College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 28, Problem 41PE
(a) Calculate the speed of a 1.00-
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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...
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- (a) All but the closest galaxies are receding from our own Milky Way Galaxy. If a galaxy 12.0109ly ly away is receding from us at 0. 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 the 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_forwardTwo powerless rockets are on a collision course. The rockets are moving with speeds of 0.800c and 0.600c and are initially 2.52 × 1012 m apart as measured by Liz, an Earth observer, as shown in Figure P1.34. Both rockets are 50.0 m in length as measured by Liz. (a) What are their respective proper lengths? (b) What is the length of each rocket as measured by an observer in the other rocket? (c) According to Liz, how long before the rockets collide? (d) According to rocket 1, how long before they collide? (e) According to rocket 2, how long before they collide? (f) If both rocket crews are capable of total evacuation within 90 min (their own time), will there be any casualties? Figure P1.34arrow_forward(a) Beta decay is nuclear decay in which an electron is emitted. If the electron is given 0.750 MeV of kinetic energy, what is its velocity? (b) Comment on how the high velocity is consistent with the kinetic energy as it compares to the rest mass energy of the electron.arrow_forward
- One 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_forwardThe muon is an unstable particle that spontaneously decays into an electron and two neutrinos. If the number of muons at t = 0 is N0, the number at time t is given by , where τ is the mean lifetime, equal to 2.2 μs. Suppose the muons move at a speed of 0.95c and there are 5.0 × 104 muons at t = 0. (a) What is the observed lifetime of the muons? (b) How many muons remain after traveling a distance of 3.0 km?arrow_forwardCalculate 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_forward
- Consider 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_forward(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_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
- Owen and Dina are at rest in frame S, which is moving with a speed of 0.600c with respect to frame S. They play a game of catch while Ed, at rest in frame S, watches the action (Fig. P26.45). Owen throws the ball to Dina with a speed of 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, and (d) how fast is the ball moving? Figure. P26.45arrow_forwardPlans for ail accelerator that produces a secondary beam of K mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of 500 MeV. (a) What would the relativistic quantity =11v2/c2be for these particles? (b) How long would their average lifetime be in the laboratory? (c) How far could they travel in this time?arrow_forwardThe mass of the fuel in a nuclear reactor decreases by an observable amount as it puts out energy. Is the same true for the coal and oxygen combined in a conventional power plant? If so, is this observable in practice for the coal and oxygen? Explain.arrow_forward
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