A block is attached to a horizontal spring of force constant

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

Problem

A 0.20 kg0.20\,\text{kg} block is attached to a horizontal spring of force constant 80 N m−180\,\text{N}\,\text{m}^{-1}. The system executes simple harmonic motion on a friction-less surface with an amplitude of 0.10 m0.10\,\text{m}. (a) Write the expression for the total mechanical energy of this system in terms of the given quantities. (b) Determine the speed of the block when its displacement from the equilibrium position is 0.060 m0.060\,\text{m}. (c) Calculate the kinetic energy of the block at this instant.

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