Problem 1 A block of mass m = 2 kg moves toward a spring of constant k. When it is at a distance L = 1 m from the end of the spring, it has a speed of v = 4 m/s. It then hits and compresses the spring to the maximum distance r = 0.3 m. The coefficient of kinetic friction between the block and the floor is = 0.1. Find the spring constant k. m L ! V x k
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- 1 2 3 4 31 5 A 1.0 kg block is connected to a horizontal spring as shown with spring constant 200 N/m. You pull the block horizontally, stretching the spring a total of 20 cm from its equilibrium position. The kinetic frictional coefficient between the surface and the block is 0.25. What is the acceleration of the spring right after you let go of it? (b) 0 0 0 0 37.62 42.5 40 m 58.12 www Fspr x = 0 ↑To measure the static friction coefficient between a 4.50-kg block and a vertical wallI, the setup shown in the drawing is used. A spring (spring constant = 498 N/m) is attached to the block. Someone pushes on the end of the spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by 0.0466 m, what is the coefficient of static friction? Number i UnitsM Point X Point Y Point Z A student attaches a block of mass M to a vertical spring so that the block-spring system will oscillate if the block-spring system is released from rest at a vertical position that is not the system's equilibrium position. The figure shows three positions of the spring as it travels from point X to point Y and then from point Y to point Z. Point X is the lowest point of the center of mass of the block as it oscillates. Point Y is the equilibrium position of the block-spring system. Point Z is the highest point of the center of mass of the block as it ocillates. The gravitational potential energy of the block- spring-Earth system is considered to be zero at point X. Which of the following claims is correct about the block- spring-Earth system? The gravitational potential energy of the block-spring-Earth system is the same at point X as it is at point Z. (A The spring potential energy of the block-spring-Earth system is the same at point X as it is at point Z.…
- A box slides from rest down a frictionless ramp inclined at 38.0° with respect to the horizontal and is stopped at the bottom of the ramp by a spring with a spring constant of k = 3.50 x 104 N/m. point of release 1 m compression of spring If the box has a mass of 12.0 kg and slides 3.00 m from the point of release to the point where it comes to rest against the spring, determine the compression (in m) of the spring when the box comes to rest.9Questions a,b and c
- A 215 g object is attached to a spring that has a force constant of 75.5 N/m. The object is pulled 9.25 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table. Calculate the maximum speed vmax of the object.A mass of 70.0 g is hung on the end of a string that is 2.00 m in length. It is given an initial speed of 1.20 m/s and released while at an angle of 30.0 degrees from its equilibrium position. Part A What is the speed of the mass at its lowest point? Part B What is the speed of the mass when \thetaθ = 15.0 degrees? Part C What is the tension in the string when the mass is at its lowest point?