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You have spent a long day skiing and are tired. You are standing at the top of a hill, looking at the lodge at the bottom of the hill. You are so tired that you want to simply start from rest and coast down the slope, without pushing with your poles or doing anything else to change your motion. You want to let gravity do all the work! You have a choice of two trails to reach the lodge. Both trails have the same coefficient of friction μk. In addition, both trails represent the same horizontal separation between the initial and final points. Trail A has a short, steep downslope and then a long, flat coast to the lodge. Trail B has a long, gentle downslope and then a short remaining flat coast to the lodge. Which trail will result in your arriving at the lodge with the highest final speed?
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Chapter 8 Solutions
Physics for Scientists and Engineers, Volume 2
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- An object released from rest slides down a frictionless ramp that makes an angle 0j of 60.0° with the horizontal. The object begins at a height Hj of 12.0 m above the base of the ramp. The bottom end of the ramp merges smoothly with a H second frictionless ramp that rises at angle 02 of 39.0°. H2 What distance d does the object slide along the second ramp before coming to a momentary stop? d = m When the object is on its way back down the second ramp, what is its speed vr at the moment that it is at a height H2 of 7.00 m above the base of the ramp? Uf = m/sarrow_forwardThe 70 kg A skier starts from a standing position from a height of 34.202 m, slides down from the inclined plane and then moves to the left in the horizontal plane. The kinetic coefficient of friction in the inclined plane is 0.25 and the friction force in the horizontal plane is 100 N. While the skier is moving in a horizontal plane, when d = 2 m, he collides with the 50 kg B skier who moves to the left at 10 m/s on the horizontal ground and they move together. Since there is no rebound after the impact, find the impulse given by skier A to skier B. (Neglect the weight of the skis.) A 34.202 m 20° B darrow_forwardAlaya designs a slide for sacks of rice to slide down, dropping from the first floor to ground level in a barn. The length of her slide is 8.5m along with an angle theta of 40 degrees from the horizontal. The coefficient of kinetic friction between the slide's surface is ?k=0.40 and the slide is not frictionless. At the top of slide, the sack slides down. The sack was initially at rest. After the sack leaves from the edge, it hits the ground z = 3.6m from the end of the slide a) Sketch the diagram b) determine the height from the top end point of the slide to the ground.arrow_forward
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- 5.0 kg particle can slide along a track with elevated ends and a flat central part, as shown in Figure. The flat part has length L = 12.0 m. The curved portions of the track are frictionless, but for the flat part the coefficient of kinetic friction is Hx = 0.20. The particle is released from rest at point A, which is a height h = 2 m above the flat part of the track. Where does the particle finally stop? X=?arrow_forwardYou are working for a shipping company. Your job is to stand at the bottom of an 8.0-m-long ramp that is inclined at an angle of 17 degrees above the horizontal. You grab packages off a conveyor belt and propel them up the ramp. The coefficient of kinetic friction between the packages and the ramp is uk =0.30. (a) What speed do you need to give a package at the bottom of the ramp so that it has zero speed at the top of the ramp?arrow_forwardA car of mass m = 1150 kg is traveling down a e = 11 degree incline. When the car's speed is vo = 11 m/s, a mechanical failure causes all four of its brakes to lock. The coefficient of kinetic friction between the tires and road is uz = 0.45. 0+ Otheexpertta.com Calculate the distance the car travels down the hill L in meters until it comes to a stop at the end. L =arrow_forward
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