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Math Help - Work & Vectors

  1. #1
    Junior Member NAPA55's Avatar
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    Work & Vectors

    Can't figure this one out...

    A 35 kg trunk is dragged 10m up a ramp inclined at an angle of 12 to the horizontal by a force of 90N applied at an agle of 20 to the ramp. At the top of the ramp, the trunk is dragged horizontally by the same force for 15 m. Find the total work done.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by NAPA55 View Post
    Can't figure this one out...

    A 35 kg trunk is dragged 10m up a ramp inclined at an angle of 12 to the horizontal by a force of 90N applied at an agle of 20 to the ramp. At the top of the ramp, the trunk is dragged horizontally by the same force for 15 m. Find the total work done.
    Split the problem into two parts.

    The force up the incline is constant. The displacement up directed up the slope, so
    W = \vec{F} \cdot \vec{s} = Fs~cos(\theta)
    where \theta is the angle the force makes with the displacement.

    For the second (flat) part, note that the force is now parallel to the displacment. Apply the same formula. Then add the two answers.

    -Dan
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