# The top figure shows two blocks approaching each

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4. The top figure shows two blocks approaching each other. The bottom figure shows the blocks after the collision. The collision 2 m m 3 v 3 v 2 m m v 5 v (a) is elastic 4 (b) is completely inelastic. (c) is partially inelastic (neither elastic nor completely inelastic). (d) cannot be determined to be elastic because there is insufficient data. (e) is impossible. First we check conservation of momentum: P i 2 m 3 v m 3 v 3 mv P f 2 m v m 5 v 3 mv P i P f Then we check conservation of kinetic energy: K i K f K i 1 2 2 m 3 v 2 1 2 m 3 v 2 27 2 mv 2 K f 1 2 2 m v 2 1 2 m 5 v 2 27 2 mv 2 K i K f Thus the collision is allowed and elastic. Choice A 4

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5. The top figure shows two blocks approaching each other. The bottom figure shows the blocks after the collision. The collision m 4 m 6 v 4 v m 4 m 8 v 3 v First we check conservation of momentum: P i m 6 v 4 m 4 v 10 mv P f m 8 v 4 m 3 v 4 mv P i P f Thus the collision is not allowed. Choice E 5
6. A 500 g-particle moves under the action of the force given by the potential in the figure below. We will refer to the direction of increasing x as the “right” and decreasing x as the “left.” If at t 0 the particle is crossing x 0 with velocity v x 4 . 0 m/s, which of the following is the best description of the motion for t 0? 1 2 x U J (a) The particle moves right, decelerating until its speed becomes constant, approximately 3.3 m/s. 4 (b) The particle moves right, decelerating until its speed becomes constant, approximately 2.3 m/s. (c) The particle moves right, decelerating until it momentarily stops, then moves left past it starting pint until it stops momentarily again, and starts moving right. The particle continues bouncing back and forth between the two points where it momentarily comes to a stop.

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