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Physics 211, Quiz 10A

Question 1:

Two billiard balls have the same mass. The 2-ball is at rest, and the 8-ball moves horizontally towards it at 3 m/s.


                 8 --->       2
After the balls collide, which of the following results is impossible? Explain.

      Case A:                8        2 --->



                                
      Case B:                         2 -->
                                 8
                                  \
                                   \



                                       /
                                      /
                                     2
      Case C:                 
                                  8
                                   \
                                    \
  Answer:  The key is to ask if total momentum is conserved in
           each case.  The original total momentum is entirely
           directed to the right -- that means that the final
           total momentum must be completely directed to the right.

           In case A, final momentum is directed to the right.     Possible.

           In case B, some of the final momentum is directed up.   Impossible.

           In case C, the final momentum may still be directed to
                      the right, if the vertical momentum of the
                      8-ball cancels that of the 2-ball.           Possible.

Creative Commons License Copyright © Michael Richmond. This work is licensed under a Creative Commons License.