Question

Prove that momentum before collision is equal to momentum after collision?​

Answer 1

Answer:

in collision in explosion the total momentum remains constant provided that there is no external force acts

Answer 2

Answer:

F12=m1(v1-u1)/dt (∵F=dp/dt)(v=final velocity, u=initial velocity)

F21=m2(v2-u2)/dt

According to Newton,

       F12=-F21 (∵For every action, there is an equal and opposite reaction)

        m1(v1-u1)/dt=-m2(v2-u2)/dt

        m1v1-m1u1=-m2v2+m2u2

        m1v1+m2v2=m2u2+m1u1

    ∴   m1u1+m2u2=m1v1+m2v2

     ∴ Total momentum before collision=Total momentum after collision

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