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 flashes 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 rocket frame of reference, the light flashes reach the rocket pilot at same instant of time. Hence
pilot sitting inside the rocket will receives the flashes that are coming from light simultaneously the expanding wavefront both travel at speed of light C , so reach the rocket at same time in rocket's frame. Hence light flashes reaches the rocket pilot simultaneously
You will observe that the light first strikes the left tree. after the flash occurs, the rocket moves
towards the right. The flash on the left occurs , then the rocket is in the middle, then the flash on the right occurs ( in your reference frame). Therefore, the light first hits the left tree in the your frame of reference.
Your friend flies from Los Angeles to New York. She carries an accurate stopwatch with her to measure the flight time. You and your assistants on the ground also measure the flight time.
a. Identify the two events associated with this measurement.
b. Who, if anyone, measures the proper time?
c. Who, if anyone, measures the shorter flight time?
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