please help with this last part of this question i triedeverything i can\'t figu

Question

please help with this last part of this question i triedeverything i can't figure it out please help Olaf is standing on a sheet of ice that covers the football stadium parking lot in Buffalo. New York; there is negligible friction between his feet and the ice. A friend throws Olaf a ball of mass 0.400 kg that is traveling horizontally at 10.8 m/s. Olafs mass is 69.3 kg. (Intro 1 figure') If Olaf catches the ball, with what speed ''f do Olaf and the ball move afterward? Express your answer numerically in centimeters per second. If the ball hits Olaf and bounces off his chest horizontally at 7.00 m/s in the opposite direction, what is his speed Vf after the collision? Express your answer numerically in centimeters per second.

Explanation / Answer

We must use law of conservation of linear momentum to solve thisquestion , Considering left direction to be positive . Initially , Ball is moving towards left will velocity = 10.8 m/s So initial momentum = mass * velocity = 0.400*10.8 = 4.32kgm/s (left) = +4.32 kgm/s Finally , Ball is moving towards right So momentum of ball = 0.400*7.00 (right ) = -2.8kgm/s Let Olaf's velocity be v (left), Then his momentum = mass* velocity = 69.3*v (left)=+69.3v kgm/s Final velocity = 69.3v - 2.8 From law of conservation of linear momentum , initial momentum = final momentum 4.32 = 69.3v -2.8 69.3v = 7.12 v = 10.27 cm/s

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