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



Answer :

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
[tex]m1*v1=m2*v2 \\ \frac{m1v1}{v2}=m2 [/tex]
Now we can substitute our data
m2=[tex] \frac{80*10}{8}=100 [/tex] [kg] - its our result

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