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## Homework Statement

An astronaut of mass 74 kg pushes off a satellite of mass 420 kg, exerting a force of 120 N for the 0.82 s they are in contact.

## Homework Equations

What is the speed of the astronaut after they have separated?

What is the speed of the satellite after they have separated?

## The Attempt at a Solution

The astronaut's weight is -726 N. If he were to push with 120 N, the combined forces would equal -734.8 N. Therefore, from F=ma, acceleration would be -9.93 m/s/s and veloctiy (-9.93=v/.82) would equal -8.14 m/s. However, that is not the correct answer. I have a feeling something in my initial set up is wrong. Any ideas?