Why is there a negative in Hooke's Law (F = -kx)

In summary, the negative in F = -k*x in Hooke's Law represents the reaction force against the force applied on the spring, which is always directed opposite to the displacement. This allows for easier calculation of the reaction force without considering the direction of the applied force.
  • #1
Blockade
68
0
For Hooke's Law, why is there a negative in F = -k*x? Is it because k is the reaction force against the force applied on the spring and not the force pushing or pulling on it? For example, let's say that the origin is set where the spring ends when it's in equilibrium with no forces applied to it. However, when I push on to it, that force is going left into the negative direction, but the reaction force to that is pointing the positive direction (right). Therefore, is the reason why there's a negative in the Hooke's Law equation is to calculate for the reaction force while giving it less thought on where is the action force is going?
 
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  • #2
That's right. The force of the spring on whatever is pulling/pushing it is always directed opposite to the displacement.
 
  • #3
Drakkith said:
That's right. The force of the spring on whatever is pulling/pushing it is always directed opposite to the displacement.
Thank you very much for your speedy reply.
 

Related to Why is there a negative in Hooke's Law (F = -kx)

1. Why is there a negative in Hooke's Law?

The negative in Hooke's Law represents the direction of the force. It indicates that the force is acting in the opposite direction of the displacement.

2. What does the negative sign in Hooke's Law mean?

The negative sign indicates that the force and displacement are in opposite directions. This means that as the object is displaced, the force is pulling or pushing in the opposite direction, creating a restorative force.

3. Why is the negative sign important in Hooke's Law?

The negative sign is important because it allows us to determine the direction of the force acting on an object. It also helps us understand the relationship between force and displacement, as the force is proportional to the negative value of the displacement.

4. Can Hooke's Law be used without the negative sign?

No, Hooke's Law cannot be used without the negative sign. The negative sign is necessary to accurately represent the direction and relationship between force and displacement in the law.

5. How does the negative sign affect the calculations in Hooke's Law?

The negative sign affects the calculations by determining the direction of the force and displacement vectors. It also changes the sign of the force, indicating whether it is a pulling or pushing force in response to the displacement. Without the negative sign, the calculations would not accurately represent the physical properties of the system.

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