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AP® Physics 1 & 2

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Moderate

Force Graph For SHM

APPH12-Y8LN7Z

An object is constrained to move only in the horizontal direction between positions of -2 meters and 2 meters. The graph below shows the net force acting on the object vs. its horizontal position:

A student reading this graph comes to the conclusion that this object, if set into motion, would undergo simple harmonic motion.

Which of the following statements is a correct justification for that conclusion?

A

Simple harmonic motion requires a force toward equilibrium which is proportional to the distance from equilibrium.

B

Simple harmonic motion requires that an object have constant acceleration, and the slope of this graph shows that acceleration is constant.

C

Simple harmonic motion requires that the net work done on an object in one cycle be positive.

D

Simple harmonic motion requires that the net work done on an object in one cycle be negative.