Chapter 28, Problem 27PE

### 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

# Two planets are on a collision course, heading directly towards each other at 0.250c. A spaceship sent from one planet approaches the second at 0.750c as seen by the second planet. What is the velocity of the ship relative to the first planet?

To determine

The speed of the ship relative to the first planet.

Explanation

Given info:

• The planets heading towards each other with speed 0.250â€‰c .
• The spaceship sent by the first planet directly towards second planet.
• The speed of the spaceship approaching the second planet 0.750â€‰c .

Formula used:

Formula to find the velocity of the spaceship relative to the first planet.

â€ƒâ€ƒu'â€‰=â€‰uâˆ’v1âˆ’vuc2

Here, uâ€‰ is the velocity of the spaceship relative to the second planet, v velocity of the planets, u' is the velocity of the spaceship with respect the first ship and c is the speed of light.

Calculation:

Substituting the given values, we get,

â€ƒâ€ƒu'â€‰=â€‰0

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