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

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The discussion centers on calculating the angle between displacement and force when a force of 640 N does 12,500 J of work over a displacement of 24.0 m. One participant initially calculated the angle as 87.9 degrees using a cosine formula but later questioned the approach. Another participant clarified the relationship between work, force, and displacement using the equation W = (Force)(displacement) and derived an angle of 35.5 degrees. The conversation highlights the importance of correctly applying the work-energy principle to determine the angle accurately. Ultimately, the correct angle is confirmed to be 35.5 degrees based on the work done.
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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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