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**[SOLVED] 200kg Astronaut, 2.0 m/s, 100.0 N rocket ?**

A 200.0 kg astronaut and equipment move with a velocity of 2.00 m/s toward an orbiting spacecraft . How long will the astronaut need to fire a 100.0 N rocket backpack to stop the motion relative to the spacecraft ? Give your answer in s.

## Homework Equations

F=ma

W=mg

m=w/g

a=F/m

## The Attempt at a Solution

I know I am missing something so simple. I have spent too long trying to solve this problem and have given up.

F=(200kg)(2 m/s)=400 kg*m/s=

F=400N/s

I don't know what to do with the 100N for the rocket pack, I'm getting lost in all the different conversions.

Please Help

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