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Crate pushed up an inclined plane

  1. Apr 5, 2016 #1
    1. The problem statement, all variables and given/known data
    A warehouse worker pushes a crate of mass 24 kg up a ramp. Assume that the friction between the crate and ramp can be ignored.
    a) Determine the component of gravitational force directed along the ramp's surface.
    b) Calculate the force required to move the crate at a constant speed up the ramp.
    c) Calculate the work done in pushing the crate 23 m as measured along the ramp. Assume the crate moves at a constant velocity.
    d) Assume the coefficient of kinetic friction between the crate and the ramp is μk = 0.25. Calculate the work done on the crate by the worker and by friction, and calculate the total work done as the worker pushes the crate 16 m up the ramp.


    2. Relevant equations


    3. The attempt at a solution
    for (a) I got 235N (just multiplied mass by 9.81) but the answer is 120N
     
  2. jcsd
  3. Apr 5, 2016 #2

    Doc Al

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    Staff: Mentor

    That would be the crate's weight. But they are asking for a component of the weight. (What angle does the ramp make with the horizontal?)
     
  4. Apr 5, 2016 #3
    30 degrees
     
  5. Apr 5, 2016 #4

    Doc Al

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    Staff: Mentor

    OK. Now draw yourself a diagram. Use it and a little trig to find the components of the weight parallel and perpendicular to the incline.
     
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