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Please be sure to show ALL equations used. Show your work and include units with

ID: 1424029 • Letter: P

Question

Please be sure to show ALL equations used.

Show your work and include units with your answers for full credit. A 170-g hockey puck has a velocity of 4.36 m s to the right at point A. After sliding over a rough surface for 1.50 m between points A and B. it encounters a spring of spring constant k=110 N/m that is compressed a distance x_c = 9.0 cm when the puck comes momentarily to rest at point C. What is die coefficient of kinetic friction between the puck and the rough surface? Remember to set up conservation of energy as a comparison between two locations, and solve SYMBOLICALLY before you plug in any numbers!

Explanation / Answer

Kinetic energy of puck at B = potential energy stored in spring at C

KE = (1/2)*k*x2 = (1/2)*110*(0.09)2 = 0.4455 J

initial kinetic energy = (1/2) * 0.170 * (4.36)2 = 1.616 J

Work done by friction force = change in kinetice energy

F*1.5 = 1.616 - 0.4455

F = 0.78 N

F = mg

0.78 = *0.170*9.8

= 0.468