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Chapter 36: Q. 17 (page 1059)

At what speed, as a fraction of c, would a round-trip astronaut 鈥渓ose鈥� 125 of the elapsed time shown on her watch?

Short Answer

Expert verified

At speed of 0.28c,a round-trip astronaut 鈥渓ose鈥�125 of the elapsed time shown on her watch.

Step by step solution

01

Given Information

We have given that the rate at which a round-trip astronaut loses 125of the time on her watch.

02

Simplify

We have: 鈭�t=纬鈭�t'.

Now, we use binomial approximation for 纬:

localid="1649531467250" 鈭�t鈭�t'鈮�v22c2鈭�t鈭�t'=v22c2v2=2c2鈭�t鈭�t'v=c2鈭�t鈭�t'v=c2125v=0.28c

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