An object with a mass of #4 kg# is hanging from a spring with a constant of #3 (kg)/s^2#. If the spring is stretched by # 24 m#, what is the net force on the object?
The net force will be
The forces acting on the mass are two: gravity and spring.
Gravity follows the equation
The force of a spring is a linear force with the length and it is represented by
The two forces work one against the other because the gravity pulls the mass towards the ground while the spring is pulling in the other direction. We say that the gravity is in the positive direction, so we can write
Because we said that the gravity is positive and our result is negative, it means that the mass will go upward.