A mass attached to a vertical spring executes SHM

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

Problem

0.25\,\text{kg}

mass attached to a vertical spring executes SHM. Its maximum speed during the motion is

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

. At an instant when its displacement from the equilibrium position is

0.060\,\text{m}

, the speed of the mass is observed to be

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

. (i) Determine the amplitude of oscillation. (ii) Calculate the force constant of the spring. (iii) Find the total mechanical energy of the system.