Answer:
displacement (x) = 0.003798 meters
Explanation:
from the fact that the string is hung vertically we can deduce that:
Total force acting on the mass = Fs (by spring) + Fg (by gravity)
where
Fs = k*x , x is the displacement..
Fg = m*g
then:
Ftot = m*a, but a = 0 m/(s^2) because the mass becames stationary.
Ftot = 0
Fs + Fg = 0
by direction, take down as negative.
Fs - Fg = 0
k*x = m*g
x = m*g/k = [(0.400)(9.8)]/(10.32)
= 0.3798 meters
