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Advertisement [](https://brainly.com/) Cancel Log in / Join for free menu Log in Join for free Try advanced features for free Join for free Log in [home](https://brainly.com/?source=breadcrumbs?source=breadcrumbs) / [Physics](https://brainly.com/subject/physics?source=breadcrumbs) verified Expert-Verified options verified Expert-Verified # Why is there a negative sign in the equation for Hooke's law?A. The negative sign indicates that the force constant must be negative. B. The negative sign indicates that the direction of the restoring force is opposite that of displacement. C. The negative sign indicates that the direction of the applied force is opposite that of displacement. D. The negative sign indicates that displacement decreases with increasing force. loading See answers loading arrow right See Expert answer Asked by skpb76180 • 11/29/2022 Advertisement Community by Students Brainly verified by Experts ChatGPT by OpenAI Gemini Google AI ## Community Answer This answer helped 106394518 people    106M This answer has a 0.0 rating 0\.0 This answer was loved by 0 people 0 options upload Upload your school material for a more relevant answer The **negative sign** indicates that the direction of the **restoring force** is opposite that of **displacement**. *option* ***B*** *is the correct answer.* ### What is Hooke's law? **Hooke's law** states that the **restoring force** acting on a spring is directly proportional to the extension of the spring. **Hooke's Law** is given by the equation: F = - kx where; - k is the spring constant - x is the displacement of the spring from its equilibrium position The negative sign in the equation indicates the direction of the **restoring force.** This **restoring force** tends to bring the spring back to its equilibrium position. That is, the r**estoring force** is always in opposite direction to the **displacement**. This means that when the spring is stretched to the right, the **restoring force** tends to bring it back to the left, to the equilibrium position. Also if the spring is compressed to the left, the **restoring force** tends to bring it back to the right, to the equilibrium position. Learn more about **Hooke's law** here: [brainly.com/question/2648431](https://brainly.com/question/2648431) \#SPJ1  Answered by onyebuchinnaji •20\.4K answers•106\.4M people helped heart outlined Thanks0 0\.0 (0 votes) verified ## [Expert-Verified⬈(opens in a new tab)](https://brainly.com/experts?source=QP+Experts) This answer helped 106394518 people    106M This answer has a 0.0 rating 0\.0 This answer was loved by 0 people 0 options upload Upload your school material for a more relevant answer The negative sign in Hooke's Law indicates that the restoring force acts in the opposite direction to the displacement of the spring. This means when a spring is stretched or compressed, the force exerted by the spring works to bring it back to its equilibrium position. Therefore, the correct option is B: The negative sign indicates that the direction of the restoring force is opposite that of displacement. chevron down ## Explanation Hooke's Law explains how springs behave when they are stretched or compressed. The law is mathematically expressed as: F\=−kx Where: - **F** is the restoring force exerted by the spring, - **k** is the spring constant (a measure of the spring's stiffness), - **x** is the displacement from the spring's equilibrium position. The negative sign in this equation is crucial for understanding the nature of the restoring force. It indicates that when the spring is displaced (either stretched or compressed), the force exerted by the spring always acts in the opposite direction of that displacement. Essentially, if you pull the spring to the right (positive displacement), the restoring force acts to pull it back to the left (negative direction), and vice versa. This characteristic behavior is what allows springs to return to their original position after being stretched or compressed. Without the negative sign, we would incorrectly assume that the force acts in the same direction as the displacement, which would mean the spring would continue to extend or compress indefinitely rather than returning to its equilibrium position. By understanding this, we see that the spring's force is not just a reaction to being displaced, but also involves a restorative aspect that aims to restore the spring to its rest state. chevron down ## Examples & Evidence For example, if you pull a spring so that it stretches by 10 cm to the right, the restoring force will act to the left to try to bring it back to its original length. Conversely, if you compress the spring by 10 cm to the left, the restoring force will act to the right. The explanation and application of Hooke's Law is a fundamental principle taught in physics courses, widely used in experiments involving springs, and can be found in reputable physics textbooks and educational resources. heart outlined Thanks0 0\.0 (0 votes) Advertisement ## Community Answer This answer helped 8366256 people    8M This answer has a 0.0 rating 0\.0 This answer was loved by 0 people 0 options The negative sign in Hooke's law equation F = -kx indicates that the restoring force exerted by the spring is in the opposite direction to the displacement caused by external forces. The negative sign in Hooke's law, which is represented by the equation F = -kx, is essential in indicating the direction of the restoring force that a spring exerts. The negative sign specifically dictates that this restoring force is directed opposite to the displacement. When a spring is deformed, either by stretching or compressing, it exerts a force that tries to return the spring to its original, undisturbed position. This behavior demonstrates the linear relationship between force and displacement and reflects the spring's tendency to resist deformation, which is quantified by the spring constant, k. The property of springs described by Hooke's law is fundamental to the understanding of oscillatory motion and the behavior of spring-loaded systems. profile Answered by StefaniJoanne •24\.1K answers•8\.4M people helped heart outlined Thanks0 0\.0 (0 votes) Advertisement [Free Physics solutions and answers](https://brainly.com/subject/physics "Free Physics solutions and answers") - Community Answer This answer was loved by 47 people 47 [Whats the usefulness or inconvenience of frictional force by turning a door knob?](https://brainly.com/question/4642639?source=asked+by+others "Whats the usefulness or inconvenience of frictional force by turning a door knob?") - Community Answer This answer was loved by 4 people 4 [A cart is pushed and undergoes a certain acceleration. Consider how the acceleration would compare if it were pushed with twice the net force while its mass increased by four. 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