What angle between force and displacement gives 12500 J of work?

[x3lifelove]

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.

 

[ehild]

I get a answer of 87.9 degrees.

How did you get that angle?

ehild

 

[x3lifelove]

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.

 

[jhae2.718]

What is the equation that relates work, force, and displacement? Use it to solve for the angle.

 

[x3lifelove]

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

 

[jhae2.718]

That looks right.