A 65.5kg skier is moving at 6.50m/s on a frictionless, horizontal snow-covered p

Question

A 65.5kg skier is moving at 6.50m/s on a frictionless, horizontal snow-covered plateau when she encounters a rough patch 4.00m long. The coefficient of kinetic friction between this patch and her skis is 0.310. After crossing the rough patch and returning to friction-free snow, she skis down an icy, frictionless hill 3.50m high.

Part A

How fast is the skier moving when she gets to the bottom of the hill?

v=_____m/s

Part B

How much internal energy was generated in crossing the rough patch?

E=______ J

Explanation / Answer

(B) Internal energy generated = us*mg*s

                                           = 0.310*65.5*9.8*4.00

                                           =795.956 J

Total energy at the end = 1/2 mu^2 - IE + mgh

                                      = 1/2 * 65.5*6.5^2 - 795.956 + 65.5*9.8*3.50

                                      = 2834.4 J

A)

kinetic energy is

                1/2 m*v^2 = 2511

                            v = 9.30 m/s

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