Angle between Displacement and Force: 87.9 Degrees | Work and Energy Calculation

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Homework Help Overview

The discussion revolves around calculating the angle between a force and displacement in the context of work and energy. The original poster presents a scenario involving a force of 640 N doing 12,500 J of work over a displacement of 24.0 m, leading to an angle calculation of 87.9 degrees.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between work, force, and displacement, questioning the calculations and the assumptions made regarding the angle. There are attempts to clarify how the angle was derived and whether the work done should influence the calculation.

Discussion Status

The discussion is active with participants seeking clarification on the calculations and the underlying equations. Some guidance has been offered regarding the relevant equations, but multiple interpretations of the angle calculation are being explored without explicit consensus.

Contextual Notes

There is an indication of uncertainty regarding the application of the work-energy principle and how it relates to the angle calculation. Participants express a need to reconcile their calculations with the work done.

x3lifelove
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A force of 640 N does 12 500 J of work over a displacement of 24.0m. What is the angle between the displacement and force? I get a answer of 87.9 degrees.
 
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x3lifelove said:
I get a answer of 87.9 degrees.

How did you get that angle?

ehild
 
ehild said:
How did you get that angle?

ehild

I used
cos=(24.0m)/(640N)
=87.9 degrees

I feel as though i should be taking into account the work that done, but I'm not exactly sure how to.
 
What is the equation that relates work, force, and displacement? Use it to solve for the angle.
 
jhae2.718 said:
What is the equation that relates work, force, and displacement? Use it to solve for the angle.

I used the formula.
W=(Force)(displacement)
12500J= cos(x)(640N)(24.0m)
x= 35.5 degrees
 
That looks right.
 

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