Question

proof the law of conservation of momentum

Answer 1

According to Newton's Third Law of motion
Every action has an equal and opposite reaction.
F12= - F21
m1(v1-u1)/t=m2(v2-u2)/t
or,. m1 v1-m2 u1= m1v1+m2v2
m1u1+m2u2=m1v1+m2u2
Pi=Pf
Initial momentum=Final momentum
Hence Proved.
Hope this will help u.
:-)

Answer 2

Hey there,

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Let there be masses m₁ and m₂ respectively.

Force on A due to B=m₁a₁=m₁(v₁-u₁)/t
Force on B due to A=m₂a₂=m₂(v₂-u₂)/t

m₁(v₁-u₁)=-m₂(v₂-u₂)                           [By cancelling t]
m₁v₁-m₁u₁=-m₂v₂+m₂u₂

Therefore m₁u₁+m₂u₂=m₁v₁+m₂v₂(Momentum in an isolated system remains conserved).

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