The potential energy of an ideal mass–spring system varies with time according to

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

The potential energy of an ideal mass–spring system varies with time according to U(t)=0.30 J cos⁡2 ⁣(2πt0.50 s)U(t)=0.30\,\text{J}\,\cos^{2}\!\left(\dfrac{2\pi t}{0.50\,\text{s}}\right). Determine the maximum kinetic energy of the system.

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