Work vs Position: Force-Displacement Relationship

In summary, the plot titled "Work [Joule] versus Position [meter]" has a linear trendline of y = 3.75 x + 0.135. This can be translated to a physics equation as the area under the graph of force vs. position, where the derivative of the graph with respect to position represents the applied force. However, it is unclear how this relates to power.
  • #1
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Homework Statement


1. You create a plot and the linear trend is y = 3.75 x + 0.135.
The plot is titled "Work [Joule] versus Position [meter]".
Write the "physics" translation for this plot's trendline.


Homework Equations



y = 3.75 x + 0.135.
Find physics equation.


The Attempt at a Solution



My understanding is that the area under a graph of force vs. position is work. However, I have no idea what a work versus position graph represents in terms of area underneath the curve and thus am unsure how to write the physics equation for this. Any ideas?
 
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  • #2
The derivative of the graph with respect to position would be the applied force, correct? I can't really think of anything else that it would be representative of. Maybe it could somehow relate to power, but that's work versus time.
 

Related to Work vs Position: Force-Displacement Relationship

1. What is the difference between work and position?

Work and position are two different concepts in physics. Work refers to the amount of energy transferred to or from an object by a force, while position refers to the location of an object in space.

2. How are work and position related to each other?

Work and position are related through the force-displacement relationship. This relationship states that the work done on an object is equal to the force applied to it multiplied by the displacement of the object in the direction of the force.

3. Can you give an example of the force-displacement relationship?

One example of the force-displacement relationship is a person pushing a box across the floor. The force they apply to the box is multiplied by the distance the box moves in the direction of the force, resulting in the work done on the box.

4. How does the force-displacement relationship affect the amount of work done?

The force-displacement relationship directly affects the amount of work done on an object. The greater the force applied or the greater the displacement, the more work will be done on the object.

5. What are some real-life applications of the force-displacement relationship?

The force-displacement relationship has many real-life applications, such as in the design and operation of machines, such as cars and elevators. It is also used in sports, such as in weightlifting or throwing events. Additionally, it is used in fields such as engineering, physics, and biomechanics to analyze and understand the behavior of systems under various forces and displacements.

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