A 0.27 kg mass is held against a compressed spring with a spring constant of 84.9 N/m. The mass is initially at rest upon a horizontal surface and the spring force is directed parallel to the plane of the surface. If the coefficient of kinetic friction is 0.826, with what speed does the mass leave contact with the spring if the spring is initially compressed by 0.256 m
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A 0.27 kg mass is held against a compressed spring with a spring constant of 84.9 N/m. The mass is initially at rest upon a horizontal surface and the spring force is directed parallel to the plane of the surface. If the coefficient of kinetic friction is 0.826, with what speed does the mass leave contact with the spring if the spring is initially compressed by 0.256 m
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- A moving 2.90 kg block collides with a horizontal spring whose spring constant is 327 N/m.The block compresses the spring a maximum distance of 12.00 cm from its rest position. The coefficient of kinetic friction between the block and the horizontal surface is 0.400. What is the work done by the spring in bringing the block to rest? How much mechanical energy is being dissipated by the force of friction while the block is being brought to rest by the spring? What is the speed of the block when it hits the spring?A 0.28 kg mass is held against a compressed spring with a spring constant of 2,446 N/m. The mass is initially at rest upon a horizontal surface and the spring force is directed parallel to the plane of the surface. If the coefficient of kinetic friction is 0.716, with what speed does the mass leave contact with the spring if the spring is initially compressed by 0.068 m?A block of mass m = 5.33 kg is attached to a spring that is F(N) resting on a horizontal, frictionless table. The block is pushed 5- into the spring, compressing it by 5.00 m, and is then released 4 from rest. The spring begins to push the block back toward the equilibrium position at x = 0 m. The graph shows the component of the force (in newtons) exerted by the spring on the block versus the position of the block (in meters) relative 2- 1- x(m) to equilibrium. Use the graph to answer the questions. -5 -3 -2 -1-1 2 4 -2 -3 How much work W is done by the spring in pushing the block -4 from its initial position at x = -5.00 m to x = 2.64 m? --5- -6 W = J What is the speed v of the block when it reaches x = 2.64 m? m/s U = What is the maximum speed vmax of the block? m/s Umax
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- An ideal spring is attached to the ceiling. While the spring is held at its relaxed length, a wooden block (M = 850 g) is attached to the bottom of the spring, and a ball of clay (m = 210 g) is pressed onto the bottom of the block so that they stick together. The block+clay are gently lowered through a distance of d = 2.7 cm and are then released, at which point they hang motionlessly from the bottom of the spring. After a few minutes have passed, the clay unsticks itself from the block and falls from rest to the ground. 1. What is the resulting period T of the block’s oscillation after the separation occurs? 2. As d approaches 0, what limit does T approach?a 2 kg weight is fasten to a spring on an inclined plane. It has a spring constant of 20 N/m. When the spring is relaxed, the mass sits at the bottom of the incline. It is compressed 0.25 m from its relaxed position, and the weight is released. It goes down the incline, to the horizontal surface and up a second, identical incline. If there were kinetic friction between the weight and the right incline, but none between the weight and the left incline, what would be the coefficient of kinetic friction μk so the maximum height reachable is the same as the starting position (i.e. d=0.25m).A horizontal spring with force constant k = 665 N/m is attached to a wall at one end and to a block of mass m = 2.35 kg at the other end that rests on a horizontal surface. The block is released from rest from a position 4.30 cm beyond the spring's equilibrium position. (a) If the surface is frictionless, what is the speed of the block as it passes through the equilibrium position? m/s(b) If the surface is rough and the coefficient of kinetic friction between the box and the surface is ?k = 0.300, what is the speed of the block as it passes through the equilibrium position? m/s