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 10.5 m/s. Olafs mass is 66.3 kg.(Figure 1) If Olaf catches the ball, with what speed v_f do Olaf and the ball move afterward? Express your answer numerically in meters per second. If the ball hits Olaf and bounces off his chest horizontally at 8.70 m/s in the opposite direction, what is his speed V_f after the collision? Express your answer numerically in meters per second.

Explanation / Answer

a)
initial momentum = final momentum
(0.400 kg)(10.5 m/s) = (66.3 + 0.400 kg)(v_f)
v_f = +0.0629 m/s

b)
(0.400 kg)(10.5 m/s) = (66.3 kg)(v_f) + (0.400 kg)(-8.70 m/s)
v_f = +0.115 m/s

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