The spring bumper is used to arrest the motion of the 40 N block, which is sliding towards it at VA = 3 m/s. As shown in Figure 2, the spring is confined by the plate P and the wall using cables so that its length is set to 0.5 m. If the stiffness of the spring is 1500 N/m, determine the required unstretched length of the spring so that the plate is not displaced more than 0.1 m after the block collides on it. Neglect friction, mass of the plate and spring and the energy loss between the plate and the block during collision.

The spring bumper is used to arrest the motion of the 40 N block, which is sliding towards it at VA = 3 m/s. As shown in Figure 2, the spring is confined by the plate P and the wall using cables so that its length is set to 0.5 m. If the stiffness of the spring is 1500 N/m, determine the required unstretched length of the spring so that the plate is not displaced more than 0.1 m after the block collides on it. Neglect friction, mass of the plate and spring and the energy loss between the plate and the block during collision.