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 0.405 kg. ball that is traveling horizontally at 10.5 m/s . Your mass is 71.5 kg . 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 8.25 m/s in the opposite direction, what is your speed after the collision? PLEASE ANSWER BOTH IN cm/s.

Explanation / Answer

To solve this problem use conservation of linear momentum.

Momentuem1 = Mometuem2

(mass * velocity)init=(mass*velocity)final

where init is before the contact (catch) and final is after. Therefore we can write,

(massball*velocityball + massplayer*velocityplayer)init = (massball*velocityball + massplayer*velocityplayer)final

(0.405kg * 10.5m/s + 71.5kg * 0m/s) = (0.405kg * V + 71.5kg * V)

Now you can solve for V which will be in m/s

To convert to cm/s use the relationship that there are 100 cm/1m or 100cm/s in 1 m/s.

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