Why is the restoring force in Hooke's law a negative value? A. The force is opposite the displacement. B. The force is smaller than the displacement. C. The force is larger than the displacement. D. The force is in the direction of the displacement.

Negative sign represents opposite direction

Explanation:

Hooke's law :

According to the Hooke's law, The force is the directly proportional to the displacement of the string.

On the other hand,

In a simple harmonic motion, The restoring force is directly proportional to the displacement and acts in the opposite direction to that of displacement.

The restoring force is defined as,

Where,

F = restoring force

k = restoring constant

x = displacement

The negative sign shows the force opposes the string's displacement

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