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Chapter 36: Q. 31 (page 1060)
A laboratory experiment shoots an electron to the left at . What is the electron鈥檚 speed, as a fraction of c, relative to a proton moving to the right at ?
The electron's speed is .
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The star Alpha goes supernova. Ten years later and 100 ly away, as measured by astronomers in the galaxy, star Beta explodes.
a. Is it possible that the explosion of Alpha is in any way responsible for the explosion of Beta? Explain.
b. An alien spacecraft passing through the galaxy finds that the distance between the two explosions is 120 ly. According to the aliens, what is the time between the explosions?
Two rockets, and , approach the earth from opposite directions at speed of . The length of each rocket measured in its rest frame is . What is the length of rocket as measured by the crew of rocket ?
At what speed, as a fraction of , will a moving rod have a length that of an identical rod at rest?
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?
In the earth鈥檚 reference frame, a tree is at the origin and a pole is at km. Lightning strikes both the tree and the pole at . The lightning strikes are observed by a rocket traveling in the -direction at .
a. What are the spacetime coordinates for these two events in the rocket鈥檚 reference frame?
b. Are the events simultaneous in the rocket鈥檚 frame? If not, which occurs first?
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