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Chapter 36: Q. 32 (page 1060)
A proton is accelerated to 0.999c.
a. What is the proton’s momentum?
b. By what factor does the proton’s momentum exceed its Newtonian momentum?
The relativistic momentum is and the ratio of relativistic momentum and Newtonian momentum is 22.4.
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As the meter stick in FIGURE Q36.8 flies past you, you simultaneously measure the positions of both ends and determine that
a. To an experimenter in frame S′, the meter stick’s frame, did you make your two measurements simultaneously? If not, which end did you measure first? Explain.
b. Can experimenters in frame S′ give an explanation for why your measurement is less than 1 m.
FIGURE Q36.6 shows a rocket traveling from left to right. At the instant it is halfway between two trees, lightning simultaneously (in the rocket’s frame) hits both trees.
a. Do the light fleshes reach the rocket pilot simultaneously? If not, which reaches her first? Explain
b. A student was sitting on the ground halfway between the trees as the rocket passed overhead. According to the student, were the lightning strikes simultaneous? If not, which tree was hit first? Explain.
You are flying your personal rocket craft at from Star toward Star The distance between the stars, in the stars’ reference frame, is Both stars happen to explode simultaneously in your reference frame at the instant you are exactly halfway between them. Do you see the flashes simultaneously? If not, which do you see first, and what is the time difference between the two?
A rocket cruising past earth at shoots a bullet out the back door, opposite the rocket’s motion, at relative to the rocket. What is the bullet’s speed, as a fraction of , relative to the earth?
At what speed, as a fraction of does a moving clock tick at half the rate of an identical clock at rest?
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