The correct answer is selected below. Please show how to arrive at this conclusi

Question

The correct answer is selected below. Please show how to arrive at this conclusion.

Thank you.

The figure shows a graph of potential energy versus position for a particle moving in a straight line. From this curve, for the region shown, we deduce that ??? the force on the particle would be strongest when the particle is near the origin, there are three positions of stable equilibrium. for a given value of x, the particle can have a total energy that lies either above or below the value given by the curve at that point. this could not represent an actual physical situation, since the drawing shows the potential energy going negative, which is not physically realizable. the force on the particle would be strongest when the particle is near point D.

Explanation / Answer

a)

F = - du/dx

so force is max where the slop is max so this is happing near the origin

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