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 0.395 kg ball that is traveling horizontally at 11.0 m/s . Your mass is 68.0 kg .

A. If you catch the ball, with what speed do you and the ball move afterwards?

Part B If the ball hits you and bounces off your chest, so that afterwards it is moving horizontally at 7.80 m/s in the opposite direction, what is your speed after the collision?

Explanation / Answer

m = mass of the ball = 0.395 kg

v = speed of the ball before catching = 11 m/s

M = our mass = 68 kg

V = common speed of ball and i after catching

Using conservation of momentum

mv = (M + m) V

0.395 x 11 = (0.395 + 68) V

V = 0.064 m/s

Part B :

vf = final speed of the ball = - 7.80 m/s

Vf = my speed

Using conservation of momentum

mv = MVf + mvf

0.395 x 11 = 68Vf + (0.395)(-7.80)

Vf = 0.11 m/s

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