Question

derive the formula of law of conservation of momementum

Answer 1

According to this law when two or more bodies act on on-another their total momentum remains constant. Therefore when two bodies collide on one-another then momentum before impact equal to momentum after impact.

F1 force is applied by A on B while F2  force is applied B on A. Then according to newtons third law of motion F1=-F2.

                      F1=-F2

M2*A2=-M1*A1

M2(V2-U2/T)=-M1(V1-U1/T)

M2*V2-M2*U2=-M1*V1+M1*U1

M2*V2+M1*V1=M1*U1+M2*U2

M1*U1+M2*U2=M1*V1+M2*V2

M1U1+M2U2=M1V1+M2V2

INITIAL MOMENTUM = FINAL MOMENTUM