Question

state law of conservationof momentum and derive the same.

Answer 1

find important lines and write it..

Answer 2

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✴️ LAW OF CONSERVATION OF MOMENTUM ✴️
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✔️law of conservation of momentum states that the sum of momentum of two objects before collision is equal to the sum of momentum after collision provided when there is no external unbalanced force acting on them.

✔️ momentum of object A before collision = m1u1

momentum of object B before collision = m2u2

total momentum of object A and B before collision = m1u1+m2u2

momentum of object A after collision = m1v1

momentum of object B after collision = m2v2

total momentum of object A and B after collision = m1v1+m2v2

FAB = m1v1 - m1u1 / t .................(i)

FBA = m2v2 - m2u2 / t ............(ii)

now, according to third law of motion

FAB = – FBA

=> m1v1 - m1u1 / t = – (m2v2 - m2u2 / t)

=> m1v1 - m1u1 = –m2v2 + m2u2

=> m1v1 + m2v2 = m1u1 + m2u2

=> m1u1 + m2u2 = m1v1 + m2v2

i.e. total Momentum before collision = total Momentum after collision. (PROVED)
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