A horizontal spring on a frictionless surface with a spring constant of 40 N/m is compressed 0.3 m away from equilibrium and it is held at rest. A 2 kg mass is attached at the end of the spring. The spring-mass system is released from rest. Calculate the velocity of the mass when it reaches its equilibrium position.
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- Block A has mass of 1.00 kg, and block B has mass of 3.00 kg. The blocks are forced together, compressing a spring S between them; the system is then released from rest on a level, frictionless surface. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. Block B acquires a speed of 1.10 m/s. mg = 3.00 kg ma = 1.00 kg S a) Derive an equation for the conservation of energy for this example. b) What is the final speed of block A? c) Use your derived equation from (a) to calculate the potential energy stored in the compressed spring.A vertical spring with a spring constant of 490 N/m is mounted on the floor. From directly above the spring, which is unstrained, a 0.29- kg block is dropped from rest. It collides with and sticks to the spring, which is compressed by 4.1 cm in bringing the block to a momentary halt. Assuming air resistance is negligible, from what height above the compressed spring was the block dropped? ho- h4A 306 kg mass slides down a curved incline then collides with a spring. The spring constant of the spring is 156 N/m. Assume that friction is negligble in these problems. If the mass is released at a height of 1,04cm, what is the compression of the spring when the mass has a speed of 33.4 cm/s?
- A factory worker drops a 10 kg steel block from rest. The block falls 30 cm onto a vertical spring standing on the floor. The spring constant of the spring is 400 N/m. Once the block has made contact with the spring, it continues to move downward, compressing the spring until it comes to rest. (The spring then decompresses, firing the block upward.) Determine the distance that the spring was compressed by the block. Assume two significant digits in given data.As shown in the figure below, a box of mass m = 9.20 kg is sliding across a horizontal frictionless surface with an initial speed vi = 2.80 m/s when it encounters a spring of constant k = 2700 N/m. The box comes momentarily to rest after compressing the spring some amount xc. Determine the final compression xc (in m) of the spring.A 5.00-kg block is moving at 6.00 m/s along a frictionless, horizontal surface toward a spring with force constant k=500 N/m that is attached to a wall (the figure (Figure 1)). The spring has negligible mass. Find the maximum distance the spring will be compressed. If the spring is to compress by no more than 0.550 m , what should be the maximum value of v0?
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