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

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The force F is related to potential energy U by the equation: . 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 0
Final Answer: The third option.