Calculating Work Using a Force vs Distance Graph

In summary, the conversation is about finding the work using area equations on a graph. The work done from 5m to 10m is 150J, and from 10m to 15m it varies with an initial force of 30N and then dropping to 18N. Using a triangle, the work done is 120J, resulting in a total work of 270J.
  • #1
Le_Anthony
17
1

Homework Statement


queston 9.png

Homework Equations


W=(Force component*displacement)

The Attempt at a Solution


This problem uses a graph to find the Work. So I used area equations to find the Work. From 5m to 10m the Force is constant 30N. Which is applied over a displacement of 5m. So the work done from 5m to 10m is 150J. Next, from 10m to 15m the work varries. Its initially 30N then it drops down to roughly 18N. So using a triangle, .5*(30N+18N)*(5m)=120J

Answer is 270J??
 
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  • #2
Hi Le:

Your answer looks OK to me.

Regards,
Buzz
 
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  • #3
Buzz Bloom said:
Hi Le:

Your answer looks OK to me.

Regards,
Buzz
Thanks Buzz!
 
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1. What is a force vs distance graph?

A force vs distance graph is a visual representation of the relationship between force and distance. It shows how the force applied to an object changes as the distance between the object and the point of application of force changes.

2. How is a force vs distance graph used?

A force vs distance graph is used to analyze the motion of an object and the forces acting on it. It can also be used to determine the work done on an object by a force.

3. What do the slope and the area under the curve represent in a force vs distance graph?

The slope of a force vs distance graph represents the force constant or the stiffness of the spring, while the area under the curve represents the work done on the object by the applied force.

4. How can a force vs distance graph be used to determine the type of force acting on an object?

A force vs distance graph can be used to determine the type of force acting on an object by analyzing the shape of the graph. For example, a linear graph indicates a constant force, while a curved graph indicates a varying force.

5. What are the units of force and distance on a force vs distance graph?

The units of force and distance on a force vs distance graph are typically shown on the axes, with force measured in Newtons (N) and distance measured in meters (m).

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