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 0.400 kg that is traveling horizontally at 10.3 m/s. Olafs mass is 67.9 kg .(Figure 1) If Olaf catches the ball, with what speed V_f do Olaf and the ball move afterward? Express your answer numerically in meters per second. If the ball hits Olaf and bounces off his chest horizontally at 7.90 m/s in the opposite direction, what is his speed V_f after the collision? Express your answer numerically in meters per second.

Explanation / Answer

a)

a)

By Conservation of momentum

Pf = Pi

(mo+mb)Vf = mbVb

=>Vf =  mbVb/(mo+mb) =0.4*10.3/(0.4+67.9)

Vf = 0.06032 m/s

b)

By Conservation of momentum

Po,f +Pb,f = Po,i +Pb,i

moVo,f+mbVb,f = mbVb,i

=>Vo,f = (mb/mo)(Vb,i-Vb,f) =(0.4/67.9)(10.3-(-7.9))

Vo,f =0.1072 m/s

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