University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 5, Problem 16CQ
How are the classical laws of conservation of energy and conservation of mass modified by modern relativity?
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The special theory of relativity has what effect on measurements done today? (a) None whatsoever, because any correction would be negligible. (b) We need to consider the effects of relativity when objects move close to the speed of light. (c) We should always make a correction for relativity because Newton’s laws are basically wrong. (d) It doesn’t matter, because we can’t make measurements where relativity would matter.
Chapter 5 Solutions
University Physics Volume 3
Ch. 5 - Check Your Understanding Explain how special...Ch. 5 - Check Your Understanding What is if v=0.650c?Ch. 5 - Check Your Understanding a. A particle travels at...Ch. 5 - Check Your Understanding A particle is traveling...Ch. 5 - Check Your Understanding Shaw that if a time...Ch. 5 - Check Your Understanding Distances along a...Ch. 5 - Check Your Understanding Suppose a space probe...Ch. 5 - Check Your Understanding What is the momentum of...Ch. 5 - Check Your Understanding What is the kinetic...Ch. 5 - Which of Einstein’s postulates of special...
Ch. 5 - Is Earth an inertial frame of reference? Is the...Ch. 5 - When you are flying in a commercial jet, it may...Ch. 5 - (a) Does motion affect the rate of a clock as...Ch. 5 - To whom does the elapsed time for a process seem...Ch. 5 - (a) How could you travel far into the future of...Ch. 5 - To whom does an object seem greater in length, an...Ch. 5 - Relativistic effects such as time dilation and...Ch. 5 - Suppose an astronaut is moving relative to Earth...Ch. 5 - Explain the meaning of the terms "red shift" and '...Ch. 5 - What happens to the relativistic Doppler effect...Ch. 5 - Is the relativistic Doppler effect consistent with...Ch. 5 - All galaxies farther away than about exhibit a red...Ch. 5 - How does modern relativity modify the law of...Ch. 5 - Is it possible for an external force to be acting...Ch. 5 - How are the classical laws of conservation of...Ch. 5 - What happens to the mass of water in a pot when it...Ch. 5 - Consider a thought experiment. You place an...Ch. 5 - The mass of the fuel in a nuclear reactor...Ch. 5 - We know that the velocity of an object with mass...Ch. 5 - Given the fact that light travels at c, can it...Ch. 5 - If you use an Earth based telescope to project a...Ch. 5 - What is if (b) IfCh. 5 - What is if IfCh. 5 - Particles called mesons are produced by...Ch. 5 - Suppose a particle called a kaon is created by...Ch. 5 - A neutral meson is a particle that can be created...Ch. 5 - A neutron lives 900 s when at rest relative to a...Ch. 5 - If relativistic effects are to be less than then...Ch. 5 - If relativistic effects are to be less than then...Ch. 5 - A spaceship, 200 m long as. seen on board, moves...Ch. 5 - How fast would a 6.0 m-long sports car have to be...Ch. 5 - (a) How far does the muon in Example 5.3 travel...Ch. 5 - (a) How long would the mum] in Example 5.3 have...Ch. 5 - Unreasonable Results A spaceship is heading...Ch. 5 - Describe the following physical occurrences as...Ch. 5 - Describe what happens to the angle and therefore...Ch. 5 - Describe the shape of the world line on a...Ch. 5 - A man standing still at a train station watches...Ch. 5 - When observed from the sun at a particular...Ch. 5 - A man is running on a straight road perpendicular...Ch. 5 - A man is running on a straight road that makes...Ch. 5 - In a frame at rest with respect to the billiard...Ch. 5 - In a frame at rest with respect to the billiard...Ch. 5 - In a frame S, two events are observed: event 1: a...Ch. 5 - If two spaceships are heading directly toward each...Ch. 5 - Two planets are on a collision course, heading...Ch. 5 - When a missile is shot from one spaceship toward...Ch. 5 - What is the relative velocity of two spaceships if...Ch. 5 - Prove that for any relative velocity v between two...Ch. 5 - Show that for any relative velocity v between two...Ch. 5 - A highway patrol officer uses a device that...Ch. 5 - Find the momentum of a helium nucleus having a...Ch. 5 - What is the momentum of an electron travelling at...Ch. 5 - (a) Find the momentum of a asteroid heading...Ch. 5 - (a) What is the momentum of a 2000-kg satellite...Ch. 5 - What is the velocity of an electron that has a...Ch. 5 - Find the velocity of a proton that has a momentum...Ch. 5 - What is the rest energy of an electron, given its...Ch. 5 - Find the rest energy in joules and MeV of a...Ch. 5 - If the rest energies of a proton and a neutron...Ch. 5 - The Big Bang that began the universe is estimated...Ch. 5 - A supernova explosion of a star produces of...Ch. 5 - (a) Using data from Potential Energy Of a...Ch. 5 - Using data from Potential Energy of a System...Ch. 5 - There is approximately of energy available from...Ch. 5 - A muon has a rest mass energy of 105.7 MeV, and it...Ch. 5 - A meson is a particle that decays into a muon and...Ch. 5 - (a) Calculate the relativistic kinetic energy of a...Ch. 5 - Alpha decay is nuclear decay in which a helium...Ch. 5 - (a) Beta decay is nuclear decay in which an...Ch. 5 - (a) At what relative velocity is (b) At what...Ch. 5 - (a) At what relative velocity is (b) At what...Ch. 5 - Unreasonable Results (a) Find the value of...Ch. 5 - (a) How long does it take the astronaut in Example...Ch. 5 - (a) How fast would an athlete need to be running...Ch. 5 - (a) Find the value of for the following situation....Ch. 5 - A clock in a spaceship tuns one-tenth the rate at...Ch. 5 - An astronaut has a heartbeat rate of 66 beats per...Ch. 5 - A spaceship (A) is moving at speed c/2 with to...Ch. 5 - Same two observers as in the preceding exercise,...Ch. 5 - Same two observers as in the preceding exercises....Ch. 5 - An observer at origin of inertial frame S sees a...Ch. 5 - An observer sees two events 1.5108s apart at a...Ch. 5 - An observer standing by the railroad tracks sees...Ch. 5 - Two astronomical events are observed from Earth to...Ch. 5 - Two astronomical events are observed to occur at a...Ch. 5 - A spacecraft starts from being at rest at the...Ch. 5 - (a) All but the closest galaxies are receding from...Ch. 5 - Suppose a spaceship heading straight toward the at...Ch. 5 - Repeat the preceding problem with the ship heading...Ch. 5 - If a spaceship is approaching the Earth at 0.100c...Ch. 5 - (a) Suppose the speed of light were only 3000 m/s....Ch. 5 - If a galaxy moving away from the Earth has a speed...Ch. 5 - A space probe speeding towards the nearest star...Ch. 5 - Near the center of our galaxy, hydrogen gas is...Ch. 5 - (a) Calculate the speed of a particle of dust that...Ch. 5 - (a) Calculate for a proton that has a momentum of...Ch. 5 - Show that the relativistic form of Newton’s second...Ch. 5 - A positron is an antimatter version of the...Ch. 5 - What is the kinetic energy in MeV of a meson that...Ch. 5 - Find the kinetic energy in MeV of a neutron with a...Ch. 5 - (a) Show that that at large velocities This means...Ch. 5 - One cosmic ray neuron has a velocity of 0.250c...Ch. 5 - What is for a proton having amass energy of 938.3...Ch. 5 - (a) What is the effective accelerating potential...Ch. 5 - (a) Using data from Potential Energy of a...Ch. 5 - (a) Calculate the energy released by the...Ch. 5 - A Van de Graaff accelerator utilizes a 50.0 MV...Ch. 5 - Suppose you use an average of 500 k W·h of...Ch. 5 - (a) A nuclear power plant converts energy from...Ch. 5 - Nuclear-powered rockets were researched for some...Ch. 5 - The sun energy at a rate of 3.85×10 26 W by the...Ch. 5 - Show that for a particle is invariant under...
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- How does modern relativity modify the law of conservation of momentum?arrow_forwardConsider the relativistic form of Newtons second law. Show that when F is parallel to v, F=m(1v2c2)3/2dvdt where m is the mass of an object and v is its speed.arrow_forwardWhich of Einstein’s postulates of special relativity includes a concept that does not ?t with the ideas of classical physics? Explain.arrow_forward
- To whom does an object seem greater in length, an observer moving with the object or an observer moving relative to the object? Which observer measures the object's proper length?arrow_forwardIf general relativity offers the best description of what happens in the presence of gravity, why do physicists still make use of Newton’s equations in describing gravitational forces on Earth (when building a bridge, for example)?arrow_forwardDerive the equation p = 0.3Br using the concepts of centripetal acceleration (Motion in TWO and Three Dimensions (http://cnx.org/content/m58288/ latest/)) and relativistic momentum (Relativity)arrow_forward
- It is said that Einstein, in his teenage years, asked the question, What would I see in a mirror if I carried it in my hands and ran at the speed of light? How would you answer this question?arrow_forwardCheck Your Understanding Explain how special relativity differs from general relativity.arrow_forwardWe know that the velocity of an object with mass has an upper limit of c. Is there an upper limit on its momentum? Its energy? Explain.arrow_forward
- You are driving on a freeway at a relativistic speed. Straight ahead of you, a technician standing on the ground turns on a searchlight and a beam of light moves exactly vertically upward, as seen by the technician. As you observe the beam of light, you measure the magnitude of the vertical component of its velocity as (a) equal to c, (b) greater than c, or (c) less than c. If the technician aims the searchlight directly at you instead of upward, you measure the magnitude of the horizontal component of its velocity as (d) equal to c, (e) greater than c, or (f) less than c.arrow_forwardA space probe speeding towards the nearest star moves at 0.250c and sends radio information at a broadcast frequency of 1.00 GHz. What frequency is received on Earth?arrow_forwardAccording to quantum relativity, about how much of your mass is due to the relativistic mass of moving sub-atomic particles? (In other words, how much of your mass is really kinetic energy?) Group of answer choices 0%; mass and energy are not the same thing. 5%. 100% if you're moving within your own reference frame. 60%. 98%.arrow_forward
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