**Example 5.8 Hit the Ski Slopes****Goal:** Combine conservation of mechanical energy with the work-energy theorem involving friction on a horizontal surface.**Problem:** A skier starts from rest at the top of a frictionless incline of height 20.0 m, as in Figure 5.19. At the bottom of the incline, the skier encounters a horizontal surface where the coefficient of kinetic friction between skis and snow is 0.183.(a) Find the skier's speed at the bottom.(b) How far does the skier travel on the horizontal surface before coming to rest?**Strategy:** Going down the frictionless incline is physically no different than going down a water slide and is handled the same way, using conservation of mechanical energy to find the speed \( v_B \) at the bottom. On the flat, rough surface, use the work-energy theorem, Equation 5.12, with \( W_{nc} = W_{fric} = -f_kd \), where \( f_k \) is the magnitude of the force of friction and \( d \) is the distance traveled.**Figure 5.19:** The skier slides down the slope and onto a level surface, stopping after traveling a distance \( d \) from the bottom of the hill.- The diagram depicts a skier starting at point \( A \) on the snow-covered mountain. The incline has a height \( h = 20.0 \) m and an angle \( \theta = 20.0^\circ \).- The skier moves from the top (point \( A \)) to the bottom (point \( B \)) of the incline and then continues onto a level surface.- The skier comes to a stop at point \( C \), after traveling a distance \( d \) from the bottom of the hill. **Exercise 5.8**Find the horizontal distance the skier travels before coming to rest if the incline also has a coefficient of kinetic friction equal to 0.183.[Input Box] mHints: Getting Started | I'm Stuck

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Problem A skier starts from rest at the top of a frictionless incline of height 20.0 m, as in Figure 5.19. As the bottom of the incline, the skier encounters a horizontal surface where the coefficient of kinetic friction between skis and snow is 0.183. (a) Find the skier's speed at the bottom. (b) How far does the skier travel on the horizontal surface before coming to rest?

Problem A skier starts from rest at the top of a frictionless incline of height 20.0 m, as in Figure 5.19. As the bottom of the incline, the skier encounters a horizontal surface where the coefficient of kinetic friction between skis and snow is 0.183. (a) Find the skier's speed at the bottom. (b) How far does the skier travel on the horizontal surface before coming to rest?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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