A weight of 40N is placed on a horizontal plane touching one end of a horizontal spring whose other end is in contact with the vertical wall. The weight is moved toward the wall compressing the spring 0.20m. The spring is then released causing the weight to be projected away from the wall. The scale of the spring is 5 N/mm, and the kinetic friction is 10N. What is the velocity of the weight when the spring regains its normal weight?

Q: A 2.5-kg block moving at 2.0 m/s collides with a spring whose spring constant is 3900 N/m, as shown…

A:

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest.