A compressed spring has the potential energy of 20 J and its spring constant is 200 N/m. Calculate the displacement or extension of the spring

A spring has a natural length of 0.2350 m and a spring constant of 584 N/m. At what TWO lengths would the spring have a potential energy of 21.4 J? Are both of these lengths feasible?

A certain spring is found not to obey Hooke's law; it exerts a restoring force F(x) = -ax² - 6x³ if it is stretched or compressed, where: a = 10.0N/m², B = 300.0N/m³ The mass of the spring is negligible. Calculate the potential energy function U(x) for this spring, if U(x=0) = 0. Find the spring potential energy at x = 0.500 m

An ideal spring can compress 2.33 cm by a force of 1290 N, a block of mass m = 3.18 kg is released from rest on an inclined plane, the inclination of the plane is 32 degrees,  the block rest momentarly when the spring is compress 5.48 cm. Find the speed of the block when reaches the spring. (g = 10 m/s2 ).

A 7.0 kg block on a horizontal, frictionless surface is attached to a light spring (force constant = 1.2 kN/m). The block is initially at rest at its equilibrium position when a force of magnitude P acting parallel to the surface is applied to the block, as shown. When the block is 8.0 cm from the equilibrium position, it has a speed of 0.80 m/s. How much work is done on the block by the force P as the block moves the 8.0 cm? A. 7.4 J B. 5.4J C. 6.1J D. 6.7J E. 4.9J

Suppose a box of mass m slides toward a spring with a speed of Vi, presses 1.00 m into the spring, and then bounces away with a final speed of 15.0 m/s. Find the initial speed of the box. Take into account the work due to friction (μk = 0.5).

Suppose a box of mass mm slides toward a spring with a speed of vi, presses 1.00 m into the spring, and then bounces away with a final speed of 13.0 m/s. Find the initial speed of the box. Take into account the work due to friction (μk= 0.5).