   Chapter 28, Problem 16PE

Chapter
Section
Textbook Problem

(a) How long does it take the astronaut in Example 28.2 to travel 4.30 ly at 0.99944c (as measured by the Earth-bound observer)? (b) How long does it take according to the astronaut? (c) Verify that these two times are related through time dilation with γ = 30.00 as given.

To determine

(a)

The long does it take the astronaut in Example 28.2 to travel 4.30 ly at0.99944c.

Explanation

Given info:

Le4.30 ly

v0.99944c

c3×108 ms1

Formula used:

For time taken by the earth bound observer calculation, the relation between time and velocity is

Levte

To determine

(b)

The long does it take according to the astronaut.

To determine

(c)

These two times are related through time dilation withγ=30.

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