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2 years ago

8

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 76.4 kg, but she is unsure of the mass of a large gas canister in the airless rocket. When this canister is approaching her at 3.50 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 2.60 m/s. What is the mass of the canister?

1 answer:

Nana76 [90]2 years ago

8 0

Answer:90.3 kg

Explanation:

Given

Mass of astronaut $m=76.4 kg$

Initial velocity of canister $v_1=3.5 m/s$

Final velocity of canister $v_2=1.3 m/s$

Final speed of Astronaut $v_f=2.6 m/s$

let M be the mass of canister

As there is no external force therefore we can conserve momentum

$M\cdot v_1=mv_f+M\cdor v_2$

$M(3.5-1.3)=76.4\times 2.6$

$M=\frac{76.4\times 2.6}{2.2}$

$M=90.29\approx 90.3 kg$

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