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Chapter 36: Q. 73 (page 1062)
An electron moving to the right atcollides with a positron moving to the left at. The two particles annihilate and produce two gamma-ray photons. What is the wavelength of the photons?
The wavelength of the photons is.
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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.
In the earth’s 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’s reference frame?
b. Are the events simultaneous in the rocket’s frame? If not, which occurs first?
At what speed, as a fraction of c, is the kinetic energy of a particle twice its Newtonian value?
At what speed, as a fraction of , is a particle’s total energy twice its rest energy?
A rocket is fired from the earth to the moon at a speed of . Let two events be “rocket leaves earth” and “rocket hits moon.” a. In the earth’s reference frame, calculate ∆x, ∆t, and the space time interval s for these events.
b. In the rocket’s reference frame, calculate ∆x′, ∆t′, and the space time interval s′ for these events.
c. Repeat your calculations of part a if the rocket is replaced with a laser beam.
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