As shown in Figure 1, a block with mass m = 3.5 kg is placed on a horizontal surface at position A, where it compresses a spring with spring constant k by a displacement Ax. 1 K = =mv² Ug = mgy 1 Delta x (cm) = 49.25 U, = żK(Ax)? F = HkN The mass is released from rest at position A, and the spring expands until the block leaves the spring at position B. There is no friction between A and B. Wext = Fext Cos 0 Ax Wext = (K – Ko) + (U – U.) Between positions B and C, the block travels over a flat, rough surface having a coefficient of kinetic friction µg and length d = 5.5 m. d Figure 1. Between positions C and D, the block climbs a curved ramp until it reaches position D, a height h = 2.0 m above the surface. There is no friction between C and D. a) The block's velocity when it reaches position B is vg = 9.65 m/s. Use conservation of energy between positions A and B to calculate the value of the spring constant k (in N/m). b) The block's velocity when it reaches position C is vc- v. (m/s) = 6.45 Use conservation of energy between positions B and C to calculate the coefficient of kinetic friction Hk- c) Use conservation of energy between positions C and D to calculate the block's velocity (in m/s) when it reaches position D.

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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.