How much work is done? (Frictionless plane, xy coodrinates)

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AI Thread Summary
The discussion revolves around calculating the work done by a constant force on a coin sliding across a frictionless plane from the origin to the coordinates (1.5 m, 4.5 m). The force has a magnitude of 7.8 N and is directed at a 105° angle from the positive x-axis. The user initially attempted to use the equation Fxdx + Fydy = W but encountered difficulties with the calculations. After some back-and-forth, the user ultimately resolved the issue independently. The conversation highlights the importance of correctly breaking down force components and applying them to the work equation.
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Homework Statement



A coin slides over a frictionless plane and across an xy coordinate system from the origin to a point with xy coordinates (1.5 m, 4.5 m) while a constant force acts on it. The force has magnitude 7.8 N and is directed at a counterclockwise angle of 105° from the positive direction of the x axis. How much work is done by the force on the coin during the displacement?

Homework Equations



I used the equation Fxdx + Fydy = W


The Attempt at a Solution



I used cosine and sine to find the x and y components of the Force. And the x and y coordinates for the displacement were already given. I figured everything would work when I plug those in, but I had no luck. Any idea what I did wrong?
 
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What did you do exactly?
 
If you give what you did exactly, and what answers you got it would be easier to help you. You have the right idea, just aren't executing it properly.
 
Thanks for trying to help - sorry for the lack of information. But I figured it out.
 

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