A skier starts from rest at the top of a hill that is inclined at 11.0° with respect to the horizontal. The hillside is 220 m long, and the coefficient of friction between snow and skis is 0.0750. At the bottom of the hill, the snow is level and the coefficient of friction is unchanged. How far does the skier glide along the horizontal portion of the snow before coming to rest?
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- A skier starts from rest at the top of a hill that is inclined 10.5°with respect to the horizontal. The hillside is 2.00 x 102 m long,and the coefficient of friction between snow and skis is 0.075 0.At the bottom of the hill, the snow is level and the coefficientof friction is unchanged. How far does the skier glide along thehorizontal portion of the snow before coming to rest?At what initial speed should a box of mass m be thrown parallel to the surface of the inclined plane from the lower end of an inclined plane with friction making a 30 degree angle with the horizontal direction so that it can travel 3m on the inclined plane? (The kinetic coefficient of friction between the box and the surface of the inclined plane is mk = 0.02.)An extreme skier, starting from rest, coasts down a mountain that makes an angle of 35.3 ° with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.115. She coasts for a distance of 18.5 m before coming to the edge of a cliff. Without slowing down, she skis off the cliff and lands downhill at a point whose vertical distance is 4.32 m below the edge. How fast is she going just before she lands?
- A 7 kg block measures 9 cm by 15 cm by 27 cm. When it slides on a 15 cm by 27 cm face, it moves with constant speed when pulled horizontally by a force whose magnitude is 15 N. How big a horizontal force must be applied to pull it with constant speed if it slides on a 9 cm by 27 cm face?A 75-kg snowboarder has an initial velocity of 5.0 m/s at the top of a 28 degree incline. After sliding down the 110-m-long incline (on which the coefficient of kinetic friction is μk= 0.17), the snowboarder has attained a velocity v. The snowboarder then slides along a flat surface (on which μk= 0.14) and comes to rest after a distance x. Determine BOTH the snowboarder's acceleration on the incline AND his acceleration on the flat surface. Then, determine x.A skier starts from rest at the top of a frictionless incline of height 20 meters. At the bottom of the incline, the skier encounters a horizontal surface where the coefficient of kinetic friction Between skis and snow is 0.193. Neglect air resistance. Find the horizontal distance the skier travels before coming to rest if the incline also has a coefficient of kinetic friction equal to 0.193. Assume that the angle is 20 degrees.
- The engines of a tanker broke down and the wind pushes the ship with a constant speed of 1.5 m / s straight towards a reef. When the boat is 500 m from the reef, the wind stops and the engineer manages to start the engines. The rudder is stuck, so the only option is to try to accelerate backwards. The mass of the ship and its cargo is 3.6 x 107 kg and the engines produce a net horizontal force of 8 x 104 N. The hull can withstand impacts at a speed of 0.2 m / s or less. The retarding force that the water exerts on the hull of the ship can be neglected. a) The equation of motion that corresponds to the horizontal component is? b)The acceleration of the ship is equal to? c) If the reef does not exist, the vessel, before stopping, travels what distance?A body falls from rest from point A at a height of 15 m down the ramp shown in the figure. There is only friction in the horizontal section BC which has a length Δx = 4m, determine how fast it passes through point D located at a height of 5 m if the coefficient of kinetic friction between the body and the surface in the section BC is. uk = 0.6A man is skiing on a winter day, initially with a speed of 2 m/s then eventually slowing down. How much distance did he travel as he stops if the friction coefficient of the surface is 0.1? (Provide full solution of the problem).
- A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.855 m/s encounters a rough horizontal surface of length ℓ = 0.65 m. If the coefficient of kinetic friction between the crate and rough surface is 0.357 and he exerts a constant horizontal force of 277 N on the crate, find the magnitude and direction of the net force on the crate while it is on the rough surface.A block of mass m is initially at rest at the top of an inclined plane, which has a height of 4.2 m and makes an angle θ = 17° with respect to the horizontal. After sliding down the ramp, the brick is observed to be moving at v = 0.95 m/s at a distance d from the end of the inclined plane. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. 1. what is the speed of block, in meters per second, just after it leaves the inclined plane 2. find the distance, d, in metersUnder the influence of its drive force, a snowmobile is moving at a constant velocity along a horizontal patch of snow. When the drive force is shut off, the snowmobile coasts to a halt. The snowmobile and its rider have a mass of 125 kg. Under the influence of a drive force of 190 N, it is moving at a constant velocity whose magnitude is 6.27 m/s. The drive force is then shut off. Find (a) the distance in which the snowmobile coasts to a halt and (b) the time required to do so.