A graph of the net force acting on a particle versus its displacement is a straight line that passes through the point x=0,F=0 and has a negative slope. Which statement about the point x=0 is most accurate?
a) x=0 is an unstable equilibrium because the spring constant is negative, so any displacement pushes the particle farther from x=0.
b) x=0 is not an equilibrium point because the net force depends on displacement rather than remaining zero.
c) x=0 is a stable equilibrium because a small displacement produces a force directed back toward x=0.
d) x=0 is a neutral equilibrium because the slope of the force–displacement graph is zero at that point.