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 0.400kg that is traveling horizontally at 10.7m/s . Olaf's mass is 71.9kg

Part A

If Olaf catches the ball, with what speed vf do Olaf and the ball move afterward?

Part B

If the ball hits Olaf and bounces off his chest horizontally at 8.10m/s in the opposite direction, what is his speed vf after the collision?

Explanation / Answer

a)
initial momentum = final momentum
(0.400 kg)(10. 7m/s) = (71.9 + 0.400 kg)(v_f)
v_f = +0.0592 m/s

b)
(0.400 kg)(10.7 m/s) = (71.9 kg)(v_f) + (0.400 kg)(-8.10 m/s)
v_f = +0.1046 m/s

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