kateboarder with mass ms = 46 kg is standing at the top of a ram
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A skateboarder with mass ms = 46 kg is standing at the top of a ramp which is hy = 3.3 m above the ground. The skateboarder then jumps on his skateboard and descends down the ramp. His speed at the bottom of the ramp is vf = 6.6 m/s.
a)Write an expression for the work, Wf, done by the friction force between the ramp and the skateboarder in terms of the variables given in the problem statement.
b)The ramp makes an angle θ with the ground, where θ = 30°. Write an expression for the magnitude of the friction force, fr, between the ramp and the skateboarder.
c)When the skateboarder reaches the bottom of the ramp, he continues moving with the speed vf onto a flat surface covered with grass. The friction between the grass and the skateboarder brings him to a complete stop after 5.00 m. Calculate the magnitude of the friction force, Fgrass in newtons, between the skateboarder and the grass.
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- A block of mass ?=0.350kg is released from rest, from a curved ramp of height h= 42.0 cm (point A in the figure). The block slides down frictionless to the bottom of the ramp to point B. a) What is work done by gravity when the block moves from A to B? b) What is the speed of the block at the bottom of the ramps (point B in the figure)? c) The box continuesto slide frictionless and compress a spring a distance Δ?=8.20cm until it stops at point C. What is the spring constant k of the spring? d)What is the elastic potential energy stored in the spring when the block is at point C?A child of mass m = 16 kg slides down a slide of height h = 2.7 m without friction. Let gravitational potential energy be zero at ground level. a)Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g. b)Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop). c)What is the child's final speed, vf in m/s?The overworked Amazon delivery person is driving up a steep hill with an incline of 26° when a box they forgot to secure starts sliding toward the back of the truck. The 3.5 kg box starts from rest near the drivers seat and slides 2.1 m along the floor to the rear door. The coefficient of kinetic friction between the box and the floor is 0.36. What is the work done by the weight of the box? Wmg 31.6 J What is the work done by the Normal Force? WN = 0 What is the work done by the frictional force? Wfk = 23.31 What is the net work done on the box? Wnet What is the change in kinetic energy for the box? AKE How fast is the box moving just before it hits the rear door? Vfinal = J J X J J ms
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- D & E PLEASEA force with a magnitude of 60 N is applied at an angle theta= 50 to the horizontal to an object initially at rest, displacing it 5 m from its initial location. The object weighs 50 kilograms and there is no friction. After this displacement, the force is no longer applied. Determine the work being done by the force? How fast is the object when the force is removed? When the force is no longer exerted, the item falls down a 10-meter-high cliff. When it reaches the ground, what is its velocity? When it strikes the ground, it slides along the ground, which has a coefficient of kinetic friction of 0.25. How far does it go before coming to a stop?