Solved: What is the objects potential energy when its displacement, Physics

What is the objects potential energy when its displacement

A 3.0 kg object subject to a restoring force F is undergoing simple harmonic motion with small amplitude.

The potential energy U of the object as a function of distance x from its equilibrium position is shown above.

This particular object has a total energy E of 0.4 J.

(a) What is the object's potential energy when its displacement is +4cm from its equilibrium position?

(b) What is the farthest the object moves along the x-axis in the positive direction? Explain your reasoning.

(d) What is the object's speed at x = 0?

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