A disk of mass m = 5 kg, Ic =mR3, and outer radius Ro = 0.9 m contacts an inclined surface with friction coefficient u = 0.15 and ramp angle 0 = 36.8699°. An inextensible, R. B massless string is wrapped around an inner hub of radius R, = 0.6 m. Use a work-energy argument to find the speed of the disk's center after the disk has moved d = 2 meters downhill. Ans: ve = 2.3537 m/s u = 0.15
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- The figure shows a top-down view of threeforces applied to a box. Together, these forces drag thebox 3.0 m across the floor.What is the total work done on the box during thismotion?A. -300 JB. 325 JC. 775 JD. 870 JE. 1050 JA 50 kg projectile is fired from a cannon located on the ground, up to a height of 425 m. The system is composed of the projectile and the Earth, and the reference level is the surface of the Earth. 1. What is the gravitational potential energy of the system when the projectile is at this point? 2. What is the change in potential energy when the projectile descends to a height of 225 m?A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing below illustrates. The crest of the second hill is circular, with a radius of r = 37.3 m. Neglect friction and air resistance. What must be the height h of the first hill so that the skier just loses contact with the snow at the crest of the second hill?
- A small block of mass M = 300 kg begins at height h above the ground. It slides down a frictionless surface and encounters a loop of radius R = 5 m, as shown in the figure. What is the minimum initial height of the block so that it does not derail as it goes through the loop? Give you answer to tree significant figures. h 12.5 mIn an amusement park, a car with a mass of 481 kg rolls in a track as shown below. Note that the work done by the rolling friction is not zero between the starting point and point A. If the speed of the car in point A is 21 m/s, what is the magnitude of the work done by friction between the starting point and point A? Assuming that there is no friction between points A and B, and, If the speed of the car in point A is 21 m/s, what is the magnitude of the speed of the car in point B? Assuming that there is no friction between points B and C, and, If the speed of the car in point B is 5 m/s, what is the magnitude of the speed of the car in point C?In the attached image, the mass is 3.20 kg, and theta=37 degrees. The surface does have friction, with static coefficient=0.45 and kinetic coefficient=0.39.If a person takes hold of the rope and, pulling at this angle with a force of T=23 N, drags the box 3.8 meters... a. How much work is done on the box by person pulling? b. How much work is done on the box by the force of friction? c. What is the net work done on the box?
- A roller-coaster car may be represented by a block of mass 40.0 kg. The car is releasedfrom rest at a height h = 50.0 m above the ground and slides along a frictionless track.The car encounters a loop of radius R = 20.0 m at ground level, as shown in the figurebelow. As you will learn in the course of this problem, the initial height 50.0 m is greatenough so that the car never loses contact with the track.a) Find the speed of the car at the top of the loop.b) Find the minimum initial height hmin at which the car can be released that stillallows the car to stay in contact with the track at the top of the loop.Please leave the answer in terms of ρ, g, and possibly π. A 40 m long chain hangs freely from a ledge. Suppose the chain has a total mass of 800 kg. How much work is required to pull the entire chain up to the top of the ledge?Please explain this thoroughly with all equations used and manipulated.Let’s consider an exotic sports car (the Brinkley Ace) with a high powered engine and an aerodynamic design. We will assume the car has a cross-sectional area of 2.3 m2 and has a drag coefficient of 0.26. The car is equipped with an engine and electric motor that are able to put out a combined 400 kW through a continuously variable transmission. It has a mass of 1260 kg, and the density of air is 1.21 kg/m3 (a) Give a properly labeled diagram for each of the situations below. (b) Calculate the top speed of this vehicle assuming there is no rolling friction. (c) When we run this car on a flat surface, we find the actual top speed to be 95 m/s, given this information, what is the value of rolling friction (what forces other than air drag oppose the motion of the car, give a value in Newtons) (d) Given the rolling friction from part (c), and assuming sufficient traction, what would this vehicles maximum acceleration be…
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