A shipping clerk pushes a heavy package across the floor. He appliesa force of 64 pounds in a downward direction, making an angle of 358 with thehorizontal. If the package is moved 25 feet, how much work is done by the clerk?

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter3: Additional Topics In Trigonometry
Section3.4: Vectors And Dot Products
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A shipping clerk pushes a heavy package across the floor. He applies
a force of 64 pounds in a downward direction, making an angle of 358 with the
horizontal. If the package is moved 25 feet, how much work is done by the clerk?

Expert Solution
Step 1

Given:

A shipping clerk pushes a heavy package across the floor. He applies a force of 64 pounds in a downward direction, making an angle of 358 with the horizontal.

Step 2

Fx=Fcosθ

Plug the values:

Fx=64 cos358°

Now, the work is given by

W=64 cos358°×25    =1600cos358    =1599.03 ft-lb

 

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