Chapter 28, Problem 22PE

### 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

# If a spaceship is approaching the Earth at 0.100c and a message capsule is sent toward it at 0.100c relative to the Earth, what is the speed of the capsule relative to the ship?

To determine

The speed of the capsule relative to the ship.

Explanation

Given info:

• The spaceship is approaching towards the Earth with speed 0.100â€‰c .
• The message capsule is sent towards ship.
• The speed of the message capsule is 0.100â€‰c .

Formula used:

Formula to find the velocity of the capsule relative to the ship is,

â€ƒâ€ƒuâ€‰=â€‰v+u'1+vu'c2

Here, uâ€‰ is the velocity of the capsule relative to the Earth, v velocity of the spaceship, u' is the velocity of the capsule relative to ship and c is the speed of light.

Calculation:

Substituting the given values, we get,

â€ƒâ€ƒuâ€‰=â€‰0

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