Please answer the final question. EXAMPLE 5.8Hit the Ski SlopesGOAL Combine conservationof mechanical energy with thework-energy theoreminvolving friction on aAhorizontal surface.h = 20.0 myPROBLEM A skier startsfrom rest at the top of africtionless incline of height20.0 m, as in the figure. At thebottom of the incline, the skier The skier slides down the slope and onto a level surface, stopping after traveling a distance d from theencounters a horizontalsurface where the coefficient of kinetic friction between skis and snow is 0.210. (a) Find the skier'sbottom of the hill.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 frictionlessslide and is handled the same way, using conservation of mechanical energy to find the speed ve at thebottom. On the flat, rough surface, use the work-energy theorem with Wp = Wtric = -f,d, where f, is thencmagnitude of the force of friction and d is the distance traveled on the horizontal surface before coming torest.SOLUTION(A) Find the skier's speed at the bottom.Write down the equation forVB = V2gh = V2(9.80 m/s²)(20.0 m) = 19.8 m/sconservation of energy, insert thevalues vA = 0 and yB = 0, solve for veand substitute values for g and ye asthe skier moves from the top, point O,to the bottom, point ®.(B) Find the distance traveled on the horizontal, rough surface.Apply the work-energy theorem as theskier moves from ® to ©.Wnet = - fid = AKE = mve? - mvg?Substitute ve = 0 and-HAmgd = --mve?fk = Hyn = Hmg.Solve for d.(19.8 m/s)²2(0.210)(9.8 m/s²)d == 95.2 mLEARN MOREREMARKS Substituting the symbolic expression Ve = v 2gh into the equation for the distance d showsthat d is linearly proportional to h: Doubling the height doubles the distance traveled.QUESTION Give two reasons why skiers typically assume a crouching position when going down aslope. (Select all that apply.)O Crouching lowers the skier's center of mass, making it easier to balance.In the crouching position there is less air resistance.O The acceleration of gravity g is increased by crouching.Crouching decreases the mass of the skier.Crouching decreases the skier's inertia.

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GOAL Combine conservation of mechanical energy with the work-energy theorem involving friction on a 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 encounters a horizontal 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.

GOAL Combine conservation of mechanical energy with the work-energy theorem involving friction on a 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 encounters a horizontal 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.

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter5: Energy

Section: Chapter Questions

Problem 7P: A sledge loaded with bricks has a total mass of 18.0 kg and it pulled at constant speed by a rope...

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