Two particles perform simple harmonic motion along parallel lines

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

Two particles perform simple harmonic motion along parallel lines. For particle 1:

m_1 = 0.20\,\text{kg}

\omega_1 = 4\,\text{rad s}^{-1}

A_1 = 5\,\text{cm}

. For particle 2:

m_2 = 0.40\,\text{kg}

\omega_2 = 3\,\text{rad s}^{-1}

A_2 = 4\,\text{cm}

. Calculate the ratio of their total mechanical energies

E_1:E_2