Chapter 28, Problem 16PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
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:

â€ƒâ€ƒLeâ‰ˆ4.30Â ly

â€ƒâ€ƒvâ‰ˆ0.99944c

â€ƒâ€ƒcâ‰ˆ3Ã—108Â msâˆ’1

Formula used:

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

â€ƒâ€ƒLeâ‰ˆvte

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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