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 0.600-kg ball that is traveling horizontally at 10.0 m/s. Your mass is 61.0 kg. If you catch the ball, with what speed do you and the ball move afterward? Express your answer with the appropriate units. If the ball hits you and bounces off your chest, so afterward it is roving horizontally at 8.0 m/s in the opposite direction, what is your speed after the collision? Express your answer with the appropriate units.

Explanation / Answer

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 0.600kg ball that is traveling horizontally at 10.0m/s . Your mass is 61.0kg .

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

If the ball hits you and bounces off your chest, so that afterwards it is moving horizontally at 8.00m/s in the opposite direction, what is your speed after the collision?

answer :

Mass of man M = 61 kg
mass of the ball m = 0.6 kg
Initial speed of the man U = 0
Initial spped of the ball u = 10 m/s
A)
After the ball was caught let the system (man+ball) moves at a speed v

According to the conservation of linear momentum
MU + mu = (M+m)v
0 + 0.6*10 = (61.6)v
v = 0.0974 m/s

B)
If the ball rebounds with a speed v = -8 m/s
Let v be the speed of the man

According to the conservation of linear momentum
MU + mu = MV + mv
0 + 0.6*10 = 61*V + 0.6*-8
V = 10.8/61

=0.177 m/s

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