What Type Of Variables Are The Force And Extension?

How do you test for Hooke’s Law?

You can investigate Hooke’s Law by measuring how much known forces stretch a spring.

A convenient way to apply a precisely-known force is to let the weight of a known mass be the force used to stretch the spring..

What is the difference between length and extension?

As nouns the difference between extension and length is that extension is the act of extending or the state of being extended; a stretching out; enlargement in breadth or continuation of length; increase; augmentation; expansion while length is the distance measured along the longest dimension of an object.

Is distance a dependent variable?

Time is always the independent variable. The other variable is the dependent variable (in our example: time is the independent variable and distance is the dependent variable).

Is force or acceleration the dependent variable?

Assume we measure acceleration as we vary force. If we plot force as our independent variable (i.e. on the x axis) and acceleration as our dependent variable (i.e. on the y axis) and knowing Newton’s second law?

What is the formula of extension?

Hooke’s Law states that the force needed to compress or extend a spring is directly proportional to the distance you stretch it. As an equation, Hooke’s Law can be represented as F = kx, where F is the force we apply, k is the spring constant, and x is the extension of the material (typically in meters).

Is force directly proportional to extension?

extension of an elastic object is directly proportional to the force applied to it. In other words: • If the force applied is doubled, the extension doubles • If no force is applied, there is no extension The graph of force against extension is a straight line through the origin, which shows a linear relationship.

What is the relationship between force and extension?

For a given spring and other elastic objects, the extension is directly proportional to the force applied. For example, if the force is doubled, the extension doubles.

What does Hooke’s law state?

Mathematically, Hooke’s law states that the applied force F equals a constant k times the displacement or change in length x, or F = kx. The value of k depends not only on the kind of elastic material under consideration but also on its dimensions and shape.

What is K in dimensional formula?

It can be represented in an equation as F = kx, where F is the force applied, k is the spring constant and x is the extension of the object usually in meters.

What is the similarities between dependent and independent variable?

These two variables are used alongside each other, and a change in the independent variable will translate to a change in the dependent variable. That is, they are similar in the sense that they change at the same time. These changes may, however, occur in the opposite direction to each other.

Why is force the dependent variable?

F = m x a – Here you can see that if you increase the force over the same mass, the acceleration will increase. Force and acceleration are directly proportional. In this situation, acceleration changes in response to a change of force, so force is the independent variable and acceleration is the dependent variable.

What is force and extension?

Extension happens when an object increases in length, and compression happens when it decreases in length. The extension of an elastic object, such as a spring, is described by Hooke’s law: force exerted by a spring = extension × spring constant.

What are the 3 variables in Newton’s second law?

Newton’s Second Law of Motion Unkown VariableKnow VariablesEquations Acceleration Net force Mass. …

What is work formula?

Work can be calculated with the equation: Work = Force × Distance. The SI unit for work is the joule (J), or Newton. … One joule equals the amount of work that is done when 1 N of force moves an object over a distance of 1 m.

Is height an independent variable?

the average height of adults might give you a graph as shown below. The independent variable is average height. The dependent variable is weight. … For example, height might be an independent variable in the context stated above but a dependent variable in a study on the effect of nutrition on growth rates.

What type of variables are force and extension?

Variables. Independent Variable: The force applied to the spring. Dependent Variable: The extension of the spring.

What is transferred when work is done?

Work is the measure of energy transfer when a force (F) moves an object through a distance (d). So when work is done, energy has been transferred from one energy store to another, and so: energy transferred = work done.

What’s the dependent variable in Hooke’s Law?

Independent Variable is the stretching force F. This is the weight attached to the spring and is calculated using W = mg. Dependent Variable is the extension of the spring e. Control Variables are the material of the spring, and the cross section area of the spring.

How can I calculate weight?

Weight is a measure of the force of gravity pulling down on an object. It depends on the object’s mass and the acceleration due to gravity, which is 9.8 m/s2 on Earth. The formula for calculating weight is F = m × 9.8 m/s2, where F is the object’s weight in Newtons (N) and m is the object’s mass in kilograms.

Is force an independent variable?

On the other hand, if we consider a situation where the two variables namely force and acceleration of a moving body is taken in to account then acceleration depends upon force and accordingly, acceleration here is the dependent variable and force is the independent variable.

What does F Ke mean?

F = keF = ke. F is the force in newtons (N) k is the ‘spring constant’ in newtons per metre (N/m) e is the extension in metres (m) This equation holds as long as the limit of proportionality is not exceeded.

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