Physics

Problem

a. Oscillator P has

m_P = 0.30\,\text{kg}

\omega_P = 5\,\text{rad s}^{-1}

and

A_P = 4\,\text{cm}

. Oscillator Q has

m_Q = 0.50\,\text{kg}

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

and

A_Q = 6\,\text{cm}

. (i) Calculate the ratio of their maximum kinetic energies

K_{\text{max},P} : K_{\text{max},Q}

. (ii) Determine the ratio of their maximum speeds

v_{\text{max},P} : v_{\text{max},Q}

and state which oscillator attains the higher maximum speed. a. Oscillator P has

m_P = 0.30\,\text{kg}

\omega_P = 5\,\text{rad s}^{-1}

and

A_P = 4\,\text{cm}

. Oscillator Q has

m_Q = 0.50\,\text{kg}

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

and

A_Q = 6\,\text{cm}

. (i) Calculate the ratio of their maximum kinetic energies

K_{\text{max},P} : K_{\text{max},Q}

. (ii) Determine the ratio of their maximum speeds

v_{\text{max},P} : v_{\text{max},Q}

and state which oscillator attains the higher maximum speed.