Question

State the law of conservation of momentum and prove that momentum before collision is equal
to momentum after collision for two balls moving along a straight line in the same direction with
different initial velocities.
plz answer quick

Answer 1

Answer:

Law of conservation of momentum states that

For two or more bodies in an isolated system acting upon each other, their total momentum remains constant unless an external force is applied. Therefore, momentum can neither be created nor destroyed.

The law of conservation of momentum is an important consequence of Newton’s third law of motion.

Proof

Consider a body of mass m1 moving with velocity U1, striking against another body of mass m2 moving with velocity U2.

Let the two bodies remain in contact with each other for a small interval "delta t".

Let F12 be the average force exerted by mass m1 on m2, and let F21 be the force on m2 due to m1.

Let v1 and v2 be the velcoities of two bodies after collision.

Momentum of mass m1 before collision=m1u1

Momentum of mass m2 after collision=m2u2

Momentum of mass m1 after collision=m1v1

By using the definition of impulse, change in momentum of mass m1 is, (refer the image now)

hope it helps :)

Answer 2

The law of momentum conservation can be stated as follows. For a collision occurring between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.