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Chapter 36: Q. 54 (page 1061)
Two rockets approach each other. Each is traveling at 0.75c in the earth鈥檚 reference frame. What is the speed, as a fraction of c, of one rocket relative to the other?
speed of one rocket relative to the other is 0.96 c.
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At what speed, as a fraction of , is a particle鈥檚 total energy twice its rest energy?
Firecracker A is from you. Firecracker B is from you in the same direction. You see both explode at the same time. Define event 1 to be 鈥渇irecracker A explodes鈥� and event 2 to be 鈥渇irecracker B explodes.鈥� Does event 1 occur before, after, or at the same time as event 2? Explain.
A ball of mass m traveling at a speed of has a perfectly inelastic collision with an identical ball at rest. If Newtonian physics were correct for these speeds, momentum conservation would tell us that a ball of mass departs the collision with a speed of . Let鈥檚 do a relativistic collision analysis to determine the mass and speed of the ball after the collision.
a. What is, written as a fraction like a/b?
b. What is the initial total momentum? Give your answer as a fraction times .
c. What is the initial total energy? Give your answer as a fraction times. Don鈥檛 forget that there are two balls.
d. Because energy can be transformed into mass, and vice versa, you cannot assume that the final mass is. Instead, let the final state of the system be an unknown mass traveling at an unknown speed . You have two conservation laws. Find and .
Firecrackers A and B are apart. You are standing exactly halfway between them. Your lab partner is on the other side of firecracker A. You see two flashes of light, from the two explosions, at exactly the same instant of time. Define event 1 to be 鈥渇irecracker A explodes鈥� and event 2 to be 鈥渇irecracker B explodes.鈥� According to your lab partner, based on measurements he or she makes, does event 1 occur before, after, or at the same time as event 2? Explain
You are standing at and your assistant is standing at Lightning bolt strikes at and lightning bolt strikes at You see the flash from bolt at and the flash from bolt at According to your assistant, were the lightning strikes simultaneous? If not, which occurred first, and what was the time difference between the two?
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