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Newton's Law Problem

  1. Sep 19, 2011 #1
    1. The problem statement, all variables and given/known data

    A child holds a sled on a frictionless, snow-covered hill, inclined at an angle of 25 degrees.If the sled weighs 56 N, find the force exerted on the rope by the child.

    2. Relevant equations
    [itex]\Sigma[/itex]F=ma


    3. The attempt at a solution
    I set up a right triangle with 56N as the hypotenuse. I then figured the x component of force, or the force exerted on the rope by the child, to be 56sin25. I got 23.67N but when I submitted this it was wrong am I missing something here.

    IMAG0053.jpg
     
    Last edited: Sep 19, 2011
  2. jcsd
  3. Sep 19, 2011 #2

    Delphi51

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    Homework Helper

    That answer looks right to me.
    The method is not. The 56 N acts straight down, and 56*sin(25) is the component acting downward along the hill. An equal force upward along the hill is needed to cancel it.
     
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