(a) The additional commonly available equipment you would need is stop watch.
(b) The measurement obtained with stop watch is period of oscillation. The period of oscillation can be used to determine angular speed and the angular speed is used to determine the spring constant.
(c) The frequency of oscillation of the mass is 0.8 Hz.
The value of spring constant can be determined experimentally with a mass and stop watch to record the period of oscillation.
k = ω²m
where;
With a known mass attached to the spring, the period of the oscillation can be determined using stop watch. The period of the oscillation can be used to determine the frequency and angular speed of the oscillation. The angular speed can be used to determine the spring constant, K.
ω² = K/m
ω² = 500/20
ω² = 25
ω = √25
ω = 5 rad/s
ω = 2πf
f = ω/2π
f = 5/2π
f = 0.8 Hz
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