A skier starts from rest at the top of a frictionless incline of height 20.0 m,

Question

A skier starts from rest at the top of a frictionless incline of height 20.0 m, as shown in the figure. At the bottom of the incline, the skier encounters a horizontal surface where the coefficient of kinetic friction between skis and snow is 0.188. Neglect air resistance.

A skier starts from rest at the top of a frictionless incline of height 20.0 m, as shown in the figure. At the bottom of the incline, the skier encounters a horizontal surface where the coefficient of kinetic friction between skis and snow is 0.188. Neglect air resistance. (a) Find the skier's speed at the bottom. m/s (b) How far does the skier travel on the horizontal surface before coming to rest? m

Explanation / Answer

(a) using conservation of energy ... potential energy converted to kinetic energy implies mgh = 1/2 mv^2

hence v = sqrt(2gh)

given h = 20 m

g=9.8 m/s^2

therefore v = 19.798 m/s

(b) at the bottom of slope initial velocity u = 19.798 m/s

taking final velocity = 0 m/s

v^2 - u^2 = -2ad

a= deceleration =

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