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25 20 10 Potential Energy Curve Position (m) 10

The following figure is a potential energy curve for a 1 kg object in an unusual conservative force. (20 Marks) a. Identify and label the locations and potential energies of points of stable and unstable equilibrium. b. List the ranges in x where the object would experience a force pushing in the positive x direction. c. List the ranges in x where the object would experience a force pushing in the negative x direction. d. If the object starts at rest at x = 1 m. i. Identify the location of its turning point. ii. At what value of x does it have maximum kinetic energy and what is its speed at that point? iii. Provide a sketch of its kinetic energy as a function of x (ensure the energy values are roughly correct in this sketch).

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