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 12.0 m/s . Olaf's mass is 70.6 kg .

If Olaf catches the ball, with what speed vf 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 7.50 m/s in the opposite direction, what is his speed vf after the collision? Express your answer numerically in meters per second.

Explanation / Answer

Here ,

in the first case , when Olaf catches the ball

let the speed of the Olaf is v

Using conservation of momentum

0.40 * 12 = (0.4 + 70.6) * v

v = 0.067 m/s

the speed vf of Olaf and the ball move afterwards is 0.067 m/s
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Now, in the second case when the ball bounces off

Using conservation of momentum

0.40 * (7.5 - (-12)) = (70.6) * v

v = 0.11 m/s

the speed vf of Olaf move afterwards is 0.11 m/s

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