A vertical spring stretches 4.4 cm when a 14-g object is hung from it. The object is replaced with a block of mass 24 g that oscillates up and down in simple harmonic motion. Calculate the period of motion.
Gravitational acceleration = g = 9.81 m/s2
Force constant of the spring = k
Mass of the first object hung from the spring = m1 = 14 g = 0.014 kg
Amount the spring stretches due to the first object = X1 = 4.4 cm = 0.044 m
m1g = kX1
(0.014)(9.81) = k(0.044)
k = 3.121 N/m
Mass of the second object attached to the spring = m2 = 24 g = 0.024 kg
Time period of the oscillation of the second object on the spring = T
T = 0.55 sec
Time period of the simple harmonic oscillation of the 24 g object on the spring = 0.55 sec
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