Let's say we have a spring with a constant of K= 300 N/m and this spring is attached to the incline at the top making an angle of θ=44.0° with the horizontal. Now, after we have this problem, there is a projectile that has a mass of 1 kg that is pointing up the plane. The initial position of this projectile is d = 1.3 m and it is from the end 0f a uncompressed spring. Answer the following questions: Let’s say the incline has no friction at all and given the kinetic energy for the projectile is 15 J. How much c0mpression will the spring receive? Let's say we have a coefficient of friction = 0.300 and the spring will have to c0mpress 1.10 the instant the projectile stops..in order for this to happen, what should be the initial speed of the projectile?

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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.