law of conservation of momentum
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One of the most powerful laws in physics is the law of momentum conservation. ... For a collision occurring between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.
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Explanation:
change of momentum of A before collision =m1u1
change of momentum of A after collision =m1v1
change of momentum of B before collision =m2u2
change of momentum of B after collision =m2v2
rate of change of momentum of A =m1(v1-u1)/t=f1. eq.1
rate of change of momentum of B =m2(v2-u2)/t=f2. eq, 2
f1=-f2
m1(v1-u1)/t=m2(v2-u2)/t
m1v1-m1u1=m2v2-m2u2
m1v1+m2v2=m1u1+m2u2
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