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 11.6 m/s . Olaf's mass is 73.7 kg .

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 9.00 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,

mass of the ball , mb = 0.4 kg

velocity of ball , vb = 11.6 m/s

mass of Olaf , mo = 73.7 kg

A)

let their speed be vf

using conservation of momentum

mb*vb = (mb + mo ) * vf

0.4 * 11.6 = ( 0.4 + 73.7) * vf

vf = 0.06 m/s

B)

final speed of ball , vbf = - 9 m/s

let the speed of Olaf be vof

using conservation of momentum

mb * vb = mb * vbf + mo * vof

0.4 * 11.6 = - 0.4 * 9 + 73.7 * vof

vof = 0.11 m/s

the speed of Olaf is 0.11 m/s

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