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PIT_PIT [208]
3 years ago
5

An astronaut in space cannot use a scale or balance to weigh objects because there is no gravity. But she does have devices to m

easure distance and time accurately. She knows her own mass is 78.4 kg , but she is unsure of the mass of a large gas canister in the airless rocket. When this canister is approaching her at 3.40 m/s , she pushes against it, which slows it down to 1.30 m/s (but does not reverse it) and gives her a speed of 2.50 m/s. What is the mass of this canister?
Physics
1 answer:
Rainbow [258]3 years ago
3 0

Answer:

93.33 kg

Explanation:

We are given that

Mass of astronaut=m'=78.4 kg

Initial velocity of canister,u=3.4 m/s

Final velocity of canister,v=1.3 m/s

Initial velocity of astronaut=u'=0

Final velocity of astronaut,v'=2.5 m/s

We have to find the mass of canister.

According to law of conservation of momentum

mu+m'u'=mv+m'v'

Using the formula

m(3.4)+78.4\times 0=m(1.3)+78.4(2.5)

3.4m=1.3m+196

3.4m-1.3 m=196

2.1 m=196

m=\frac{196}{2.1}=93.33 kg

Mass of canister=93.33 kg

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