College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 28, Problem 9PE
(a) At what relative velocity is
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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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- A spacecraft is launched from the surface of the Earth with a velocity of 0.600c at an angle of 50.0° above the horizontal, positive x-axis. Another spacecraft is moving past with a velocity of 0.700c in the negative x direction. Determine the magnitude and direction of the velocity of the first spacecraft as measured by the pilot of the second spacecraft.arrow_forwardAs seen from Earth, two spaceships A and B are approaching along perpendicular directions. If A is observed by an Earth observer to have velocity uy = 0.90c and B to have a velocity ux = +0.90c, find the speed of ship A as measured by the pilot of B.arrow_forwardSuppose our Sun is about to explode. In an effort to escape, we depart in a spaceship at v = 0.80c and head toward the star Tau Ceti, 12 lightyears away. When we reach the midpoint of our journey from the Earth, we see our Sun explode and, unfortunately, at the same instant we see Tau Ceti explode as well. (a) In the spaceship’s frame of reference, should we conclude that the two explosions occurred simultaneously? If not, which occurred first? (b) In a frame of reference in which the Sun and Tau Ceti are at rest, did they explode simultaneously? If not, which exploded first?arrow_forward
- Calculate the momentum of a proton moving with a speed of (a) 0.010c, (b) 0.50c, (c) 0.90c. (d) Convert the answers of (a)(c) to MeV/c.arrow_forwardConsider an electron moving with speed 0.980c. a. What is the rest mass energy of this electron? b. What is the total energyof this electron? c. What is the kinetic energy of this electron?arrow_forwardShow that for any relative velocity v between two observers, a beam of light projected by one directly away from the other will move away at the of light (provided that v is less than c, of course).arrow_forward
- A spacecraft moves at a speed of 0.900c. If its length is L as measured by an observer on the spacecraft, what is the length measured by a ground observer?arrow_forwardOwen and Dina are at rest in frame S, which is moving at 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P9.63). Owen throws the ball to Dina at 0.800c (according to Owen), and their separation (measured in S) is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, (d) how fast is the ball moving, and (e) what time interval is required for the ball to reach Dina? Figure P9.63arrow_forwardProve that for any relative velocity v between two observers, a beam of light sent from one to the other will approach at speed c (provided that v is less than c, of course).arrow_forward
- Owen and Dina are at rest in frame S. which is moving at 0.600c with respect to frame S. They play a game of catch while Ed. at rest in frame S, watches the action (Fig. P39.91). Owen throws the ball to Dina at 0.800c (according to Owen), and their separation (measured in S') is equal to 1.80 1012 m. (a) According to Dina, how fast is the ball moving? (b) According to Dina, what time interval is required for the ball to reach her? According to Ed, (c) how far apart are Owen and Dina, (d) how fast is the ball moving, and (e) what time interval is required for the ball to reach Dina?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_forwardYou measure the volume of a cube at rest to be V0. You then measure the volume of the same cube as it passes you in a direction parallel to one side of the cube. The speed of the cube is 0.980c, so 5. Is the volume you measure close to (a) V0/25, (b) V0/5, (c) V0, (d) 5V0, or (e) 25V0?arrow_forward
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Length contraction: the real explanation; Author: Fermilab;https://www.youtube.com/watch?v=-Poz_95_0RA;License: Standard YouTube License, CC-BY