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T3 8.2) 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

The conservation of momentum gives,

$0 = m_{a s t} v_{a s t} + M_{w} v_{w}$

that is,

$m_{a s t} v_{a s t} = - M_{w} v_{w} v_{a s t} = \frac{- M_{w} v_{w}}{m_{a s t}}$

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