Question

derivation of conservation of momentum​

Answer 1

Answer:

Derivation of Conservation of Momentum

Applying Newton's third law, these two impulsive forces are equal and opposite i.e. If the time of contact is t, the impulse of the force F21 is equal to the change in momentum of the first object. The impulse of force F12 is equal to the change in momentum of the second object.

Explanation:

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Answer 2

Answer:

Consider two colliding particles A and B whose masses are m1 and m2 with initial and final velocities as u1 and v1 of A and u2 and v2 of B. The time of contact between two particles is given as t.

A=m1(v1−u1) (change in momentum of particle A)

B=m2(v2−u2) (change in momentum of particle B)

FBA=−FAB (from third law of motion)

FBA=m2

a2=m2(v2−u2)

tFAB=m1

a1=m1(v1−u1)t 

m2(v2−u2)t=−m1(v1−u1)t m1u1+m2u2=m