Imagine you are ice skating with your friend. Both of you are at rest, when you

Question

Imagine you are ice skating with your friend. Both of you are at rest, when you shove him/her away from you. You have a mass of 65 kg and he/she has a mass of 55kg. When you shove off, you move away with a velocity of 2.0 m/s. With what velocity does your friend move away from you?  

Imagine you are ice skating with your friend. Both of you are at rest, when you shove him/her away from you. You have a mass of 65 kg and he/she has a mass of 55kg. When you shove off, you move away with a velocity of 2.0 m/s. With what velocity does your friend move away from you?  

Explanation / Answer

let the velocity with which friend moved be v m/s in the opposite direction

by the conservation of momentum we have

initial momentum = final momentum

0 + 0 = 65*2 + 55(-v)

v = 2.36

the velocity with which friend moves away is 2.36 m/s

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