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Chapter 36: Q. 16 (page 1059)
a. At what speed, as a fraction of must a rocket travel on a journey to and from a distant star so that the astronauts age years while the Mission Control workers on earth age years?
b. As measured by Mission Control, how far away is the distant star?
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A cosmic ray travels through the earth鈥檚 atmosphere in as measured by experimenters on the ground. How long does the journey take according to the cosmic ray?
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?
Event A occurs at space-time coordinates .
a. Event B occurs at space time coordinates . Could A possibly be the cause of B? Explain.
b. Event C occurs at space time coordinates . Could A possibly be the cause of C? Explain
A ball of mass m traveling at a speed of 0.80c 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 2m departs the collision with a speed of 0.40c. Let鈥檚 do a relativistic collision analysis to determine the mass and speed of the ball after the collision.
a. What is gp, written as a fraction like a/b?
b. What is the initial total momentum? Give your answer as a fraction times mc. c. What is the initial total energy? Give your answer as a fraction times mc2 . 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 2m. Instead, let the final state of the system be an unknown mass M traveling at the unknown speed uf. You have two conservation laws. Find M and uf.
Bianca is standing at .Firecracker at the origin, and firecracker, at explode simultaneously. The flash from firecracker reaches Bianca鈥檚 eye at .At what time does she see the flash from firecracker?
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