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But what I'm telling you is that m1·v1 + m2·v2
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will be equal to m1·v1' + m2·v2'.
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In a collision, of course,
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one block exerts a force on the other block,
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and the other block exerts an opposite force on this block,
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and that's the reason why even though individually the momenta
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could be very different,
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finally the momenta will add up to the same total.
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Here's a simple example;
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you can show that if this mass and that mass are equal,
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and say this one is at rest, that one comes and hits this.
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You can show under certain conditions this one will come to rest