Which is a correct description of hooke's law?

a. the force applied to a spring equals the product of the spring constant and the displacement.
b. the force applied to a spring equals the spring constant divided by the displacement.
c. the spring constant of a spring equals the product of the force applied and the displacement.
d. the spring constant of a spring equals the displacement divided by the force applied.

The correct description  of Hooke's law is A.) The force applied to a spring equals the product of the spring constant and the displacement.

The right answer is a.)

Explanation:

The general form of Hooke´s Law is as follows:

F = -K x, where x= displacement from the equilibrium position.

Hooke´s Law tries to explain the behaviour of a spring, when acted by an external force, stating that when a string is acted on, there exist always a force that opposes dynamically to the displacement that the spring is suffering.

It is said that is a restoring force, trying that the spring recovers his length when idle, not being a constant one, but it is always proportional to the displacement.

The proportionality constant between the restoring force and the displacement is called spring constant, and measures the stiffness of the spring.