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DISCUSSION and HINTS

This is a standard problem for the central impact of two bodies.

Recall the following four-step plan outline in the lecture book and discussed in lecture:

Step 1: FBDs
Draw three free body diagrams (FBDs): one of A alonw, one of B alone and one of A+B. Identify the n- and t-directions on your FBDs.

Step 2: Kinetics (linear impulse/momentum)

• In which directions, if any, is linear momentum conserved for A alone? For those direction(s), write down the appropriate momentum conservation equation.
• In which directions, if any, is linear momentum conserved for B alone? For those direction(s), write down the appropriate momentum conservation equation.
• In which directions, if any, is linear momentum conserved for A+B? For those direction(s), write down the appropriate momentum conservation equation.
• Recall that you also have the coefficient of restitution (COR) equation at your disposal. Keep in mind that the COR equation is valid for only the n-components of velocity.

Step 3: Kinematics
None needed here.

Step 4: Solve
From your equations solve for the n- and t-components of velocity of A and B.