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Q36.6

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

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.

Part (a) :- Yes, the light flashes reach the rocket simultaneously.

Part (b) :- No, the light strike the left tree first.

See the step by step solution

Step by Step Solution

Part (a) Step 1: Given information

We have given,

A rocket is traveling from left to right. At the instant it is halfway between two trees, lightning simultaneously (in the rocket’s frame) hits both trees.

We have to find does the light fleshes reach the rocket pilot simultaneously.

 Part (a) Step 2 : Simplification.

Since the light will strike both trees at same time for the rocket as they are at the same distance from the rocket.

And we know at the speed of light will be same for all the inertia frame. then we can say that light flashes will reach the trees at the same time.

Part (b) Step 1 : Given information

We have given,

A student was sitting on the ground halfway between the trees as the rocket passed overhead.

We have to find that for the student, does the lightning strikes simultaneously or not.

Part (b) step 2 : Simplification.

Since rocket is moving from the left tree to toward right tree. then the light to reach both at same time at the rocket, it is required that the left light will travel earlier then the right one for the ground person.

Then, the light should strike the left tree before the right tree from student's frame of reference.

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