Answered: An astronaut with mass 84kg is at rest…

Name: T3 8.) An astronaut with mass 84kg is at rest in space, before firing
Uploaded: 2024-03-20T06:57:37.000Z
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Description: T3 8.) An astronaut with mass 84kg is at rest in space, before firing her water pack to move toward the shuttle. If the amount of water shot out is 2kg and it is fired at a speed of 10m/s, what will the speed of the astronaut be?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.61P

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T3 8.) An astronaut with mass 84kg is at rest in space, before firing her water pack to move toward the shuttle. If the amount of water shot out is 2kg and it is fired at a speed of 10m/s, what will the speed of the astronaut be?

Expert Solution

Step 1

Conservation Law of linear momentum :

$m_{1} u_{1} + m_{2} u_{2} = m_{1} v_{1} + m_{2} v_{2}$ ....1

GIVEN :

Mass of astronaut $m_{1} = 84 k g$

Mass of water $m_{2} = 2 k g$

Initial velocity for both $u_{1}, u_{2} = 0$

Final velocity = 10 m/s

Using equation 1 we find speed of astronaut

$m_{1} u_{1} + m_{2} u_{2} = m_{1} v_{1} + m_{2} v_{2}$

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