A particle of mass attached to an ideal spring executes simple harmonic motion along…

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

Problem

A particle of mass

0.40\,\text{kg}

attached to an ideal spring executes simple harmonic motion along a straight line. The force constant of the spring is

80\,\text{N\,m}^{-1}

and the total mechanical energy of the system is

1.6\,\text{J}

. (i) Calculate the amplitude of oscillation. (ii) When the kinetic energy of the particle is

1.2\,\text{J}

, determine the magnitude of its displacement from the mean position. (iii) Find the speed of the particle at the instant mentioned in part (ii).