The following figure is a potential energy curve tor a 1 Kg object in an unusual

Question

The following figure is a potential energy curve tor a 1 Kg object in an unusual conservative force. 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).

Explanation / Answer

Part a: (3m, 5J) Stable Equilibrium; (6m, 16J) Unstable Equilibrium; (7.5m, 0J) Stable Equilibrium

Part b: Object will be pushing in the positive x direction in the regions 0 to 2.5 m and 5.5m to 7m.

Part c: Object will be pushing in the negative x direction in the regions 3.5 to 4.5 m and 8m to 9.5m.

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