A ball of mass ' m' moves normal to a wall 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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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 = = - mv
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.
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p= m x v
p = momentum
m = mass
v = velocitiy
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