constant G = 6.67 x 10 -11 N m 2 / kg 2
Average distance r = 1.5 × 10 11 m
Consider Universal law of Gravitation
17. A stone is allowed to fall from the top of a tower 100 m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 25 m/s. Calculate when and where the two stones will meet.
(i) When the stone from the top of the tower is thrown,
Initial velocity u’ = 0
Distance travelled = x
Time taken = t
(ii) When the stone is thrown upwards,
Initial velocity u = 25 m/s
Distance travelled = (100 – x)
From equations (a) and (b)
5t 2 = 100 -25t + 5t 2
t = (100/25) = 4sec.
After 4sec, two stones will meet
x = 5t 2 = 5 x 4 x 4 = 80m.
Putting the value of x in (100-x)
= (100-80) = 20m.
This means that after 4sec, 2 stones meet a distance of 20 m from the ground.
18. A ball thrown up vertically returns to the thrower after 6 s. Find
(a) The velocity with which it was thrown up,
(b) The maximum height it reaches, and
(c) Its position after 4s.
g = 10m/s 2
Total time T = 6sec
T a = T d = 3sec
(a) Final velocity at maximum height v = 0
From first equation of motion:-
v = u – gt a
u = v + gt a
= 0 + 10 x 3
The velocity with which stone was thrown up is 30m/s.
(b) From second equation of motion
The maximum height stone reaches is 45m.
(c) In 3sec, it reaches the maximum height.
Distance travelled in another 1sec = s’
The distance travelled in another 1sec = 5m.
Therefore in 4sec, the position of point p (45 – 5)
= 40m from the ground.
19. In what direction does the buoyant force on an object immersed in a liquid act?
The buoyant force on an object that is immersed in a liquid will be in a vertically upward direction.
20. Why a block of plastic when released under water come up to the surface of water?
The density of plastic is lesser than that of water. Therefore, the force of buoyancy on plastic block will be greater than the weight of plastic block. Hence, the acceleration of plastic block is going to be in the upward direction. So, the plastic block comes up to the surface of water.
21. The volume of 50 g of a substance is 20 cm 3 . If the density of water is 1 g cm –3 , will the substance float or sink?
To find the Density of the substance the formula is
Density = (Mass/Volume)
Density = (50/20) = 2.5g/cm 3
Density of water = 1g/cm 3
Density of the substance is greater than density of water. So the substance will sink.
22. The volume of a 500 g sealed packet is 350 cm 3 . Will the packet float or sink in water if the density of water is 1 g cm –3 ? What will be the mass of the water displaced by this packet?
Density of sealed packet = 500/350 = 1.42 g/cm 3
Density of sealed packet is greater than density of water
Therefore the packet will sink.
Considering Archimedes Principle,
Displaced water volume = Force exerted on the sealed packet.
Volume of water displaced = 350cm 3
Therefore displaced water mass = ρ x V
Mass of displaced water = 350g.
Chapter 10 – Gravitation is a part of Unit 3 – Motion, Force and Work, which carries a total of 27 out of 100. Usually, 2 or 3 questions do appear from this chapter every year, as previous trends have shown.
The topics usually covered under this chapter are:
Often times, the term gravity and gravitation are used interchangeably and this is wrong. However, these two terms are related to each other but their implications are quite different. Academically, Chapter 10 – Gravitation is an important concept as it carries a considerable weightage in the CBSE exam. Therefore, ensure that all relevant concepts, formulas and diagrams are studied thoroughly.
Explore how gravitation works at the molecular level, discover its applications and learn other related important concepts by exploring our NCERT Solutions.
Disclaimer:
Dropped Topics – Following Box Items: a. Brief Description of Isaac Newton, b. How did Newton guess the inverse– square rule? 10.7 Relative Density and Example 10.7.
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NCERT Solutions for Class 9 Science Chapter 10 Gravitation
July 4, 2018 by Prasanna
These Solutions are part of NCERT Solutions for Class 9 Science . Here we have given NCERT Solutions for Class 9 Science Chapter 10 Gravitation. LearnInsta.com provides you the Free PDF download of NCERT Solutions for Class 9 Science (Physics) Chapter 10 – Gravitation solved by Expert Teachers as per NCERT (CBSE) Book guidelines. All Chapter 10 – Gravitation Exercise Questions with Solutions to help you to revise complete Syllabus and Score More marks.
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NCERT TEXT BOOK QUESTIONS
IN TEXT QUESTIONS
Question 1. State the universal law of gravitation. (CBSE Sample Paper, CBSE 2010, 2011, 2012, 2013, 2015) Answer: The force of attraction between two particles or objects is
Question 3. What do you mean by free fall ?
What is meant by free fall ? (CBSE 2010, 2011, 2012, 2013) Answer: When an object falls towards the earth under the influence of gravitational force alone, then the object is in free fall.
Question 4. What do you mean by acceleration due to gravity ? (CBSE 2011, 2012, 2013) Answer: The acceleration with which an object falls freely towards the earth is known as acceleration due to gravity. It is denoted by ‘g’.
Question 5. What is the difference between the mass of an object and its weight ? (CBSE 2010, 2011, 2012, 2013) Answer:
The quantity of matter contained in a body is called the mass of the body. | The force with which the earth attracts a body towards its centre is called the weight of the body. |
Mass of a body remains constant. | Weight of a body changes from place to place as it depends on the value ‘g’ and ‘g’ is different at different places. |
Mass of a body is never zero. | Weight of a body at the centre of the earth is zero. |
Mass is a scalar quantity. | Weight is a vector quantity. |
Mass is measured in kg. | Weight is measured in kg wt or N. |
Mass is measured by a beam balance. | Weight is measured by a weighing machine or a spring balance. |
NCERT CHAPTER END EXERCISE
Question 2. Gravitational force acts on all objects in proportion to their masses. Why, then, a heavy object does not fall faster than a light object ? (CBSE 2015) Answer: The acceleration with which a body falls towards the earth is constant (= 9.8 m s -2 ) and independent of the mass of the body. Thus, all bodies fall with the same acceleration irrespective of their masses. That is why, a heavy body does not fall faster than the light body.
Question 4. The earth and the moon are attracted to each other by gravitational force. Does the earth attract the moon with a force that is greater or smaller or the same as the force with which the moon attracts the earth ? Why ? Answer: Gravitational force with which a body A attracts another body B is equal in magnitude and opposite in direction to the gravitational force with which a body B attracts the body A. Thus, the magnitude of force with which the earth attracts the moon is equal to the magnitude of the force with which the moon attracts the earth. Thus, both the earth and the moon attract each other with equal forces.
Question 5. If the moon attracts the earth, why does the earth not move towards the moon ? (CBSE 2011, 2013, 2015) Answer: . The acceleration produced in the earth due to the force exerted on it by the moon is very small as the mass of the earth is very large. Hence, the movement of the earth towards the moon is not noticed.
Question 6. What happens to the force between two objects, if
Question 7. What is the importance of universal law of gravitation ? Answer: The gravitational force plays an important role in nature
Question 8. What is the acceleration of free fall ? Answer: Acceleration of free fall = 9.8 m s -2 ≈ 10 m s -2 .
Question 9. What do we call the gravitational force between the earth and an object ? Answer: Force of gravity.
Question 10. . Amit buys few grams of gold at the poles as per the instruction of one of his friends. He hands over the same when he meets him at the equator. Will the friend agree with the weight of gold bought ? If not, why ? (Hint: The value of g is greater at the poles than at the equator) (CBSE 2012, 2013) Answer: Weight = mg Since value of g is greater at the poles than at the equator, so the weight of gold at the poles will be greater than the weight of gold at the equator. Hence, his friend will say that the weight of the gold is less than as told by Amit.
Question 11. Why will a sheet of paper fall slower than one that is crumpled into a ball ? Answer: Since the area of a sheet of paper is more than the area of the paper crumpled into a small, therefore, a sheet of paper will experience a large opposing force due to air than the ball, while falling down. Hence, a sheet of paper falls slower than one that is crumpled into a ball.
Question 12. Gravitational force on the surface of the moon is only 1/6 as strong as gravitational force on the earth.
Question 17. A stone is allowed to fall from the top of a tower 100 m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 25 m/s. Calculate when and where the two stones will meet ? Answer: Let t = time after which both stones meet . S = distance of the stone dropped from the top of tower (100 – S) = distance travelled by the projected stone.
Get 100 percent accurate NCERT Solutions for Class 9 Science Chapter 10 (Gravitation) explained by expert Science teachers. We provide solutions for the questions given in Class 9 Science textbook as per CBSE Board guidelines from the latest NCERT book for Class 9 Science. The topics and sub-topics in Chapter 10 Gravitation
We cover all exercises in the chapter given below:-
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CBSE Case Study Questions Class 9 Science - Gravitation. Case 1: (1) Every object in the universe attracts every other object with a force which is proportional to the product of their masses (m1*m2) and inversely proportional to the square of the distance (d 2) between them. The force is along the line joining the centers of two objects.
Case Study/Passage-Based Questions. Case Study 1: According to the universal law of gravitation, the force between two particles or bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between these particles or bodies. Consider two bodies A and B having masses m 1 and m 2 ...
This led to the study on gravitation. The universal gravitational constant is numerically equal to the force of attraction between two unit masses when they are separated by a unit distance as measured from their centres. The accepted value of G is 6.673 x 10 -11 N-m 2 kg -2.
Case Study Questions for Class 9 Science Chapter 10 Gravitation. In CBSE Class 9 Science Paper, Students will have to answer some questions based on Assertion and Reason. There will be a few questions based on case studies and passage based as well. In that, a paragraph will be given, and then questions based on it will be asked.
Case study Questions on Class 9 Science Chapter 10 are very important to solve for your exam. Class 9 Science Chapter 10 Case Study Questions have been prepared for the latest exam pattern. ... If you have any other queries of CBSE Class 9 Science Gravitation Case Study and Passage Based Questions with Answers, feel free to comment below so ...
It is the force of gravity on a body. Value of G is 6.66x 10 -11 Nm 2 kg -2. 7. Law of gravitation gives the gravitational force between. (a) the earth and a point mass only. (b) the earth and Sun only. (c) any two bodies having some mass. (d) two charged bodies only. Soln:
by experts. Download PDF Case Study Questions of Class 9 Science to prepare for the upcoming CBSE Class 9 Exams Exam 2023-24. With the help of our well-trained and experienced faculty, we provide solved examples and detailed explanations for the recently added Class 9 Science case study questions. Case study questions are based on real or ...
Class 9 science case study question 1. Gases are highly compressible as compared to solids and liquids. The liquefied petroleum gas (LPG) cylinder that we get in our home for cooking or the oxygen supplied to hospitals in cylinders is compressed gas. Compressed natural gas (CNG) is used as fuel these days in vehicles.
Or you can also click Next. Get NCERT Solutions, Notes, Solutions to Intext Questions, Examples of Chapter 10 Class 9 Gravitation free at Teachoo.In this chapter, we will learnWhat isGravity?What isUniversal Law of GravitationImportantNatural PhenomenaOccurring Due to GravitationWhat isFree Fall?What isAcceleration Due To Grav.
Question 16. Calculate the force of gravitation between the earth and the sun, given that the mass of the earth = 6 × 10 24 kg and of the sun = 2 × 10 30 kg. The average distance between the two is 1.5 × 10 11 m. Solution: Thus, the earth and the sun attract each other by a gravitational force of 3.56 × 10 22 N.
State a relation between thrust and pressure. Q.2. State any one phenomena related to the Universal Law of Gravitation. Q.3. State Archimedes principle. Q.4. State universal law of gravitation. Q.5. State two factors in which the gravitational force between two objects depends.
Important Questions for Class 9 Science Chapter 10 Gravitation. Get important questions for Class 9 Science Chapter 10 Gravitation with PDF. Our subject expert prepared these important questions and answers as per the latest NCERT textbook. These important questions will be helpful to revise the important topics and concepts. You can easily ...
In these solutions, we have answered all the intext and exercise questions provided in NCERT class 9 science textbook. Class 9 NCERT Solutions Science Chapter 10 provided in this article are strictly based on the CBSE syllabus and curriculum. Students can easily download these solutions in PDF format for free from our app.
Question 1. State the universal law of gravitation. Answer. The universal law of gravitation states that every object in the universe attracts every other object with a force which is proportional to the product of their masses and inversely proportional to the square of the distance between them. The force is along the line joining the centres ...
These questions are based on the key concepts from the Science Chapter 10 from the NCERT textbooks for Class 9. Practising these CBSE Class 9 Science Important Questions from chapter 10 is the best way to ace the exams. Students can access the PDF format of the question paper by clicking the interactive link given in this article.
Answer: (d) Tarun wanted to measure the amount of water displaced by each ball when dipped in water. (b) The principle used is 'Archimedes' principle'. (c) Tarun showed the value of being helpful, kind and intelligent. Extra questions for Class 9 Science Chapter 10 Gravitation with answers is given below.
Force of attraction acting between them = F. It will be given by the universal law of gravitation. F = Gm 1 m 2 /d 2. where, G is the universal constant. G = 6.67×10 -11 Nm 2 kg -2. 2. Write the formula to find the magnitude of the gravitational force between the earth and an object on the surface of the earth. Answer.
February 4, 2022 February 4, 2022 Physics Gurukul Leave a Comment on Case Study and Passage Based Questions for Class 9 Science Chapter 10 Gravitation. ... Case Study Questions for Class 9 Science Chapter 1 Matter in Our Surroundings; An Imperial Capital - Vijayanagara Assertion Reason Questions for CBSE Class 12 History Chapter 7 ...
Explain each keywords. (b) An abject having mass 90 kg attracts another object of mass 50 kg. If the separation of them is 2 m then calculate gravitational force between them. Answer: (a) Universal law of gravitation is used to calculate the gravitational force between two objects. It holds everywhere.
Dipen. 10th June 2023. NCERT Solutions for Class 9 Science Chapter 9 Gravitation provides detailed answers for all in-text and exercise Questions. These solutions contain an in-depth explanation of each topic involved in the chapter. Students studying in class 9 can access these solutions for free in PDF format.
NCERT Solutions for Gravitation Class 9 Questions and Answers FREE PDF Download. Class 9 Science Ch 9 explores the concept of gravitational force, understanding its effects on celestial bodies like planets and moons, and Archimedes' Principle. Vedantu's Class 9 Gravitation NCERT Solutions solves all the questions in the chapter and helps ...
The PDF of solutions can be downloaded and referred to understand the method of answering complex questions. NCERT Solutions Class 9 Science Chapter 10 Gravitation PDFs are provided here for free. These NCERT Class 9 Science Solutions for Chapter 10 Gravitation can help students to clear any doubt instantly and ace well in the CBSE exam.
Question 2. Write the formula to find the magnitude of the gravitational force between the earth and an object on. the surface of the earth. (CBSE 2011, 2012, 2013) Answer: where M = mass of the earth, m = mass of the object, R = radius of the earth. Question 3.