Question

A ball of mass M moving with velocity V collides with an identical ball at rest. After Collision the first ball comes to rest and the speed of other ball is... *

Answer 1

By using Conservation of linear momentum-

m1u1 + m2u2 = m1v1 + m2v2

MV + 0 = 0 + MV' )- As they are identical balls

m1=m2

Therefore, V' = V

Answer 2

The speed of the other ball is V.

A ball of mass M moving with velocity V collides with an identical ball at rest. After collision the first ball comes to rest.

We have to find the speed of other ball.

concepts :

• If there is no external force acting on the systems of objects, the linear momentum of system must be conserved.
• that means, initial linear momentum must be equal to the final linear momentum. This is known as conservation of linear momentum.

Here, a ball of mass M moving with velocity V collides with an identical ball at rest. It is obvious that there is no external force acting on these balls. so we have to apply conservation of linear momentum.

i.e., initial linear momentum = final linear momentum

Let the velocity of the other ball be x.

Here,

• Initial velocity of first ball = V
• Initial velocity of 2nd ball = 0
• Final velocity of first ball = 0

⇒ MV + M × 0 = M × 0 + M × x

⇒ x = V

Therefore the speed of the other ball is as same as that of initial speed of first ball, V.

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