COLLEGE PHYSICS
2nd Edition
ISBN: 9781711470832
Author: OpenStax
Publisher: XANEDU
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Chapter 28, Problem 5TP
To determine
The proof that the Relativistic kinetic energy becomes the same as classical kinetic energy whenthe velocity of the particle becomes equal to the
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Chapter 28 Solutions
COLLEGE PHYSICS
Ch. 28 - Which of Einstein's postulates of special...Ch. 28 - Is Earth an inertial frame of reference? Is the...Ch. 28 - When you are flying in a commercial jet, it may...Ch. 28 - Does motion affect the rate of a clock as measured...Ch. 28 - To whom does the elapsed time for a process seem...Ch. 28 - How could you travel far into the future without...Ch. 28 - To does an object seem greater in length, an...Ch. 28 - Relativistic effects such as time dilation and...Ch. 28 - Suppose an astronaut is moving relative to the...Ch. 28 - Explain the meaning of the terms "red shift" and...
Ch. 28 - What happens to the relativistic Doppler effect...Ch. 28 - Is the relativistic Doppler effect consistent with...Ch. 28 - All galaxies farther away than about 50106ly...Ch. 28 - How does modern relativity modify the law of...Ch. 28 - Is it possible for an external force to be acting...Ch. 28 - How are the classical laws of conservation of...Ch. 28 - What happens to the mass of water in a pot when it...Ch. 28 - Consider a thought experiment. You place an...Ch. 28 - The mass of the fuel in a nuclear reactor...Ch. 28 - We know that the velocity of an object with mass...Ch. 28 - Given the fact that light travels at c, can it...Ch. 28 - If you use an Earth-based telescope to project a...Ch. 28 - (a) What is if v=0.250c ? (b) If v=0.500c ?Ch. 28 - (a) What is if v=0.100c ? (b) If v=0.900c ?Ch. 28 - Particles called -mesons are produced by...Ch. 28 - Suppose a particle called a kaon is created by...Ch. 28 - A neutral -meson is a particle that can be...Ch. 28 - A neutron lives 900 s when at rest relative to an...Ch. 28 - If relativistic effects are to be less than 1%,...Ch. 28 - If relativistic effects are to be less than 3%,...Ch. 28 - (a) At what relative velocity is =1.50 ? (b) At...Ch. 28 - (a) At what relative velocity is =2.00 ? (b) At...Ch. 28 - Unreasonable Results (a) Find the value of for...Ch. 28 - A spaceship, 200 m long as seen on board, moves by...Ch. 28 - How fast would a 6.0 m-long sports car have to be...Ch. 28 - (a) How far does the muon in Example 28.1 travel...Ch. 28 - (a) How long would the muon in Example 28.1 have...Ch. 28 - (a) How long does it take the astronaut in Example...Ch. 28 - (a) How fast would an athlete need to be running...Ch. 28 - Unreasonable Results (a) Find the value of for...Ch. 28 - Unreasonable Results A spaceship is heading...Ch. 28 - Suppose a spaceship heading straight towards the...Ch. 28 - Repeat the previous problem with the ship heading...Ch. 28 - If a spaceship is approaching the Earth at 0.100c...Ch. 28 - (a) Suppose the speed of light were only 3000 m/s....Ch. 28 - If a galaxy moving away from the Earth has a speed...Ch. 28 - A space probe speeding towards the nearest star...Ch. 28 - If two spaceships are heading directly towards...Ch. 28 - Two planets are on a collision course, heading...Ch. 28 - When a missile is shot from one spaceship towards...Ch. 28 - What is the relative velocity of two spaceships if...Ch. 28 - Near the center of our galaxy, hydrogen gas is...Ch. 28 - A highway patrol officer uses a device that...Ch. 28 - Prove that for any relative velocity v between two...Ch. 28 - Show that for any relative velocity v between two...Ch. 28 - (a) All but the closest galaxies are receding from...Ch. 28 - Find the momentum of a helium nucleus having a...Ch. 28 - What is the momentum of an electron traveling at...Ch. 28 - (a) Find the momentum of a 1.00109 kg asteroid...Ch. 28 - (a) What is the momentum of a 2000 kg satellite...Ch. 28 - What is the velocity of an electron that has a...Ch. 28 - Find the velocity of a proton that has a momentum...Ch. 28 - (a) Calculate the speed of a 1.00- g particle of...Ch. 28 - (a) Calculate for a proton that has a momentum of...Ch. 28 - What is the rest energy of an electron, given its...Ch. 28 - Find the rest energy in joules and MeV of a...Ch. 28 - If the rest energies of a proton and a neutron...Ch. 28 - The Big Bang that began the universe is estimated...Ch. 28 - A supernova explosion of a 2.001031 kg star...Ch. 28 - (a) Using data from Table 7.1, calculate the mass...Ch. 28 - (a) Using data from Table 7.1, calculate the...Ch. 28 - There is approximately 1034 J of energy available...Ch. 28 - A muon has a rest mass energy of 105.7 MeV, and it...Ch. 28 - A -meson is a particle that decays into a muon...Ch. 28 - (a) Calculate the relativistic kinetic energy of a...Ch. 28 - Alpha decay is nuclear decay in which a helium...Ch. 28 - (a) Beta decay is nuclear decay in which an...Ch. 28 - A positron is an antimatter version of the...Ch. 28 - What is the kinetic energy in MeV of a -meson...Ch. 28 - Find the kinetic energy in MeV of a neutron with a...Ch. 28 - (a) Show that (pc)2/(m c 2)2=21. This means that...Ch. 28 - One cosmic ray neutron has a velocity of 0.250c...Ch. 28 - What is for a proton having a mass energy of...Ch. 28 - (a) What is the effective accelerating potential...Ch. 28 - (a) Using data from Table 7.1, find the mass...Ch. 28 - (a) Calculate the energy released by the...Ch. 28 - A Van de Graaff accelerator utilizes a 50.0 MV...Ch. 28 - Suppose you use an average of 500kWh of electric...Ch. 28 - (a) A nuclear power plant converts energy from...Ch. 28 - Nuclear-powered rockets were researched for some...Ch. 28 - The Sun produces energy at a rate of 4.001026 W by...Ch. 28 - Unreasonable Results A proton has a mass of...Ch. 28 - Construct Your Own Problem Consider a highly...Ch. 28 - Construct Your Own Problem Consider an astronaut...Ch. 28 - Prob. 1TPCh. 28 - Prob. 2TPCh. 28 - Prob. 3TPCh. 28 - Prob. 4TPCh. 28 - Prob. 5TPCh. 28 - Prob. 6TP
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- Draw a third quadrant vector C. (remember that boldface characters represent vector quantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x- axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally, show the smallest angles that C makes with the positive x-axis and the positive y-axis: call these angles p1 and p2, repectively. a) Prove the following formulas for the components of C involving the standard angle (hint: start with the formulas for the components based on the angle & and then use (look up if necessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 = 3π/2-8 (this will switch cosine and sine around and eliminate - signs as well)) - C=Ccose C₁=Csine b) Prove the following formulas for the components of C: C=Ccosp1 C=Ccosp2arrow_forwardNotation matters when working with vectors! In particular, it is important to distinguish between the vector itself (A) and its magnitude (A). Illustrate in four separate sketches that each of the following statements is possible: a) both R = A + B and R=A+B are correct b) R = A + B is correct, but R=A+B is incorrect c) R = A + B is incorrect, but R=A+B is correct d) both R = A + B and R=A+B are incorrectarrow_forwardYou know from your math courses that an infinitesimal segment of a circular arc can be considered as a straight line segment. Imagine that you cover a full circle in, say, the clockwise direction, with infinitesimal displacement vectors dr. Then evaluate fdr and fdr (the circle symbol on the integral just reminds us that we have to go around the full circle).arrow_forward
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