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You are here, fundamentals of physics i.
This course provides a thorough introduction to the principles and methods of physics for students who have good preparation in physics and mathematics. Emphasis is placed on problem solving and quantitative reasoning. This course covers Newtonian mechanics, special relativity, gravitation, thermodynamics, and waves.
This Yale College course, taught on campus twice per week for 75 minutes, was recorded for Open Yale Courses in Fall 2006. The Open Yale Courses Book Series. For more information about Professor Shankar’s book based on the lectures from this course, Fundamentals of Physics: Mechanics, Relativity, and Thermodynamics http://yalepress.yale.edu/yupbooks/book.asp?isbn=9780300192209 click here.
Wolfson, Richard and Jay Pasachoff. 1998. Physics with Modern Physics for Scientists and Engineers , 3d ed. Reading, MA: Addison Wesley Publishing Company.
Recommended: Shankar, Ramamurti. 2003. Basic Training in Mathematics: A Fitness Program for Science Students . New York: Springer Publishing Company.
Homework will be given every Wednesday and is due the following Wednesday before class. Solutions will be posted on Wednesdays, so problem sets must be turned in on time. There will be one in-class midterm halfway through the semester.
Homework: 20% Midterm examination: 30% Final examination: 50% Letter grades will be assigned by taking the highest score of either the total final average or the final exam.
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Problems & Exercises
1.2 physical quantities and units.
The speed limit on some interstate highways is roughly 100 km/h. (a) What is this in meters per second? (b) How many miles per hour is this?
A car is traveling at a speed of 33 m/s 33 m/s size 12{"33"" m/s"} {} . (a) What is its speed in kilometers per hour? (b) Is it exceeding the 90 km/h 90 km/h size 12{"90"" km/h"} {} speed limit?
Show that 1 . 0 m/s = 3 . 6 km/h 1 . 0 m/s = 3 . 6 km/h size 12{1 "." 0`"m/s"=3 "." "6 km/h"} {} . Hint: Show the explicit steps involved in converting 1 . 0 m/s = 3 . 6 km/h. 1 . 0 m/s = 3 . 6 km/h. size 12{1 "." 0`"m/s"=3 "." "6 km/h"} {}
American football is played on a 100-yd-long field, excluding the end zones. How long is the field in meters? (Assume that 1 meter equals 3.281 feet.)
Soccer fields vary in size. A large soccer field is 115 m long and 85 m wide. What are its dimensions in feet and inches? (Assume that 1 meter equals 3.281 feet.)
What is the height in meters of a person who is 6 ft 1.0 in. tall? (Assume that 1 meter equals 39.37 in.)
Mount Everest, at 29,028 feet, is the tallest mountain on the Earth. What is its height in kilometers? (Assume that 1 kilometer equals 3,281 feet.)
The speed of sound is measured to be 342 m/s 342 m/s size 12{"342"" m/s"} {} on a certain day. What is this in km/h?
Tectonic plates are large segments of the Earth’s crust that move slowly. Suppose that one such plate has an average speed of 4.0 cm/year. (a) What distance does it move in 1 s at this speed? (b) What is its speed in kilometers per million years?
(a) Refer to Table 1.3 to determine the average distance between the Earth and the Sun. Then calculate the average speed of the Earth in its orbit in kilometers per second. (b) What is this in meters per second?
1.3 Accuracy, Precision, and Significant Figures
Express your answers to problems in this section to the correct number of significant figures and proper units.
Suppose that your bathroom scale reads your mass as 65 kg with a 3% uncertainty. What is the uncertainty in your mass (in kilograms)?
A good-quality measuring tape can be off by 0.50 cm over a distance of 20 m. What is its percent uncertainty?
(a) A car speedometer has a 5.0 % 5.0 % size 12{5.0%} {} uncertainty. What is the range of possible speeds when it reads 90 km/h 90 km/h size 12{"90"" km/h"} {} ? (b) Convert this range to miles per hour. 1 km = 0.6214 mi 1 km = 0.6214 mi size 12{"1 km" "=" "0.6214 mi"} {}
An infant’s pulse rate is measured to be 130 ± 5 130 ± 5 size 12{"130" +- 5} {} beats/min. What is the percent uncertainty in this measurement?
(a) Suppose that a person has an average heart rate of 72.0 beats/min. How many beats does he or she have in 2.0 y? (b) In 2.00 y? (c) In 2.000 y?
A can contains 375 mL of soda. How much is left after 308 mL is removed?
State how many significant figures are proper in the results of the following calculations: (a) 106 . 7 98 . 2 / 46 . 210 1 . 01 106 . 7 98 . 2 / 46 . 210 1 . 01 size 12{ left ("106" "." 7 right ) left ("98" "." 2 right )/ left ("46" "." "210" right ) left (1 "." "01" right )} {} (b) 18 . 7 2 18 . 7 2 size 12{ left ("18" "." 7 right ) rSup { size 8{2} } } {} (c) 1 . 60 × 10 − 19 3712 1 . 60 × 10 − 19 3712 size 12{ left (1 "." "60" times "10" rSup { size 8{ - "19"} } right ) left ("3712" right )} {} .
(a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (c) Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?
(a) If your speedometer has an uncertainty of 2 . 0 km/h 2 . 0 km/h size 12{2 "." 0" km/h"} {} at a speed of 90 km/h 90 km/h size 12{"90"" km/h"} {} , what is the percent uncertainty? (b) If it has the same percent uncertainty when it reads 60 km/h 60 km/h size 12{"60"" km/h"} {} , what is the range of speeds you could be going?
(a) A person’s blood pressure is measured to be 120 ± 2 mm Hg 120 ± 2 mm Hg size 12{"120" +- 2" mm Hg"} {} . What is its percent uncertainty? (b) Assuming the same percent uncertainty, what is the uncertainty in a blood pressure measurement of 80 mm Hg 80 mm Hg size 12{"80"" mm Hg"} {} ?
A person measures his or her heart rate by counting the number of beats in 30 s 30 s size 12{"30"" s"} {} . If 40 ± 1 40 ± 1 size 12{"40" +- 1} {} beats are counted in 30 . 0 ± 0 . 5 s 30 . 0 ± 0 . 5 s size 12{"30" "." 0 +- 0 "." 5" s"} {} , what is the heart rate and its uncertainty in beats per minute?
What is the area of a circle 3 . 102 cm 3 . 102 cm size 12{3 "." "102"" cm"} {} in diameter?
If a marathon runner averages 9.5 mi/h, how long does it take him or her to run a 26.22-mi marathon?
A marathon runner completes a 42 . 188 -km 42 . 188 -km size 12{"42" "." "188""-km"} {} course in 2 h 2 h size 12{2" h"} {} , 30 min, and 12 s 12 s size 12{"12"" s"} {} . There is an uncertainty of 25 m 25 m size 12{"25"" m"} {} in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the uncertainty in the elapsed time. (c) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?
The sides of a small rectangular box are measured to be 1 . 80 ± 0 . 01 cm 1 . 80 ± 0 . 01 cm size 12{1 "." "80" +- 0 "." "01"" cm"} {} , {} 2 . 05 ± 0 . 02 cm, and 3 . 1 ± 0 . 1 cm 2 . 05 ± 0 . 02 cm, and 3 . 1 ± 0 . 1 cm size 12{2 "." "05" +- 0 "." "02"" cm, and 3" "." 1 +- 0 "." "1 cm"} {} long. Calculate its volume and uncertainty in cubic centimeters.
When non-metric units were used in the United Kingdom, a unit of mass called the pound-mass (lbm) was employed, where 1 lbm = 0 . 4539 kg 1 lbm = 0 . 4539 kg size 12{1" lbm"=0 "." "4539"`"kg"} {} . (a) If there is an uncertainty of 0 . 0001 kg 0 . 0001 kg size 12{0 "." "0001"`"kg"} {} in the pound-mass unit, what is its percent uncertainty? (b) Based on that percent uncertainty, what mass in pound-mass has an uncertainty of 1 kg when converted to kilograms?
The length and width of a rectangular room are measured to be 3 . 955 ± 0 . 005 m 3 . 955 ± 0 . 005 m size 12{3 "." "955" +- 0 "." "005"" m"} {} and 3 . 050 ± 0 . 005 m 3 . 050 ± 0 . 005 m size 12{3 "." "050" +- 0 "." "005"" m"} {} . Calculate the area of the room and its uncertainty in square meters.
A car engine moves a piston with a circular cross section of 7 . 500 ± 0 . 002 cm 7 . 500 ± 0 . 002 cm size 12{7 "." "500" +- 0 "." "002"`"cm"} {} diameter a distance of 3 . 250 ± 0 . 001 cm 3 . 250 ± 0 . 001 cm size 12{3 "." "250" +- 0 "." "001"`"cm"} {} to compress the gas in the cylinder. (a) By what amount is the gas decreased in volume in cubic centimeters? (b) Find the uncertainty in this volume.
1.4 Approximation
How many heartbeats are there in a lifetime?
A generation is about one-third of a lifetime. Approximately how many generations have passed since the year 0 AD?
How many times longer than the mean life of an extremely unstable atomic nucleus is the lifetime of a human? (Hint: The lifetime of an unstable atomic nucleus is on the order of 10 − 22 s 10 − 22 s size 12{"10" rSup { size 8{ - "22"} } " s"} {} .)
Calculate the approximate number of atoms in a bacterium. Assume that the average mass of an atom in the bacterium is ten times the mass of a hydrogen atom. (Hint: The mass of a hydrogen atom is on the order of 10 − 27 kg 10 − 27 kg size 12{"10" rSup { size 8{ - "27"} } " kg"} {} and the mass of a bacterium is on the order of 10 − 15 kg. 10 − 15 kg. size 12{"10" rSup { size 8{ - "15"} } "kg"} {} )
Approximately how many atoms thick is a cell membrane, assuming all atoms there average about twice the size of a hydrogen atom?
(a) What fraction of Earth’s diameter is the greatest ocean depth? (b) The greatest mountain height?
(a) Calculate the number of cells in a hummingbird assuming the mass of an average cell is ten times the mass of a bacterium. (b) Making the same assumption, how many cells are there in a human?
Assuming one nerve impulse must end before another can begin, what is the maximum firing rate of a nerve in impulses per second?
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Expert TA University Physics Textbook (Coming Fall 2024)Expert TA now has a University Physics sequence underway, and Volume I will be ready for Fall 2024. This text was inspired by the OpenStax offering, and has been modified by our editorial team, based on a tremendous amount of input from the community. (New) Editable eBooks with OpenStaxAs a proud partner of OpenStax we aim to enhance their materials and offerings by providing technology solutions that they may not have themselves. Currently there is no way directly via OpenStax for instructors to customize or edit the texts in an eReader format. We are happy to help the adopters of these texts by now providing such an editor and corresponding eReader. Instructors will be able to rearrange, rewrite, change/add images, add new sections/chapters, or easily do more advanced things like embed videos or PheT simluations. Your edited version of the textbook will be distributed through an eReader and available to students from the main class management page in Expert TA. Our Content and Question TypesTextbook Independent Library Expert TA has partnered with dozens of institutions in order to create a collection of physics questions that can work seamlessly with any textbook. Not depending on their end-of-chapter questions, instructors can change their textbook from year to year, or even semester to semester, but their homework stays the same. The majority of our adopters use an option such as Knight, Halliday Resnick, Cutnell and Johnson, Giancoli, Serway and Jewett, Serway and Vuille, etc. for their textbook. OpenStax College and University Physics We provide coverage of the end-of-chapter question from both College Physics and the three-volume University Physics books. In addition, we supplement this by providing access to questions from our independent collection. The OpenStax problems are enhanced with hints and feedback, scaffolded where appropriate, and designed to leverage our advanced question types.  Automatically-Graded Free Body DiagramsNot only are Free Body Diagrams automatically graded, but Expert TA does so with partial credit and feedback specific to mistakes within the drawings. This allows students to participate in guided practice while completing a step that is critical to solving many physics problems. Through flexible Grade Preference settings, instructors are able to control how students will be graded for FBD questions. “Regarding your free body diagram exercises and drawing tool, I want to say Bravo! FBDs are a source of consternation for my students. This is a great resource for myself and my colleagues who use Expert TA.” – Prof. Malcolm Rickard, Mt. San Antonio Symbolic Expressions and Algorithmic QuestionsWith a focus on reinforcing the problem-solving process, students are asked to solve multi-step problems in Expert TA that require answering symbolic questions in intermediate parts. Of course, we have numeric, multiple-choice, and other question types, but Expert TA focuses its efforts on reinforcing the problem-solving process. Our robust math engine interprets the expressions that students intend regardless of the form and our proprietary equation entry palette makes it intuitive for students to input expressions. Both expressions and algorithmic questions in Expert TA are designed with specific feedback for the most common mistakes that students make. Our data-mining process is able to identify the most commonly submitted incorrect answers. Our team of physics instructors is used to author Socratic feedback specific to each mistake. Interactive Question TypesExpert TA has a class of Advanced Graphical questions where students interact with diagrams, schematics, graphs, etc. The question types include Ranking Sorting , Matching , and Drag-and-Drop Labeling . See the cycling animation below for examples. Studies show that students retain more information when concepts are brought to life with educational exercises that are more interactive. Drag-and-Drop labeling Questions can really get students thinking about the material. We have questions that Ranking Students actively order elements related to their size, sequence, etc. Sorting/Categorizing Students group items based on specified criteria. Matching/Pairing Items are moved to be paired with their corresponding relational “mate”. Having detailed and thorough solutions available to students is critical. Expert TA’s Introductory Physics library has comprehensive, step-by-step solutions.
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Paper PresentationBelow is a list of seminal papers in nuclear and particle physics. You are asked to form a team of two and pick a paper (first come first served). Please review the paper and prepare a 20-minute presentation summarizing the paper and also setting it into context. You can also suggest a paper not listed below. Parity ViolationExperimental Test of Parity Conservation in Beta Decays CP ViolationEvidence for the \(2\pi\) Decays of the \(K_2^0\) Meson Observation of Single Isolated Electrons of High Transverse Momentum in Events with Missing Transverse Energy at the CERN pp Collider Experimental Observation of Lepton Pairs of Invariant Mass around 95 GeV/c 2 at the CERN SPS Collider Neutrino OscillationsEvidence for Oscillation of Atmospheric Neutrinos Higgs BosonObservation of a New Boson at a Mass of 125 GeV with the CMS Experiment at the LHC Observation of a New Particle in the Search for the Standard Model Higgs Boson with the ATLAS Detector at the LHC Possible Existence of a Neutron Fermi’s Theory of Beta DecayFermi’s Theory of Beta Decay (PDF)  You are leaving MIT OpenCourseWare |
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Intro to Physics - Assignment 1. An educated scientific guess is a. Click the card to flip 👆. hypothesis. Click the card to flip 👆. 1 / 20.
Figure 1.3 The Apple iPhone is a common smart phone with a GPS function, sophisticated camera, haptic (vibration) capabilities, and many other functions. Physics describes the way that electricity flows through the circuits of this device. Engineers use their knowledge of physics to construct an iPhone with features that consumers will enjoy.
Module 5 • 2 hours to complete. Professor Bloomfield illustrates the physics concepts of rotational versus translational motion, Newton's law of rotation, and 5 physical quantities: angular position, angular velocity, angular acceleration, torque, and rotational mass using seesaws. What's included. 8 videos 1 quiz.
This physics textbook is designed to support my personal teaching activities at Duke University, in particular teaching its Physics 141/142, 151/152, or 161/162 series (Introduc-tory Physics for life science majors, engineers, or potential physics majors, respectively).
PHYS 200. About the Course. This course provides a thorough introduction to the principles and methods of physics for students who have good preparation in physics and mathematics. Emphasis is placed on problem solving and quantitative reasoning. This course covers Newtonian mechanics, special relativity, gravitation, thermodynamics, and waves.
Figure 1.1 The laws of physics describe the smallest and largest forces and structures, such as the Veil Nebula, a supernova remnant from a star that was 20 times larger than our Sun. Stretching over 110 light years across, the spectacular image is created by the stellar explosion's blast wave impacting clouds of gas. Scientists use successive observations of the still-moving wave to learn ...
Introduction to Dynamics: Newton's Laws of Motion; 4.1 Development of Force Concept; 4.2 Newton's First Law of Motion: Inertia; 4.3 Newton's Second Law of Motion: Concept of a System; 4.4 Newton's Third Law of Motion: Symmetry in Forces; 4.5 Normal, Tension, and Other Examples of Forces; 4.6 Problem-Solving Strategies; 4.7 Further Applications of Newton's Laws of Motion
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The physics archive contains legacy physics content, and is not being updated with new content. Exercises and mastery mechanics will soon be removed from the physics archive. For our most up-to-date, mastery-enabled courses, check out High School Physics, AP Physics 1, and AP Physics 2!
Physics 02-04 Tension, Hookes Law, Drag, and Equilibrium.pdf: 725.48kb; Physics 02-05 Nonequilibrium and Fundamental Forces.pdf: 722.21kb; Physics 02-06 Angular Velocity and Centripetal Acceleration.pdf: 687.53kb; Physics 02-07 Centripetal Force and Banked Curves.pdf: 705.49kb; Physics 02-08 Satellites.pdf: 626.11kb; Physics 03-01 Work and the ...
Introduction This isn't really a math textbook, but math is an extremely important part of physics. Physics textbooks usually at least attempt to include math support for key ideas, review-ing e.g. how to do a cross product. The problem with this is that this topical review
Studocu is not affiliated to or endorsed by any school, college or university. StudeerSnel B.V., Keizersgracht 424-sous, 1016 GC Amsterdam, KVK: 56829787, BTW: NL852321363B01. Studying PHY 150 Intro Physics: Mechanics at Southern New Hampshire University? On Studocu you will find 234 assignments, 157 coursework, 19 essays and much more for.
Physics; Interesting "Stuff" Introductory Materials Course Outline ... LS, SS - Writing Assignment MI, LS, SS - Video Assignment Multiple Intelligences Test (Online Activity) Establishing Goals - Writing Assignment ... Introductory Activity Engineering Design Process (PPT.) Catapult Challenge
Assignment Possible Points; Quizzes: 100: Proctored Final Exam: 200: ... Introduction to Physics : Explore fundamental physics concepts, scientific notations, dimensional analysis, linear ...
Expert TA provides a robust online homework tool for all introductory physics courses. The library contains over 6000 problems designed to reinforce the problem-solving process. This includes conceptual, both algebra and calculus-based questions. TA broad range of difficulty allows for use from basic high school to honors-level college classes.
The Physics Classroom Tutorial presents physics concepts and principles in an easy-to-understand language. Conceptual ideas develop logically and sequentially, ultimately leading into the mathematics of the topics. Each lesson includes informative graphics, occasional animations and videos, and Check Your Understanding sections that allow the user to practice what is taught.
Introduction to Physics Assignment - Free download as PDF File (.pdf), Text File (.txt) or read online for free. f
Paper Presentation. Below is a list of seminal papers in nuclear and particle physics. You are asked to form a team of two and pick a paper (first come first served). Please review the paper and prepare a 20-minute presentation summarizing the paper and also setting it into context. You can also suggest a paper not listed below.
The course is structured in eight modules. Following the first one which introduces our subject, the modules 2 (nuclear physics) and 3 (accelerators and detectors) are rather self contained and can be studied separately. The modules 4 to 6 go into more depth about matter and forces as described by the standard model of particle physics.