A 0.23 kg mass on a spring vibrates with amplitude 25 cm and frequency 1.7 Hz. Calculate (b) the speed at which the mass passes through equilibrium and (b) the total energy of the oscillation. (Answers: 0.82 J, 2.7 m/s).

a) 2.67 m/s

b) 0.82 J

Explanation:

Amplitude A = 25 cm = 0.25 m

The period of the motion is the inverse of the frequency

So the angular frequency

The speed at the equilibrium point is the maximum speed, at

The spring constant can be calculated using the following

The total energy of the oscillation is

the force on the thing and the distance the force moves the thing