A football of mass 0.5 kg is kicked by a player with a velocity of 5 m/s before reaching to another person of his team.He returns it by kicking, along its original path with velocity of 6 m/s.Calculate the magnitude of change in linear momentum of the football due to second kick.

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Solution

$I n i t i a l m o m e n t u m o f t h e b a l l a f t e r k i c k i n g f o r t h e f i r s t t i m e = m u = 0.5 \times 5 = 2.5 K g m s^{- 1} . F i n a l m o m e n t u m o f t h e b a l l a f t e r k i c k i n g f o r t h e s e c o n d t i m e = 0.5 \times 6 = - 3 K g m s^{- 1} . T h e r e f o r e c h a n g e i n m o m e n t u m = - 3 - 2.5 = - 5.5 k g m s^{- 1} .$

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A football of mass 0.5 kg is kicked by a player with a velocity of 5 m/s before reaching to another person of his team.He returns it by kicking, along its original path with velocity of 6 m/s.Calculate the magnitude of change in linear momentum of the football due to second kick.

Initial momentum of the ball after kicking for the first time = mu=0.5×5 =2.5 Kg ms-1. Final momentum of the ball after kicking for the second time = 0.5×6=-3Kg ms-1.Therefore change in momentum= -3 - 2.5=- 5.5 kg ms-1.