A block with mass 3.5 kg is on a frictionless ramp with a spring at the bottom that has a spring constant of 460 N/m. The angle of the ramp is 39", M Starting at rest the block slides down the ramp a distance of 67 cm before hitting the spring. How far in centimeters is the spring compressed as the block comes to a momentary rest? After the block comes to rest the spring pushes the block back up the ramp. How fast in meters per second is the block moving right after it comes off the spring? What is the change in gravitational potential energy (in joules) between the original position of the block at the top of the ramp and the position of the block when the spring is fully compressed?

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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.