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A 100 g ball moves to the left at 3.0 m/s. It has a head-on, perfectly elastic collision with a 200 g ball that is

A 100 g ball moves to the left at 3.0 m/s. It has a head-on, perfectly elastic collision with a 200 g ball that is at rest, as shown below. (Positive x-direction is to the right, as usual.

a)What is the velocity of the center of mass?

b) p1.What is the initial velocity of ball 1 in the CM frame?

b) p2.What is the initial velocity of ball 2 in the CM frame?

c) p1.What is the final velocity of ball 1 in the CM frame?

c) p2.What is the final velocity of ball 2 in the CM frame?

d) p1.What is the final velocity of ball 1 in the lab frame?

d) p2.What is the final velocity of ball 2 in the lab frame?

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