Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2, Problem 116CE
To determine
To Prove: That the classical Work-Energy theorem is also valid for the relativistic effect.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Electrons are accelerated through a potential difference of 850 kVkV , so that their kinetic energy is 8.5×105 eVeV .
A) What is the ratio of the speed vv of an electron having this energy to the speed of light, ccc?
Express your answer as a multiple of speed of light cc.
B) What would the speed be if it were computed from the principles of classical mechanics?
Express your answer in meters per second.
Consider a proton that has a momentum of 1.00 kg·m/s.
Part (a) Calculate the relativistic parameter γ for the proton. You will have to use a 2.998 × 108 for the speed of light to get this answer correct.
Part (b) What is its speed, in meters per second? Such protons form a rare component of cosmic radiation with uncertain origins.
An electron and a proton are each accelerated starting from rest through a potential difference of 35.0 million volts. Find the momentum (in MeV/c) and the kinetic energy (in MeV) of
each, and compare with the results of using the classical formulas. (Give your answers to at least four significant figures.)
Kinetic Energy
(MeV)
electron
proton
Momentum
(MeV/c)
relativistic
X
classical
X
X
Chapter 2 Solutions
Modern Physics
Ch. 2 - Explain to your friend, who is willing to accept...Ch. 2 - A friend says, “It makes no sense that Anna could...Ch. 2 - The Lorentz transformation equations have x and t...Ch. 2 - You are gliding over Earth’s surface at a high...Ch. 2 - A thin plate has a round hole whose diameter in...Ch. 2 - In the twin paradox situation, a fellow student...Ch. 2 - Does the asymmetric aging of an Earthbound...Ch. 2 - You are floating in space when you notice a flying...Ch. 2 - Prob. 9CQCh. 2 - A relativity enthusiast says, “If E=mc2 and energy...
Ch. 2 - Prob. 11CQCh. 2 - Prob. 12CQCh. 2 - Two objects isolated from the rest of the universe...Ch. 2 - Particles of light have no mass. Does the Sun’s...Ch. 2 - Prob. 15CQCh. 2 - In a television picture tube, a beam of electrons...Ch. 2 - Prob. 17ECh. 2 - Verify that the special case x=vt,x=0 leads to...Ch. 2 - If an object actually occupies less space...Ch. 2 - Through a window in Carl’s spaceship, passing at...Ch. 2 - According to an observer on Earth, a spacecraft...Ch. 2 - According to Bob on Earth, Planet Y (uninhabited)...Ch. 2 - Anna is on a railroad flatcar moving at 0.6c...Ch. 2 - A polevaulter holds a 16 ft. pole. A barn has...Ch. 2 - Anna and Bob are in identical spaceships, each 100...Ch. 2 - Bob is watching Anna fly by in her new highspeed...Ch. 2 - Rob and Bob Jr. stand at open doorways at opposite...Ch. 2 - The diagram shows Bob’s view of the passing of two...Ch. 2 - Refer to Figure 2.18. (a) How long is a spaceship?...Ch. 2 - You are in a bus traveling on a straight road at...Ch. 2 - A spaceship travels at 0.8c. As this spaceship...Ch. 2 - You are on a highspeed train, traveling at a...Ch. 2 - A famous experiment detected 527 muons per hour at...Ch. 2 - In the frame in which they are at rest, the number...Ch. 2 - A supersonic plane travels at 420 m/s. As this...Ch. 2 - Prob. 36ECh. 2 - According to Bob, on Earth, it is 20 ly to Planet...Ch. 2 - A plank, fixed to a sled at rest in frame S, is of...Ch. 2 - Bob in frame S, is observing the moving plank of...Ch. 2 - An experimenter determines that a particle created...Ch. 2 - A muon has a mean lifetime of 2.2s in its rest...Ch. 2 - A pion is an elementary particle that, on averages...Ch. 2 - Anna and Bob have identical spaceships 60 m long....Ch. 2 - Demonstrate that equations (212) and (213) become...Ch. 2 - Planet W is 12 ly from Earth. Anna and Bob are...Ch. 2 - Anna and Bob are both born just as Anna’s...Ch. 2 - Consider Anna, Bob, and Carl in the twin paradox....Ch. 2 - You stand at the center of your 100 m spaceship...Ch. 2 - From a standstill, you begin jogging at 5 m/s...Ch. 2 - A meterstick is glued to the wall with its 100 cm...Ch. 2 - Prob. 51ECh. 2 - By what factor would a star’s characteristic...Ch. 2 - At rest, a light source emits 532 nm light. (a) As...Ch. 2 - The light from galaxy NGC 221 consists of a...Ch. 2 - A space probe has a powerful light beacon that...Ch. 2 - Prob. 56ECh. 2 - Prob. 57ECh. 2 - To catch speeders, a police radar gun detects the...Ch. 2 - Bob is on Earth. Anna is on a spacecraft moving...Ch. 2 - According to Anna, on Earth, Bob is on a spaceship...Ch. 2 - Prove that if v and u are less than c, it is...Ch. 2 - In a particle collider experiment, particle 1 is...Ch. 2 - A light beam moves in the xyplane and has an...Ch. 2 - A light beam moves at an angle ? with the xaxis as...Ch. 2 - You tire a light signal at 60° north of west. (a)...Ch. 2 - At t=0 , a bright beacon at the origin flashes,...Ch. 2 - Prob. 67ECh. 2 - By applying the relativistic velocity...Ch. 2 - Prob. 69ECh. 2 - What are the momentum, energy, and kinetic energy...Ch. 2 - What would be the internal energy, kinetic energy,...Ch. 2 - By how much (in picograms) does the mass of 1 mol...Ch. 2 - Prob. 73ECh. 2 - A typical household uses 500 kWh of energy in 1...Ch. 2 - Prob. 75ECh. 2 - Prob. 76ECh. 2 - Prob. 77ECh. 2 - Show that the relativistic expression for kinetic...Ch. 2 - At Earth’s location, the intensity of sunlight is...Ch. 2 - Prob. 80ECh. 2 - Prob. 81ECh. 2 - Prob. 82ECh. 2 - How fast must an object be moving for its kinetic...Ch. 2 - How much work must be done to accelerate an...Ch. 2 - An electron accelerated from rest through a...Ch. 2 - What is the momentum of a proton accelerated...Ch. 2 - A proton is accelerated from through a potential...Ch. 2 - xzA particle of mass m0 moves the lab at 0.6c....Ch. 2 - 89. The boron14 nucleus (mass: 14.02266 u) “beta...Ch. 2 - A 3.000 u object moving to the right through a...Ch. 2 - A 10 kg object is moving to the right at 0.6c. It...Ch. 2 - Particle 1, of mass m1 , moving at 0.8c relative...Ch. 2 - Consider the collisions of two identical...Ch. 2 - A kaon (denoted K0 ) ¡s an unstable particle mass...Ch. 2 - In the frame of reference shown, a stationary...Ch. 2 - Prob. 96ECh. 2 - Show that E2=p2c2+m2c4 follows from expressions...Ch. 2 - Equation (2-30) is an approximation correct only...Ch. 2 - According to an observer at Earth’s equator, by...Ch. 2 - If it is fundamental to nature that a given mass...Ch. 2 - Prob. 101ECh. 2 - Suppose particles begin moving in one dimension...Ch. 2 - Prob. 103ECh. 2 - From the Lorentz transformation equations, show...Ch. 2 - (a) Determine the Lorentz transformation matrix...Ch. 2 - For the situation given in Exercise 22, find the...Ch. 2 - Show that equation (236) follows from the...Ch. 2 - A 1 kg object moves at 0.8crelative to Earth. (a)...Ch. 2 - From p=umu (i.e., px=umux , py=umuy , and pz=umuz...Ch. 2 - Prob. 110ECh. 2 - An object of mass 3m0 moves to the right at...Ch. 2 - Prob. 112ECh. 2 - Derive the following expressions for the...Ch. 2 - (a) Determine the Lorentz transformation matrix...Ch. 2 - A point charge +q rests halfway between two steady...Ch. 2 - Prob. 116CECh. 2 - Prob. 117CECh. 2 - A rocket maintains a constant thrust F, giving it...Ch. 2 - Exercise 117 gives the speed u of an object...Ch. 2 - In Example 2.5, we noted that Anna could go...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0x109ly away is receding from us at 0.900c, at what velocity relative to us must we send an exploratory probe to approach the other galaxy at 0.990c as measured from that galaxy? (b) How long will it take the probe to reach the other galaxy as measured from Earth? You may assume that the velocity of the other galaxy remains constant. (c) How long will it then take for a radio signal to be beamed back? (All of this is possible in principle, but not practical.)arrow_forwardAn atomic clock is placed in a jet airplane. The clock measures a time interval of 3600 s when the jet moves with a speed of 400 m/s. How much longer or shorter a time interval does an identical clock held by an observer on the ground measure? (Hint: For , γ ≈ 1 + v2/2c2.)arrow_forwardAn observer in frame S sees lightning simultaneously strike two points 100 m apart. The first strike occurs at x1 = y1 = z1 = t1 = 0 and the second at x2 = 100 m, y2 = z2 = t2 = 0. (a) What are the coordinates of these two events in a frame S moving in the standard configuration at 0.70c relative to S? (b) How far apart are the events in S? (c) Are the events simultaneous in S? If not, what is the difference in time between the events, and which event occurs first?arrow_forward
- (a) Suppose the speed of light were only 3000 m/s. A jet fighter moving toward a target on the ground at 800 m/s shoots bullets, each having a muzzle velocity of 1000 m/s. What are the bullets' velocity relative to the target? (b) If the speed of light was this small, would you observe relativistic effects in everyday life? Discuss.arrow_forward(a) Calculate the relativistic kinetic energy of a 1000-kg car moving at 30.0 m/s if the speed of light were only 45.0 m/s. (b) Find the ratio of the relativistic kinetic energy to classical.arrow_forwardSuppose an astronaut is moving relative to Earth at a significant fraction of the speed of light. (a) Does he observe the rate of his to have slowed? (b) What change in the rate of earthbound does he see? (c) Does his ship seem to him to shorten? (d) What about the distance between two stars that lie in the direction of his motion? (e) Do he and an earthbound observer agree on his velocity relative to Earth?arrow_forward
- Suppose the primed and laboratory observers want to measure the length of a rod that rests on the ground horizontally in the space between the helicopter and the tower (Fig. 39.8B). To derive the length transformation L = L (Eq. 39.5), we had to assume that the positions of the two ends were determined simultaneously. What happens to the length transformation equation if both observers measure the end below the helicopter at one time t1 and the other end at a later time t2?arrow_forwardOne cosmic ray neuron has a velocity of 0.250c relative to the Earth. (a) What is the neutron's total energy in MeV? (b) Find its momentum. (c) Is in this situation? Discuss in terms of the equation given in part (a) of the previous problem.arrow_forward(a) What is if v=0.250c ? (b) If v=0.500c ?arrow_forward
- (a) Find the value of for the following situation. An astronaut measures the length of his spaceship to be 100 m, while an observer measures it to be 25.0 m. (b) What is the of the spaceship relative to Earth?arrow_forwardSuppose an astronaut is moving relative to the Earth at a significant fraction of the speed of light. (a) Does he observe the rate of his clocks to have slowed? (b) What change in the rate of Earth-bound clocks does he see? (c) Does his ship seem to him to shorten? (d) What about the distance between stars that lie on lines parallel to his motion? (e) Do he and an Earth-bound observer agree on his velocity relative to the Earth?arrow_forward(a) Does motion affect the rate of a clock as measured by an observer moving with it? (b) Does motion affect how an observer moving relative to a clock measures its rate?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning