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Question

# Two masses m1 and m2 collide with each other. Before the collision, the velocities are u1 and u2 respectively. After the collision, the velocities are v1 and v2 respectively. The total final momentum after collision is given by:

A
m1v2+m2v1
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B
m1u2+m2u1
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C
m1u1+m2u2
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D
m1u1+m2v2
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Solution

## The correct option is C m1u1+m2u2The initial momentum of body of mass m1 = m1u1 The initial momentum of body of mass m2 = m2u2 Total initial momentum before collision = m1u1+m2u2 According to the law of conservation of momentum, the total momentum of a system is always conserved, i.e. the initial momentum is equal to the final momentum. So we can say the total final momentum = m1v1+m2v2= the total initial momentum = m1u1+m2u2

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