-/4 points serCP95AE.008. My Notes Ask Your Teacher + EXAMPLE 5.8 Hit the Ski Sl

Question

-/4 points serCP95AE.008. My Notes Ask Your Teacher + EXAMPLE 5.8 Hit the Ski Slopes GOAL Combine conservation of mechanical energy with the work-energy theorem involving friction ona horizontal surface h=20.0 m PROBLEM A skier starts from rest at the top of a frictionless incline of height 20.0 m, as in the figure. At the bottom of the incline, the skier The skier slides down the slope and onto a level surface, stopping after traveling a distance d from the bottom of the Hill. surface where the coefficient of kinetic friction between skis and snow is 0.210. (a) Find the skier's speed at the bottom. (b) How far does the skier travel on the horizontal surface before coming to rest? Neglect air resistance STRATEGY Going down the frictionless incline is physically no different than going down a frictionless slide and is handied the same way, using conservation of mechanical energy to find the speed Va at the bottom. On the flat, rough surface, use the work-energy theorem with wnc-wmc--kd, where is the magnitude of the force of friction and d is the distance traveled on the horizontal surface before coming to rest. SOLUTION (A) Find the skier's speed at the bottom.

Explanation / Answer

a) skier speed = sqrt(2*10*20) = 20m/s

b) let it goes to x

x*g*0.195 = 0.5*20^2

x = 102.56 m

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