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Laws Of Motion

Question
CBSEENPH11016605

A ball of mass 0.125kg moving with speed 4m/s collides the vertical wall and rebounds with same speed. What is the impulse imparted to the ball?

Solution

Mass of the ball, m = 0.125 kg
Velocity of the ball, v = 4 m/s
Initial momentum of ball is, 
straight p subscript 1 space equals m v space equals space 0.125 cross times 4 space equals space 0.5 space Ns 
After collision, the ball rebounds with the same speed. That is it is travelling in an opposite direction. 
Momentum of ball after collision is,
space straight p subscript 2 space equals space m left parenthesis negative v right parenthesis space equals 0.125 cross times left parenthesis negative 4 right parenthesis space equals negative 0.5 space Ns 
Therefore impulse of ball is 
increment straight p space equals space straight p subscript 2 minus straight p subscript 1 space equals space minus 1 space Ns