A horizontal mass–spring system has amplitude and angular frequency
PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics
Problem
A horizontal mass–spring system has amplitude 12cm and angular frequency 5rads−1. The mass of the block is 0.40kg.
(i) Derive an expression relating the ratio U/E (potential energy to total energy) to the displacement x in terms of the amplitude A.
(ii) Using your expression, calculate the magnitude of displacement when the kinetic energy is three times the potential energy.
(iii) Determine the speed of the mass at the displacement found in part (ii).