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## Homework Statement

You have been hired to check the technical correctness of an upcoming made-for-TV murder mystery. The mystery takes place in a space shuttle. In one scene, the astronaut's safety line is sabotaged while she is on a space walk, so she is no longer connected to the space shuttle. She checks and finds that her thruster pack has also been damaged and no longer works. She is 200 meters from the shuttle and moving with it. The is, she is not moving with respect to the shuttle. There she is drifting in space with only 4 minutes of air remaining. To get back to the shuttle, she decides to unstrap her 10-kg tool kit and throw it away with all her strength, so that it has a speed of 8 m/s. In the script, she survives, but is this correct? Her mass, including the space suit, is 80 kg. (Yes she does survive)

## Homework Equations

p = mv

v = d/t

p = p'

## The Attempt at a Solution

My attempt:

p = p', initial momentum 0 with respect to space shuttle

0 = m2Vfinal + (mkit)(Vkit)

0 = (70)Vfinal + (10)(8)

Vfinal = -1.14 m/s

V = 1.14 m/s

d = 200m

t = d/t

= 175 s

Time she has = 4 min

= 240 s

Therefore, she does survive.

I'm pretty sure I did it wrong though. Because the negative velocity doesn't make sense. Both the kit and her move in the same direction. Any1 wana help?