How much potential energy, in Joules, does a spring, with a spring constant of 328 N/m, have if it is compressed by 0.24 meters? Ignore friction.

Suppose that a certain spring has spring constant k = 0.08 N/m (that’s Newtons per meter). How much work must be done to stretch the spring by 0.5 m past its equilibrium point?  Your answer will end up in units of N*m .

A pogo stick has a spring with a force constant of 2.50 x 10^4 cm, which can be compressed 10.4cm. What is the maximum height in meters above the compressed position of the spring, can a child jump with the stick using only the maximum elastic potential energy in the spring, if the child and stick have a combined mass of 35 kg?

The figure below shows a plot of potential energy U versus position x of a 0.76 kg particle that can travel only along an x axis. (Nonconservative forces are not involved.) In the graphs, the potential energies are UA = 20.0 J, UB = 35.0 J, and Uc = 45.0 J. Uc UB UA 4 х (m) The particle is released at x = 4.5 m with an initial speed of 6.0 m/s, headed in the negative x direction. (a) If the particle can reach x = 1.0 m, what is its speed there, and if it cannot, what is its turning point? m (b) What are the magnitude and direction of the force on the particle as it begins to move to the left of x = 4.0 m? magnitude direction +X Suppose, instead, the particle is headed in the positive x direction when it is released at x = 4.5 m at speed 6.0 m/s. (c) If the particle can reach x = 7.0 m, what is its speed there, and if it cannot, what is its turning point? m (d) What are the magnitude and direction of the force on the particle as it begins to move to the right of x = 5.0 m? magnitude…