FInd the work done when a cnstant force applied to an object

AI Thread Summary
To find the work done by a constant force on an object moving along a vector, the dot product of the force vector and the displacement vector must be calculated. Given the force vector F = <64, 36> and the displacement vector D = <22, -33>, the magnitude of the force was initially calculated. The next step involves computing the dot product of these two vectors to determine the work done. The dot product formula is essential for this calculation, leading to the final work value. Understanding this process is crucial for solving similar physics problems.
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Homework Statement


Find the work done when a constant force F is applied to an object that moves along a vector D where units are pounds and feet


Homework Equations



F= < 64,36 > D = < 22, -33 >

The Attempt at a Solution



I found magnitude by taking square of 64^2 + 36^2. Cant find anything else and don't know where to look!
 
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Work = dot product of force vector and displacement vector.
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...

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