You are standing on a sheet of ice that covers the football stadium parking lot

Question

You are standing on a sheet of ice that covers the football stadium parking lot in Buffalo; there is negligible friction between your feet and the ice. A friend throws you a 0.420kg ball that is traveling horizontally at 10.0m/s . Your mass is 64.5kg .

a) If you catch the ball, with what speed do you and the ball move afterwards?

b) If the ball hits you and bounces off your chest, so that afterwards it is moving horizontally at 8.05m/s in the opposite direction, what is your speed after the collision?

Explanation / Answer

Part 1)

By conservation of momentum

mv = (M+m)(v)

.42(10) = (64.5 + .42)(v)

v = .0647 m/s (That is 6.47 X 10-2 m/s)

Part 2)

mv = mv + Mv

(.42)(10) = (.42)(-8.05) + (64.5)(v)

v = .118 m/s

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