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 0.415kg ball that is traveling horizontally at 10.5m/s . Your mass is 65.0kg .

Part A

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

v=_____cm/s

Part B

If the ball hits you and bounces off your chest, so that afterwards it is moving horizontally at 7.95m/s in the opposite direction, what is your speed after the collision?

v=______cm/s

Explanation / Answer

part A:

apply the law of conservation of linear momentum as

m1u1 + m2u2 = (m1+m2) V

so

V = 65 *0 + (0.415 * 10.5)/(65.415)

V = 0.066 m/s    or 6.66 cm/s

-----------------------

apply m1u1 + m2u2 = m1v1 + m2v2

here u1 = 0

u2 = 10.5 m/s

v2 = 7.95 m/s

v1 = ?

m1v1 = 0 + (0.415 * 10.5) +(0.415* 7.95)

v1 = 7.65/(65

v1 = 11.77 cm/s

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