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15 January, 13:49

An object is pulled along the ground by exerting a force of 35 pounds a rope that makes a 10° angle with the ground. How much work is done dragging the object 13 feet?

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  1. 15 January, 15:19
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    Workdone = 601.33 Nm

    Explanation:

    Workdone = Force (F) x horizontal distance (d).

    Wordone = F x d

    Where F is the horizontal component of the force

    Force = 35 pounds

    Recall that;

    1 pound force = 4.4N

    => 35 pounds = 35 x 4.4N = 154N

    => Force = 154N

    But since the rope makes a 10⁰ angle with the ground,

    The horizontal component of the force F is Force x cos10⁰

    => F = 154 cos 10⁰

    => F = 154 x 0.9848

    => F = 151.66N

    Horizontal distance (d) = 13 feet

    Recall that;

    1 foot = 0.305m

    => 13 feet = 13 x 0.305m = 3.965m

    => d = 3.965m

    => Substituting the values of F and d into the equation above, we have;

    Workdone = F x d

    Workdone = 151.66N x 3.965m

    Workdone = 601.33Nm
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