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Please help: A box on a frictionless plane, find the power based on work and

  1. Feb 13, 2008 #1
    [SOLVED] Please help: A box on a frictionless plane, find the power based on work and

    1. The problem statement, all variables and given/known data

    A box of mass M = 7.68 kg is at rest at the bottom of a frictionless inclined plane.


    The box is attached to a string that pulls with a constant tension T = 113 N. Write the general equation that gives the work done by the tension when the box has moved a distance x along the plane. Now, find the speed of the box as a function of x and the angle of the plane. Finally, for a distance of x = 6.38 m and an angle of 30.5°, determine the power delivered by the tension in the string as a function of x.

    2. Relevant equations

    [tex]K=\frac{1}{2}mv^{2}[/tex]
    [tex]P=FV[/tex]

    3. The attempt at a solution

    I know I am supposed to multiply the net force by velocity for the last part, but I need to find the velocity.

    I figured I could use kinetic energy to find the velocity using the ke work theorem. So...

    [tex]KE_{f}-KE_{i}=W[/tex]

    And since the initial energy is 0

    [tex]KE_{f}=W[/tex]

    Am I on the right track?

    ----------------------
    Edit: Solved

    Here's the final equation I derived:

    [tex]P=T\sqrt{\frac{2x(T-mgsin\theta)}{m}}[/tex]
     
    Last edited: Feb 13, 2008
  2. jcsd
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