A block attached to a spring performs simple harmonic motion with angular frequency

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

0.50\,\text{kg}

block attached to a spring performs simple harmonic motion with angular frequency

4.0\,\text{rad}\,\text{s}^{-1}

. Its speed is

0.30\,\text{m}\,\text{s}^{-1}

when the block is

0.06\,\text{m}

away from the equilibrium position and is moving towards the mean position. (i) Calculate the magnitude of the speed of the block when it is

0.08\,\text{m}

away from the equilibrium position. (ii) State whether the block is moving towards or away from the mean position at this instant.