3. A skateboarder slides down a frictionless ramp inclined at an angle of 30° to the horizontal. He then slides across a frictionless horizontal floor and begins to slide up a second incline at an angle of 25° to the horizontal. The skateboarder starts at a distance of 10 m from the bottom of the first incline. How far up the second incline will he go if the coefficient of kinetic friction on the second incline is 0.10?
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- 7. An 8.00 kg block is released from rest and slides 1.60 m down a 40° slope. Its speed at that point is 4.00 m/s. Find the magnitude of the frictional force on the block. 'i= 0 m/s V2= 4 m/s 1.6 m 40°A piece of ice (m = 1 Kg) slides down the slope of a roof inclined at 50.0°. It starts from rest and slides 8.0 m along the roof, sliding off the edge at a height of 4.0 m above the level ground. The coefficient of kinetic friction is 0.14. V¡ = 0.0 m/s m = 500.0 g 8,0 m Hx = 0.14 30° 4.0 m (a) Draw a free-body diagram of the ice as it is sliding along the roof. (b) Calculate the acceleration of the object. (c)With what speed does it leave the roof?1. A 6.7 kg object initially starts from rest at the top of a ramp. The length of the ramp is 5.5 m and forms an angle of 23° above the horizontal. When the object reaches a height of 1.5 m, it has a speed of 3.0 m/s. Ramp -5.5 m m = 6.7 kg 1.5 m 23° What is the force of friction?
- 5. After given a push, a 1.0-kg box slides down a slope that is inclined by 30° relative to the horizontal. There is a spring with a spring constant of 1000 N/m attached to the bottom of the slope, as shown. The surface of the slope is rough and has a coefficient of kinetic friction of 0.15. After being pushed, the box has an initial velocity to, and it then slides 1.2 m down the slope before hitting the spring, where it compresses the spring by 25 cm. Find the work done on the box by gravity, friction, and the spring. Also, find the initial speed of the box. 12 m 3060.A 60.0-kg skier with an initial speed of 12.0 m/s coasts up a 2.50-m high rise as shown. Find her final speed at the top, given that the coefficient of friction between her skis and the snow is 0.80. K₁ 35° V₁ = ? 2.5 mA box with a mass of 7.24 kg is held at the top of frictionless inclined plane of length L = 10.9 m and an inclination angle 0 = 26.9 degrees above the horizontal. The box is released from rest and stops at a distanced = 22.62 m from the bottom of the inclined plane along the rough horizontal surface. What is the coefficient of kinetic friction between the box and the rough horizontal surface?
- A car traveling at 22 m/s runs out of gas while traveling up a 200 slope. How far up the hill will it coast before starting to roll back down? Assume that car rolls without friction.Current Attempt in Progress The figure shows a cold package of hot dogs sliding rightward across a frictionless floor through a distance d = 22.0 cm while three forces act on the package. Two of them are horizontal and have the magnitudes F₁ = 8.0 N and F₂ = 2.0 N; the third is angled down by = 60.0° and has the magnitude F3 = 7.0 N. (a) For the 22.0 cm displacement, what is the net work done on the package by the three applied forces, the gravitational force on the package, and the normal force on the package? (b) If the package has a mass of 4.0 kg and an initial kinetic energy of 0, what is its speed (in m/s) at the end of the displacement? (a) Number i (b) Number Units Units Hot Dogs Ve F F dA 13.0kg stone slides down an icy, essentially frictionless, hill that is shown in the figure. At the top of the hill, the stone is moving at 1.75m/s down the hill. While the hill is frictionless, the stone experiences friction along the level, rough ground (beyond the base of the hill) all the way to a wall. The coefficients of static and kinetic friction are 0.800 and 0.300 respectively. The stone slides along the ground for 9.15m before making contact with a long spring, which has a spring constant of 25.0N/m. (“Long” in this case means that the spring is sufficiently long to stop the stone before it hits the wall.) Will the stone move again after it has been stopped by the spring?
- A 4.25 kg block is projected at 5.40 m/s up a plane that is inclined at 30.0° with the horizontal. The block slides some distance up the incline, stops turns around and slides back down to the bottom. When it reaches the bottom of the incline again, it is traveling with a speed of 3.80 m/s. If the coefficient of kinetic friction between the block and the plane is 0.500, how far up the incline did the block slide?6. Two packages that start sliding down a 20° ramp from rest a distance d = 4.30 m. For package A: Ma = 5.00 kg and ukA = 0.30. %3D For package B: mB = 7.00 kg and ukB = 0.20. Find the speed of both packages when they reach the bottom. 20°A block of mass m-0.5 kg starts to slide from rest at the top A of a curved track at a height h=4 m. There is no friction between the block and the track between points A and B. Then the block slides along the horizontal surface a distance d before coming to rest at C. The coefficient of kinetic friction on the horizontal surface between points B and C is u = 0.3 (g = 10 m/s2) 4.0 m C %3D 1- Calculate the total energy of the block at the point A 2- Determine the speed of the block at point B 3- Find the distance d between the points B and C.