Force vs Displacement: Constant Force Experiment Results

In summary, the conversation discusses the relationship between force and displacement in the context of Hooke's Law. It is stated that a constant displacement will result in a constant increase in force, as long as the elastic limit is not exceeded. The concept of a linear relationship between force and displacement is also mentioned, with examples given to illustrate this relationship. The relationship is further explained using equations.
  • #1
UrbanXrisis
1,196
1
It is true that whether using one rubber band or a bunch, a constant displacement will result in a constant increase in force?

I did this experiment in school and both experiements gave me a linear line for Force vs Displacement.
 
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  • #2
That's Hooke's Law. To a close order of approximation, as long as you aren't near the elastic limit, yes.
 
  • #3
I'm not quite sure what you mean by "constant" in this context, urbanXrisis:

We say that we have a LINEAR relationship between force and displacement if (for example) a doubling of the displacement causes a doubling of the force.
In the case of rubber band (or a bunch of them), modelling the force/displacement as a linear relationship is close enough to reality to be called true..(up to a point, that is..)

Was this what you were asking about?
 
  • #4
yes, thanks for the replys, it helped me out
 
  • #5
Urban, also consider

Straight Line Equation

[tex] y = mx + b [/tex]

Hooke's Law

[tex] F = kx [/tex]
 

1. What is the purpose of the constant force experiment?

The purpose of the constant force experiment is to investigate the relationship between force and displacement. This experiment helps us understand how a constant force applied to an object affects its displacement.

2. How is the constant force experiment conducted?

In the constant force experiment, a force is applied to an object and the resulting displacement is measured. The experiment is repeated multiple times with different values of force to collect data and analyze the relationship between force and displacement.

3. What are the variables in the constant force experiment?

The independent variable in the constant force experiment is the force applied to the object. The dependent variable is the displacement of the object. Other variables such as the mass and surface of the object, as well as the method of force application, are controlled to ensure accurate results.

4. What are the expected results of the constant force experiment?

The expected results of the constant force experiment are that as the force applied to the object increases, the displacement of the object will also increase. This relationship is known as Hooke's law, which states that the force applied to an object is directly proportional to its displacement.

5. How is the data from the constant force experiment analyzed?

The data from the constant force experiment is analyzed by plotting a graph of force vs displacement. The slope of the line on the graph represents the stiffness of the object, which is a measure of how much force is needed to produce a certain displacement. The data can also be analyzed using mathematical equations to determine the relationship between force and displacement.

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