A package is pushed across the floor a distance of 90 feet by exerting a force of 32 lbs downward at an angle of 24 ∘ with the horizontal. How much work is done? Round to the nearest foot pound.

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Physics

21 December, 20:41

A package is pushed across the floor a distance of 90 feet by exerting a force of 32 lbs downward at an angle of 24 ∘ with the horizontal. How much work is done? Round to the nearest foot pound.

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Answers (1)

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Chasity Marquez · Answer 1

2632 foot-pound

Explanation:

Work done: Work is said to be done when ever a force moves a body through a given distance. The S. I unit of force is Newton (N).

From the question,

The expression for work done is given as,

W = Fdcos∅ ... Equation 1

Where W = work done, F = force, d = distance, ∅ = angle between the force and the horizontal.

Given: F = 32 lbs, d = 90 feet, ∅ = 24°

substitute into equation 1

W = 32*90*cos24

W = 2880 (0.914)

W = 2632.32

W = 2632 foot-pound