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Physics / Physics for Scientists and Engineers with Modern Physics 9 / Chapter 34 / Problem 79

Physics for Scientists and Engineers with Modern Physics | 9th Edition | ISBN: 9781133954057 | Authors: Raymond A. Serway John W. Jewett

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Review. An astronaut, stranded in space 10.0 m from her

Chapter 34, Problem 79

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QUESTION:

Review. An astronaut, stranded in space 10.0 m from her spacecraft and at rest relative to it, has a mass (including equipment) of 110 kg. Because she has a 100-W flashlight that forms a directed beam, she considers using the beam as a photon rocket to propel herself continuously toward the spacecraft. (a) Calculate the time interval required for her to reach the spacecraft by this method. (b) What If? Suppose she throws the 3.00-kg flashlight in the direction away from the spacecraft instead. After being thrown, the flashlight moves at 12.0 m/s relative to the recoiling astronaut. After what time interval will the astronaut reach the spacecraft?

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QUESTION:

Review. An astronaut, stranded in space 10.0 m from her spacecraft and at rest relative to it, has a mass (including equipment) of 110 kg. Because she has a 100-W flashlight that forms a directed beam, she considers using the beam as a photon rocket to propel herself continuously toward the spacecraft. (a) Calculate the time interval required for her to reach the spacecraft by this method. (b) What If? Suppose she throws the 3.00-kg flashlight in the direction away from the spacecraft instead. After being thrown, the flashlight moves at 12.0 m/s relative to the recoiling astronaut. After what time interval will the astronaut reach the spacecraft?

ANSWER:

Step 1 of 3

(a)

Assuming that she has used her flashlight at the very beginning.

The equation of the power of the flashlight is expressed as:

Here, is the power of the flashlight, is the energy consumed by the flashlight and is the required time interval.

The equation of the energy consumed by the flashlight is expressed as:

Here, is the momentum and is the velocity of light.

For in the equation (1).

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