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 ban of mass 0.400 kg that is traveling horizontally at 11.1 m/a. Olaf's mass is 65 4 kg 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 baa hits Olaf and bounces off his chest horizontally at 7.00 m/s m the opposite direction, what is his speed v_f after the collision? Express your answer numerically in meters per second.

Explanation / Answer

Use conservation of momentum. The momentum before impact must equal the momentum after impact. Assuming the velocity towards olaf is positive, and away is negative, calculate the change in the balls momentum:

mv1 = mv2 + p

0.4 * 11.1 = 0.4 * -7.00 + p

4.44 = -2.8 + p

p = 7.24 Nm

Therefore Olafs velocity equals:

p = mv

7.24 = 65.4v

vf = 0.1107 m/s

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