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Application of momentum conservation

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You are a 50-kg mass skater who skates on ice at 4.0 m/s to greet your 40-kg friend, who is standing still, with open arms. As you collide, while holding each other, with what speed to you both move off together?
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The solution provides an example how the law of momentum conservation is applied to solve the real life situation.

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The conservation of the total momentum demands that the total momentum ...

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