Chapter 28, Problem 26PE

### 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 two spaceships are heading directly towards each other at 0.800c, at what speed must a canister be shot from the first ship to approach the other at 0.999c as seen by the second ship?

To determine

The speed of the canister relative to the first ship.

Explanation

Given info:

• The spaceships moving towards each other with speed 0.800â€‰c .
• The first spaceship shoots the canister directly towards second ship.
• The speed of the canister approaching is 0.999â€‰c .

Formula used:

Formula to find the velocity of the canister relative to the first ship.

â€ƒâ€ƒu'â€‰=â€‰uâˆ’v1âˆ’vuc2

Here, uâ€‰ is the velocity of the canister relative to the second, v velocity of the spaceships, u' is the velocity of the canister 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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