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Q. 7

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1081

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Short Answer

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?

(a) The graph is given below

(b) The time is

(c) Person and Observer measure shorter time

See the step by step solution

Step by Step Solution

Part(a) Step 1: Explanation

Event 1 In S' frame when friend flies from Los Angeles to New York think that

she is in rest and observer on earth moves.

Event 2 Observer on earth observes her friend moving in S frame.

Part(b) Step1: Simplify

Now Let l distance travelled by flight from Los Angeles to New York.

Time dilation in S frame (In earth of frame)

Time dilation in S' frame

So, we can conclude that moving frame measure shorter time

moving clocks run slow and measure time factor

So, Observer on earth measure proper time and proper length.

Part(c) Step 1: Reason

Person in flight or Observer in S' frame will measure shorter time.

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