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Q. 19

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1059

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Short Answer

You fly across the United States on an airliner at You return two days later at the same speed.

a. Have you aged more or less than your friends at home?

b. By how much?

Hint: Use the binomial approximation

Because my proper time is smaller than the time in the Earth frame, I have aged less.

In frame

In frame

See the step by step solution

Step by Step Solution

Part (a) Step 1: Given Information

We have given that,

Airliner takes of and attains .

Airliner returns to original position after days.

We have to assume you've aged more or less than your family and friends.

Part (a) Step 2: Simplify

Because my proper time is smaller than the time in the Earth frame, I have aged less.

Part (b) Step 1: Given Information

We have given that,

Airliner takes of and attains

Airliner returns to original position after days.

We need to figure out how much is the Earth's frame and the airliner's frame.

Part (b) Step 2: Simplify

The Earth's frame is .

The Airliner's frame is

In the frame:

In the frame

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