Find the work done by a force of 8 pounds acting in the direction of 44° to the horizontal in moving an object 7 feet from (0, 0) to (7, 0). Round answer to the nearest tenth of a foot-pound.

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Physics

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28 April, 12:20

Find the work done by a force of 8 pounds acting in the direction of 44° to the horizontal in moving an object 7 feet from (0, 0) to (7, 0). Round answer to the nearest tenth of a foot-pound.

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Kyle Bond · Answer 1

40.3 ft-lbs

Explanation:

Work = Force•Distance = (Force) (Distance) (cosΘ)

Note what you know and/or don't know. In this case:

Force = 8lbs

Distance = 7ft

Θ = 44°

So with that and the formula of work above, we can say:

Work = (8lbs) (7ft) (cos44°) = 40.28 ... ft-lbs

When rounded you have 40.3 ft-lbs of work done by the force.

Side note: Just to be clear, the formula Force•Distance is said as Force "dot" Distance. It's a dot product and not just a multiplication sign; which is why the angle is important to know.

Force*Distance is said as Force "cross" Distance, which relates to a different kind of force and has a slightly different formula.