Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 41, Problem 22SP
To determine
The magnitude of the classical momentum andrelativistic momentum and compare both, if the velocity of a proton of mass
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Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 41 - 16. Determine γ when the speed of a spacecraft is...Ch. 41 - Prob. 17SPCh. 41 - 41.18 [I] A spaceship is seen by a stationary...Ch. 41 - 41.19 [I] A space probe that was manufactured to...Ch. 41 - Prob. 20SPCh. 41 - Prob. 21SPCh. 41 - Prob. 22SPCh. 41 - 23. A proton has a mass of 1.672 6 × 10–27 kg and...Ch. 41 - Prob. 24SPCh. 41 - 41.25 [I] A proton has a mass of kg and is...
Ch. 41 - 26. At what speed must a particle move for γ to be...Ch. 41 - 27. A particle is traveling at a speed υ such that...Ch. 41 - 41.28 [I] Compute the rest energy of an...Ch. 41 - Prob. 29SPCh. 41 - 41.30 [II] A proton is accelerated to a kinetic...Ch. 41 - Prob. 31SPCh. 41 - 41.32 [II] A certain strain of bacteria doubles in...Ch. 41 - 41.33 [II] A certain light source sends out ...Ch. 41 - 41.34 [II] The insignia painted on the side of a...Ch. 41 - 41.35 [II] As a spacecraft moving at 0.92c travels...Ch. 41 - 41.36 [III] Find the speed and momentum of a...
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- According to special relativity, a particle of rest mass m0 accelerated in one dimension by a force F obeys the equation of motion dp/dt = F. Here p = m0v/(1 –v2/c2)1/2 is the relativistic momentum, which reduces to m0v for v2/c2 << 1. (a) For the case of constant F and initial conditions x(0) = 0 = v(0), find x(t) and v(t). (b) Sketch your result for v(t). (c) Suppose that F/m0 = 10 m/s2 ( ≈ g on Earth). How much time is required for the particle to reach half the speed of light and of 99% the speed of light?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_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 clock on a moving spacecraft runs 1 s slower per day relative to an identical clock on Earth. What is the relative speed of the spacecraft? (Hint: For v/c << 1, note that γ ≈ 1 + v2/2c2.)arrow_forwardWhat is the momentum of an electron travelling at 0.98c?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_forward
- 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_forwardIt 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_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