A ball of mass m = 50 g is suspended by a weightless spring with stiffness x

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A ball of mass m = 50 g is suspended by a weightless spring with stiffness x = 20.0 N/m. Due to external vertical harmonic force with frequency w = 25.0 s–1 the ball performs steady-state oscillations with amplitude a = 1.3 cm. In this case the displacement of the ball lags in phase behind the external force by φ = ¾ π. Find:
(a) The quality factor of the given oscillator;
(b) The work performed by the external force during one oscillation period.
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