A (4.0-mathrm{kg}) object is suspended from the ceiling by a spring and undergoes simple harmonic motion with

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A \(4.0-\mathrm{kg}\) object is suspended from the ceiling by a spring and undergoes simple harmonic motion with an amplitude of \(0.50 \mathrm{~m}\). At the highest position in the motion, the spring is at the length that would be its relaxed length if no object were attached.

(a) Calculate the energy of the system. For the object at its lowest position, its equilibrium position, and its highest position, calculate \((b)\) the clastic potential energy of the spring, (c) the kinetic energy of the object, and \((d)\) the gravitational potential energy of the Earth-object system.

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