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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.
(c) Determine the object's kinetic energy when its displacement is -7 cm.
(d) What is the object's speed at x = 0?
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