Solving Momentum Problems

In A, it bounces right back to retrace its path; in B, it bounces diagonally (path shown in dotted line).The initial speed of the ball is the same in both cases and no energy is lost in either collision. (A) There is not enough information to determine which case has a greater change in momentum (B) The change in the ball’s momentum is zero for both cases (C) The change in the ball’s momentum is greater for case A than for B (D) The change in the ball’s momentum is the same in both cases (but not zero) (E) The change in the ball’s momentum is greater for case B than for A – Breaking down the problem statement and final answer: It says the correct answer is C, the change in the ball’s momentum is greater for case A than for case B.

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Right off the bat we notice that in case A the ball is bouncing directly back in the horizontal direction, whereas in case B it’s taking a ricochet off the wall. – How conservation of energy is used to determine the initial and final velocity: We know that energy is conserved, what does that mean?

If we remember, that means that the energy in equals the energy out. Because the mass stays the same, this implies that the initial velocity and final velocity of the ball in both cases are equal.

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