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Push Off on Ice Skates

APPH12-BTZBRK

A mother and her small child are wearing ice skates and standing on frictionless ice when they push off of one another.

What quantity MUST have equal magnitudes for the mother and child immediately after they push off?

I. Kinetic Energy
II. Speed
III. Momentum

A

I only.

B

III only.

C

I and III only.

D

I, II, and III.