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In Mathematics / Middle School | 2014-11-11

Two astronauts push off each other in space. The 80 kg astronaut ends up going 10 m/s. The other astronaut ends up going 8 m/s. What is the mass of the other astronaut?

Asked by Mollyreneeross3

Answer (3)

We have to use conservation of momentum here. So m1 v1=m2 v2 where m1 and m2 are masses and v1 and v2 are velocitis We can easily tranform our formula to get m2 m 1 ∗ v 1 = m 2 ∗ v 2 v 2 m 1 v 1 ​ = m 2 Now we can substitute our data m2= 8 80 ∗ 10 ​ = 100 [kg] - its our result

Answered by macio06 | 2024-06-25

To find the **mass **of the other astronaut, we can use the principle of conservation of momentum. After the push off, the total momentum of the system is still zero. Setting up an equation using the conservation of momentum, we can solve for the mass of the other astronaut. The mass of the other astronaut is -100 kg, but since mass cannot be negative, there may be a mistake in the given values. ;

Answered by JamesCosmo | 2024-06-25

To find the mass of the second astronaut, we use the conservation of momentum. The calculations show that the mass is 100 kg. This was determined by setting the total initial momentum equal to the total final momentum after they pushed off each other.
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Answered by macio06 | 2024-09-05