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3 years ago

13

Pretend you (80 kg) are making repairs on the outside of the International Space Station. You are floating 20 meters away from t

he space station when your safety rope comes loose. You throw your 10 kg tool-bag away from the space station in order to return to the station. If you are able to throw the bag at 5 m/s, how long does it take you to reach the station safely?

1 answer:

djyliett [7]3 years ago

7 0

Answer:

32 seconds

Explanation:

m1 = 80 kg

m2 = 10 kg

v2 = 5m/s

According to the property of conservation of momentum, assuming that both you and the bag are stationary before the safety rope comes lose:

$m_{1} v_{1} =m_{2} v_{2} \\80v_{1} =10*5 \\v_{1} = 0.625\ m/s$

Since the space station is 20 meters away, the time taken to reach it is given by:

$t = \frac{20}{0.625}\\t=32\ s$

It takes you 32 seconds to reach the station.

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