Physics, 18.03.2020 17:29 kprincess16r

Every spring has an equilibrium position. Which statements describe a spring at its equilibrium position? Check all that
apply
The spring constant is zero.
The elastic potential energy is at a maximum
The elastic potential energy is zero.
The displacement of the spring is at a maxi
num
The net force acting on the spring is zero.

Answers: 1

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The statements that most adequately recount the characteristics of a spring that lies in the position of equilibrium would be:

c). The elastic potential energy is zero.

d). The displacement of the spring is at a maximum.

e). The net force acting on the spring is zero.

Spring reaches the position of equilibrium when the force on the spring, as well as, the mass of the spring is similar in respect to the magnitude yet their directions are opposing one another. In order to allow spring to remain in the state of equilibrium, its elastic capacity(potential) would be zero because the movement remains zero as well. The displacement carried out by the spring would be maximum as it takes it towards the equilibrium position where the mass varies its direction and the velocity turns zero. The net force would also turn zero as the velocity goes zero which implies that no change is taking place in the spring's movement.

Thus, options c, d, and e are the correct answers.

Learn more about 'Equilibrium' here:

link

Answer from: GoldenToad7449

The elastic potential energy is zero.

The net force acting on the spring is zero.

Explanation:

The equilibrium position of a spring is the position that the spring has when its neither compressed nor stretched - it is also called natural length of the spring.

Let's now analyze the different statements:

The spring constant is zero. --> false. The spring constant is never zero.

The elastic potential energy is at a maximum --> false. The elastic potential energy of a spring is given by

$E=\frac{1}{2}kx^2$

where k is the spring constant and x the displacement. Therefore, the elastic potential energy is maximum when x, the displacement, is maximum.

The elastic potential energy is zero. --> true. As we saw from the equation above, the elastic potential energy is zero when the displacement is zero (at the equilibrium position).

The displacement of the spring is at a maxi num --> false, for what we said above

The net force acting on the spring is zero. --> true, as the spring is neither compressed nor stretched

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