Student Librarian Does Work on Book

AI Thread Summary
The discussion focuses on calculating the work done by a student librarian when moving a 22N book. The key formula for work is clarified as W = Fdcos(θ), emphasizing that only the force component in the direction of displacement contributes to work. The librarian lifts the book to a height of 1.25m and carries it 8.0m before placing it on a shelf at 1.35m. Participants discuss the need to consider the angles involved in the movements to accurately compute the work done. Understanding the correct application of the work formula is essential for solving the problem.
Iceclover
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Homework Statement


a student librarian picks up a 22N book from the floor to a height of 1.25m. He carries the book 8.0m to the stacks and places the book on a shelf that is 1.35m high. How much work does he do on the book


Homework Equations



W=Fd

The Attempt at a Solution



Am i just supposed to add up all the distances and then use my W=Fd formula?
 
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Iceclover said:

Homework Statement


a student librarian picks up a 22N book from the floor to a height of 1.25m. He carries the book 8.0m to the stacks and places the book on a shelf that is 1.35m high. How much work does he do on the book


Homework Equations



W=Fd

The Attempt at a Solution



Am i just supposed to add up all the distances and then use my W=Fd formula?
Your formula for work is not quite correct. Only the component of the force in the direction of the displacement does work.For example, to find our how much work is done in carrying the book 8.0 meters to the stacks, answer the following question: How much force acts in the direction of the 8 meter displacement?
 
what is the correct formula for work then?
 
Iceclover said:
what is the correct formula for work then?
W = Fdcos\theta
where \theta is the included angle between the force vector and the displacement vector.
 
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