Help finding the work done given 3 different distances?

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The problem involves calculating the work done by a student lifting a book weighing 0.95 N to different heights and distances. The correct approach focuses on the vertical lifts, as work is only done against gravity when the book is raised. The work done in lifting the book to 1.25 m is 1.1875 J, and lifting it further to 2.0 m from 1.25 m adds an additional 0.7125 J. The horizontal movement of 8.0 m does not contribute to work done against gravity, as the force does not act in the direction of displacement. Therefore, the total work done is 1.9 J, not 10.7 J as initially calculated.
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Homework Statement



a student lifts a book of 0.95 N to a height of 1.25 m. Then the student carries the book to a shelf at a distance of 8.0 m and places it at a height of 2.0 m. How much work did the student realize over the book?

Homework Equations


W = Fd


The Attempt at a Solution



.95 N * 1.25 m + .95 N * 2.0 m + .95 N * 8.0 m = 1.2 + 1.9 + 7.6 = 10.7 J

Is this correct?
 
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No, since the only force in question here is weight force, and it doesn't do work at every displacement in the problem. It does for the lift from ground to 1.25m, but across the distance of 8.0m, does the force do any work? Think about the equation:
$$W = Fdcos\theta$$
Also, for the lift to 2.0m, you're misinterpreting the displacement. It says it's lifted to a height of 2.0m, not that the displacement is 2.0m. It starts at a height of 1.25m (from the first part), and then it's moved from there to 2.0m.
 
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