University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 5, Problem 54P
What is the momentum of an electron travelling at 0.98c?
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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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- An enemy spacecraft moves away from the Earth at a speed of v = 0.800c (Fig. P9.19). A galactic patrol spacecraft pursues at a speed of u = 0.900c relative to the Earth. Observers on the Earth measure the patrol craft to be overtaking the enemy craft at a relative speed of 0.100c. With what speed is the patrol craft overtaking the enemy craft as measured by the patrol crafts crew? Figure. P9.19arrow_forwardOwen 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_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
- An 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_forwardJoe and Moe are twins. In the laboratory frame at location S1 (2.00 km, 0.200 km, 0.150 km). Joe shoots a picture for aduration of t= 12.0 s. For the same duration as measured inthe laboratory frame, at location S2 (1.00 km, 0.200 km,0.300 km), Moe also shoots a picture. Both Joe and Moe begintaking their pictures at t = 0 in the laboratory frame. Determine the duration of each event as measured by an observer ina frame moving at a speed of 2.00 108 m/s along the x axisin the positive x direction. Assume that at t = t = 0, the origins of the two frames coincide.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. 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_forward
- Two 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_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_forwardA 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_forward
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