A 20.7-kg crate is pushed against a horizontal spring and compresses it 18.3 cm. The crate is then released and slides without friction along the course pictured below. At Point B, the crate flies into the air until it lands at Point C. a. What does the spring constant at least need to be to ensure that the crate makes it over Point A, which is 4.47 m above the crate's original height? b. Assuming the crate just barely makes it over Point A, what is the crate's speed at Point B, which is at the end of the track and is 3.35 m above the crate's original height? c. What is the horizontal distance between Point B and Point C?

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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.