Question

7. a) Prove the principle of conservation of momentum for two bodies moving
along the same line and colliding.
​

Answer 1

Answer:

conversation of linear momentum formula

Explanation:

the principle of conversation of momentum states that if two objects collide then the total momentum before and after the collision will be the same if there is no external force acting on the colliding objects.

Answer 2

Explanation:

let the velocity of the body 1 be u1 and body 2 be u2

let the velocity of body 1 after collision be v1 and body 2 be v2

change in momentum for body 1 (F12)= m1v1 - m1u1

change in momentum for body 2 (F21)= m2v2 - m2u2

F12 = -F21

m1v1 - m1u1 = -(m2v2 - m2u2)

m1v1 - m1u1 = m2u2 - m2v2

m1v1 + m2v2 = m1u1 + m2u2

Therefore the law of conservation is proved