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8 September, 16:51

A woman exerts a total force of 7 pounds in a horizontal direction on a box as she pushes it up a ramp that is 10 feet long and inclined at an angle of 30 degrees above the horizontal. Find the work done on the box.

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  1. 8 September, 17:05
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    W = 60.62 ft-lbs

    Explanation:

    given,

    Horizontal force = 7 lb

    distance of push, d = 10 ft

    angle of ramp, θ = 30°

    Work done on the box = ?

    We know,

    Work done is equal to force into displacement.

    W = F. d cos θ

    W = 7 x 10 x cos 30°

    W = 70 x 0.8660

    W = 60.62 ft-lbs

    Hence, work done on the box is equal to W = 60.62 ft-lbs
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