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## Homework Statement

You have been hired to check the technical correctness of an

upcoming sci-fi thriller film. The movie takes place in the space

shuttle. In one scene, an astronaut's safety line is damaged

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 m from the shuttle and moving with it (i.e., she is not

moving with respect to the shuttle). 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 relative to her. In

the script, she survives, but is this correct? Her mass, including

her space suit, is 80 kg.

## Homework Equations

m1 * Δv1 = m2 * Δv2 (I think (law of conservation of momentum?))

Time = Distance / Velocity

## The Attempt at a Solution

So I did:

80 * x = 10 * 8 (Law of conservation of momentum?)

x= 1 m/s

Time = 200 / 1 = 200 seconds

So she would make it with 40 seconds remaining in air, but this seems way to easy and very very wrong.