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If you return to the same state of motion before you began gaining momentum, then momentum lost will be equal to momentum gained.

I mean really, if you start out not moving with a momentum of 0 and end not moving with a momentum of 0, then of course there the bloody same. If you start at 0 and never stop moving, then obviously your not losing momentum so the statement is false.

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Q: Is momentum lost equals to momentum gained?
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