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 11.3m/s . Olaf's mass is 69.7kg .(Figure 1)

Part A

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

Express your answer numerically in meters per second.

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?

Express your answer numerically in meters per second.

Explanation / Answer

a) mv1 = (m+M)V

V = mv1/(m+M) = 0.4x11.3/70.1 = 0.064m/s

b) mv1 = mv2 +Mvf

vf = (mv1-mv2)/M = 0.4(11.3 - (-8.1))/69.7 = 0.11m/s

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