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 11.5 m/s . Olaf's mass is 68.3 kg .(Figure 1)

Part A

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

Express your answer numerically in meters per second.

Part B

If the ball hits Olaf and bounces off his chest horizontally at 9.00 m/s in the opposite direction, what is his speed vf after the collision?

Express your answer numerically in meters per second.

Explanation / Answer

part A

using linear momentum conservation:

m1v1 = (m1+m2)vf

vf = m1v1/(m1+m2) =(0.4*11.5)/(0.4+68.3)

vf = 0.0669m/s

part B

using linear momentum conservation:

m1v1 = m1v1' + m2vf

here we will use v1' = -9m/s

(0.4*11.5) = -(0.4*9) + (68.3*vf)

vf = 0.12m/s

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.