Oscillator 1 has mass

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

m_1 = 0.20\,\text{kg}

, angular frequency

\omega_1 = 10\,\text{rad s}^{-1}

and amplitude

A_1 = 0.050\,\text{m}

. Oscillator 2 has mass

m_2 = 0.50\,\text{kg}

, angular frequency

\omega_2 = 8.0\,\text{rad s}^{-1}

and amplitude

A_2 = 0.040\,\text{m}

. What is the ratio of their total mechanical energies

E_2/E_1

(nearest hundredth)? (a)

1.28

(b)

0.64

(c)

0.96

(d)

1.02