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 10.1 m/s. Olaf's mass is 74.5 kg. Part A If Olaf catches the ball, with what speed vf do Olaf and the ball move afterward? Please answer in cm/s, the answer in cm/s is very important. Express your answer numerically in centimeters per second. Part B If the ball hits Olaf and bounces off his chest horizontally at 7.00 m/s in the opposite direction, what is his speed vf after the collision? Express your answer numerically in centimeters per second. Again, please answer in cm/s.

Explanation / Answer

Part A. This question involves conservation of linear momentum. --> pi=pf, aka sum of initial momentum equals sum of final momentum. mb=mass of ball, vbi=velocity of ball initially, mo=mass of Olaf.

So mbvbi=mbvf+movf=(mb+mo)vf --> solve for vf= mb*vb/[mb+mo],

**after you solve make sure to convert m/s to cm/s!!!

Part B.

Same concept but instead finally momentum is different.

mbvbi= -mbvbf+movof --> vof=[mbvbi+mbvbf]/mo

**After you solve, convert from m/s to cm/s!!!

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