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Tensions in Two Dimensions

  1. May 7, 2009 #1
    1. The problem statement, all variables and given/known data
    A box of mass M=10 kg is at rest on a frictionless level surface (like an ideally smooth ice
    rink). A rope tied to the box is pulled horizontally, such that the tension in the rope is
    T = 75 ˆx + 25 ˆz N, where both the x-axis and the z-axis are parallel to the floor. What is the speed of the box after 0.05 seconds?

    2. Relevant equations
    Magnitude of T = (75^2 + 25^2)^(1/2) = 79 N
    weight of box = 10 kg * 9.8 m/s^2 = 98 N

    3. The attempt at a solution
    Because the weight of the box is greater than the tension force, the box should not move, right?
  2. jcsd
  3. May 7, 2009 #2


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    Homework Helper

    The weight of the box is balanced by the normal reaction of the surface.
    Using Newton's second law find the acceleration and then the velocity.
  4. May 7, 2009 #3
    I got it! Thanks so much! That ended up being much easier than I was making it!
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