# A ball of mass m moves normal to a well with a velocity u and rebounds with a velocity v . the change in momentum of the ball during the rebounding is

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by priyapretty

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by priyapretty

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See diagram enclosed.

Let us say the ball is moving in the direction of positive X axis.

Momentum of ball before colliding with the wall = mass * velocity =**p1** = m* u*

Momentum is in the direction of +ve x axis.

After rebounding let us say the ball moves back with a speed v. Since the ball moves in the negative x direction (after reflection) , we denote it as -v.

Its momentum after rebounding is* p2* = = - m*v *

Change in the momentum during the rebounding is

= final momentum - initial momentum =** p2 - p1** =

= (- m**v **) - (m **u**) = - m v - m u =** -m ( v+u)**

The change in momentum is a vector quantity and is in - ve x direction.

Let us say the ball is moving in the direction of positive X axis.

Momentum of ball before colliding with the wall = mass * velocity =

Momentum is in the direction of +ve x axis.

After rebounding let us say the ball moves back with a speed v. Since the ball moves in the negative x direction (after reflection) , we denote it as -v.

Its momentum after rebounding is

Change in the momentum during the rebounding is

= final momentum - initial momentum =

= (- m

The change in momentum is a vector quantity and is in - ve x direction.