A \( 5.00 \mathrm{~kg} \) object on a horizontal frictionless surface is attached to a spring wi...

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A \( 5.00 \mathrm{~kg} \) object on a horizontal frictionless surface is attached to a spring with \( k=1000 \mathrm{~N} / \mathrm{m} \). The object is displaced from equilibrium \( 40.0 \mathrm{~cm} \) horizontally and given an initial velocity of \( 10.0 \mathrm{~m} / \mathrm{s} \) back toward the equilibrium position. What are (a) the motion's frequency, (b) the initial potential energy of the block-spring system, (c) the initial kinetic energy, and (d) the motion's amplitude?
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