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 0.400kg  that is traveling horizontally at 10.2m/s  . Olaf's mass is 67.4kg  .(Figure 1) <?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" />

If Olaf catches the ball, with what speed v f   do Olaf and the ball move afterward?

If the ball hits Olaf and bounces off his chest horizontally at 8.70m/s  in the opposite direction, what is his speed v f   after the collision

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steps

Explanation / Answer

By conservation of momentum

Pi =Pf

Mb*Vi =(Mo+Mb)Vf

Vf =(Mb/Mo+Mb)Vi

Vf =(0.4/0.4+67.4)*10.2

Vf =0.06 m/s or 6 cm/s

b)

By conservation of momentum

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

Po,f =Pb,i-Pb,f

mo*Vo,f =mb(Vb,i-Vb,f)

Vo,f =(mb/mo)(Vb,i-Vb,f)

Vo,f =(0.4/67.4)(10.2-(-8.7))

Vo,f =0.1122 m/s or 11.22 cm/s

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