Question

Prove the law of of conservation of or lineas
momentuin.​

Answer 1

★ Answer:-

Formula used: p = mv, FAB=−FBA and F=dpdt.

Complete answer: Law of conservation of momentum states that unless an external force is applied, the two or more objects acting upon each other in an isolated system, the total momentum of the system remains constant.

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Answer 2

Answer:

Proof:

Consider collision between two balls. The momentum of these two balls before collision is given as:

P1i = m1u1

P2i = m2u2

The total momentum of the balls before the collision is given as:

Pi = P1i + P2i

Pi = m1u1 + m2u2

F12 is the force exerted by the m1 during the collision on m2.

F21 is the force exerted by the m2 during the collision on m1.

Therefore, F12 = F21

There is a change in the velocity of these balls after the collision which is given as:

P1f = m1v1

P2f = m2v2

The total momentum of the balls after the collision is given as:

Pf= P1f + P2f

Pf= m1v1 + m2v2

From Newton’s second law:

Force = Change in momentum / time interval

F12 = m2v2 – m2u2 / t

F21 = m1v1 – m1u1 / t

From Newton’s third law:

F12 = F21

Therefore, we get:

m1u1 + m2u2 = m1v1 + m2v2

Therefore hence proved