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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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  1. 28 April, 14:58
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    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.
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