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 11.3 m/s . Olaf's mass is 70.7 kg

Part A

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

Part B

If the ball hits Olaf and bounces off his chest horizontally at 8.20 m/s in the opposite direction, what is his speed vf after the collision?

Explanation / Answer

step;1

Given that

mass m1=0.4 kg

initial velocity u1=11.3 m/s

mass m2=70.7 kg

initial velocity u2=0 m/s

step;2

now we fnd the velocity aof Olaf and ball move afterwards

the velocity of ball V1=(0.4-70.7)*11.3/(70.7+0.4)+2*70.7*0/(70.7+0.4)

=-11.2 m/s

velocity of the Olaf V2=(2*0.4*11.3)/(70.7+0.4)+0

=0.13 m/s

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

Part B

the velocity of ball after xollision V1=-8.2 m/s

now we find the speed of the Olaf after collision

speed V2=v1+u1-u2=-8.2+11.3-0=3.1 m/s

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