The question with all the info is:(adsbygoogle = window.adsbygoogle || []).push({});

A force F = (6x i + 5y j) N acts on an object as it moves in the x direction from the origin to x = 5.04 m. Find the work (work = integral of F (dot product) dx done on the object by the force.

I am confused as to what dx would be in this equation, and how to find it.

The work that I've done so far is (using an equation from my book) W= F(dot product) change in x. First off, will this equation even work? Its a little different than the first one I wrote. But second, since the dot product is used for two vectors i wrote the change in x part of that equation as a vector <5.04, 0>. So taking <5.04, 0> (dot product) <6x, 5y> = 30.42x. I don't think there should be a variable in my answer so I tried to answer with 30.42 but that isn't correct.

I have a feeling that I am far off base with what I've done so far. Please help, thank you.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Work done on a force using dot product

**Physics Forums | Science Articles, Homework Help, Discussion**