Calculating Work done by a force

AI Thread Summary
The discussion focuses on calculating work done by a force using the formula W = Fd. The user struggles with determining the force vector F and the displacement vector d based on given coordinates. They identify the force as 5 lbs directed along the vector 3i + 2j and seek clarification on how to express the displacement from (0,0) to (0,4). The conversation highlights the need to understand vector components and their roles in calculating work. Overall, the user is looking for guidance on applying these concepts to solve the problem effectively.
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Homework Statement


[URL]http://einstein.math.fsu.edu:9080/testbanks/wiley/math/1114ptF08/cch/images/qu.215.9.question.gif[/URL]

Homework Equations


I know that
W = Fd where here it is
W = F * {\rightarrow}{\}AB

Also, that

(im sorry, this looks really ugly)
\stackrel{v\rightarrow}{} = ||v||(cos\alpha\stackrel{i\rightarrow}{}+sin\alpha\stackrel{j\rightarrow}{})
||v|| = sqrt(a2+b2)


The Attempt at a Solution


I get stuck fairly quickly on this problem, my professor never went on it in class.

using the second equation, I get to the point of

v = (sqrt13)(cos+sin)

I am not sure what goes into the cos and sin portion of the problem, I am assuming it has something to do with the coordinates it gives, but other than that, I have no idea.
 
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Ok, so your force is 5lbs in the direction of 3i+2j, so what is your force vector F?

The displacement is from (0,0) to (0,4), what is you displacement vector d equal to?
 

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