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 0.400kg that is traveling horizontally at 11.0m/s . Olaf's mass is 72.1kg

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 8.20m/s in the opposite direction, what is his speed vfafter the collision?

Express your answer numerically in meters per second.

+ - Catching a Ball on Ice 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 11.0 m/s. Olaf's mass is 72.1kg (Figure 1) Part A If Olaf catches the ball, with what speed V 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 8.20m/s in the opposite direction, what is his speed V after the collision? Express your answer numerically in meters per second.

Explanation / Answer

a)
let m = 0.4 kg, vi = 11 m/s

M = 72.1 kg

Apply momentum conservation,

Initial momentum = final momentum

m*vi = (m+M)*vf

==> vf = m*vi/(m+M)

= 0.4*11/(0.4+72.1)

= 0.06 m/s

b) Again Apply momentum conservation

let v is the speed of the of the person after the collision

m*vi = m*vf + M*v

0.4*11 = 0.4*(-8.2) + 72.1*v

==> v = (0.4*11 + 0.4*8.2)/72.1

= 0.107 m/s <<<<<<<<-----------Answer

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