Olaf is standing on a sheet of ice that covers the football stadium parking lot

Question

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 11.5 m/s. Olaf's mass is 74.0 kg.


If Olaf catches the ball, with what speed v_f do Olaf and the ball move afterward?
Express your answer numerically in centimeters per second.
v_f =


{cm/s}


Part B
If the ball hits Olaf and bounces off his chest horizontally at 9.00 m/s in the opposite direction, what is his speed v_f after the collision?
Express your answer numerically in centimeters per second.
v_f = cm/s

Explanation / Answer

Accoridng to law of conservation of momentum, momentum before catch is equal to momentum after catch.       m v + 0 = MV + 0 Here m is the mass of the ball, v is its speed            M is the mass of women , V is final speed     Speed ofthe woman after she catches the ball is               V= m v / M                 = (0.4)(11.5) /(74)                 = 0.06212m/s^2                 = 6.212cm/s ---------------------------------------------------------------------------------------------------    the change in momentum of the ball is equal to the momentum gain by the woman       Change in momentum of the woman             = m ( Vf - Vi)             = (0.4)[9m/s - (-11.5m/s) ]             = 8.2kgm/s this the momentum gained by the woman MV the speed of the woman is      V= 8.2kgm/s / 74kg        = 0.1108m/s        = 11.08cm/s     

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