Determine the constant force P required to give the system of the three blocks A, B, and C as shown in the figure a velocity of 3 m/s after moving 4.5m from the rest. The coefficient of friction between blocks and the plane is 0.3. Assume the pulleys to be smooth. A WA = 250 N W₂ = 1000 N Wc = 500 N H=0.3 C v = 3 m/s
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- rough surfice Smooth Swace feed 2.50m he 3.00m E; Ei + WNc m A 34.2 kg block slides with a velocity of 10.22 m/s to the right on a frictionless surface (as shown in the figure above). The block slides up a slope to a height of 3.00 m and then slides across a 2.50 m long rough surface with a coefficient of kinetic friction equal to 0.325. The block continues to travel to the right and bumps into a massless spring with a spring constant (k) equal to 2320 N/m. a) How much does the spring get compressed by the block with respect to its equilibrium length? Please answer with a positive number in units of metres, with 3 sig figs. Start with conservation of energy: Er = Ei + WNC , and show all steps. b) What is the potential energy stored by the spring when the mass comes to a stop? Please show the symbolic equation and then “plug in the numbers" to give a numerical answer in units of joules with 3 sig figs. c) What happens to the potential energy stored in the spring after the block stops…Current Attempt in Progress A block is projected up a frictionless inclined plane with initial speed vo= 3.16 m/s. The angle of incline is 0 = 35.0°. (a) How far up the plane does it go? (b) How long does it take to get there? (c) What is its speed when it gets back to the bottom? (a) Number i (b) Number i (c) Number i Units Units UnitsA 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?
- Shown in the figure below is a system of two blocks. One of these blocks is resting on a surface tilted left and the other one is on a surface tilted right. The strings and the pulley have no mass. There is no friction anywhere in the problem. T=? 0₁ . m₁ no friction The characteristics of the system are given here: • m₁ = 4.09 kg • m₂ = 5.29 kg 0₁ 16.6 02 = 63.0 Answer all the following: What is the normal force, N₁, on mass m₁? What is the normal force, N₂, on mass m₂? What is the acceleration, a of the system? What is the tension, T? N m₂ 02 N N N m/s² 48 Acti Go toA block is given an initial velocity of 5.00 m/s up a frictionless incline of angle of 20.0°. How far up the incline does the block slide before coming to rest? Answer: 3.73 mpervious question: Same type of track as in the previous problem, this time with d = 4.73 m. The block starts at x = 0, and is given a push to the left with an initial speed of 7.57 m/s, so it starts sliding up the track to the left. At what value of x will the block reverse direction and start sliding back down? New question: OK, same sort of track, but now with d = 2.12 m. Now suppose the blocks starts on the track at x = 4.10 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case? 18.98 m/s 12.47 m/s 8.82 m/s 14.90 m/s
- A particle moves with ω =constant and r = r0eβt where r0 and β are constants. For what values of β is the radial force zero?an object with mass m shown in the figure is attached to a spring with a spring constant k in a horizontal arrangement without friction, and the object is compressed as much as d. After the system is released, the object can rise to the height of h in the friction inclined plane. find the coefficient of kinetic friction between the oblique order and the body?An online video daredevil is filming a scene where he swings across a river on a vine. The safety crew must use a vine with enough strength so that it doesn't break while swinging. The daredevil's mass is 82.0 kg, the vine is 11.0 m long, and the speed of the daredevil at the bottom of the swing has been determined to be 7.60 m/s. What is the minimum tension force (in N) the vine must be able to support without breaking?
- 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.You are using a modified block and tackle pulley system to lift a concrete block. You need to lift the concrete block (mass = 200 kg) a distance of 5 meters upward. The system is designed to reduce the force load of 4. How much rope must you pull down on the other side of the pulley to lift the block the proper distance? Hint: There is a very simple way to solve this if you remember that work in = work out.