Engineering
Physics
Potential Energy Conservative Forces and Non Conservative Forces
Equilibrium
Calculus
Question

Potential energy and position for a conservative force are plotted in graph shown. Then force position graph can be

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Solution
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The force F is related to potential energy U by the equation: F=-dUdx. This means the force is the negative slope of the U-x graph.

Analyzing the given U-x graph: the slope is positive and constant from x=0 to x=a, so F is negative and constant. From x=a onward, the slope is zero, so F is zero.

The correct force-position graph must show a constant negative force for 0a.

Final Answer: The third option.