For a particle performing simple harmonic motion of amplitude A, the ratio of its kinetic energy to potential energy is observed to be n at a certain displacement x from the mean position.
(a) Derive an expression for Ax in terms of the ratio n.
(b) Using the result of part (a), find Ax when n=5.
(c) At this displacement, determine the percentages of kinetic and potential energies in the total mechanical energy.