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A 40.0 kg wagon is towed up a hill inclined at 17.9° with respect to the horizontal. The tow rope is parallel to the incline and has a tension of 140 N. Assume that the wagon starts from rest at the bottom of the hill, and neglect friction. How fast is the wagon going after moving 75 m up the hill?

  • physics -

    The central thing is to find the net force, up, then the acceleration, then the distance.

    net force up=140-40g*sinTheta
    acceleration= net force up/mass

    Work done on gravity=mg*75*sinTheta
    Work done by pulling=140*75
    Kinetic energy=1/2 m v^2

    so
    140*75=1/2 mv^2+mg*75*sinTheta

    and you solve for v.

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