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Force Applied at an Angle to an Object on Frictionless Surface

  1. Sep 28, 2013 #1
    1. The problem statement, all variables and given/known data
    The horizontal surface on which the block slides is frictionless. If F = 20 N and M = 5.0 kg, what is the magnitude of the resulting acceleration of the block? The force is applied 30° to the horizontal.


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


    3. The attempt at a solution
    I began by ignoring the weight and normal force in the vertical axis (y-axis) because the surface is frictionless. Then my next step is to separate the force into compenets with [itex]F_{x}=Fcos\theta[/itex]

    Therefore:
    [itex]ƩF_{x}=Fcos\theta = ma_{x}[/itex]

    So:
    [itex]a_{x}=\frac{Fcos\theta}{m}[/itex]

    And using the given numbers I got a solution of 3.46[itex]\frac{m}{s^2}[/itex]
    But the online system I am using shows the correct answer as 7.5[itex]\frac{m}{s^2}[/itex]
     

    Attached Files:

    Last edited: Sep 28, 2013
  2. jcsd
  3. Sep 28, 2013 #2

    tiny-tim

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    hi jpsmith394! welcome to pf! :smile:

    erm :redface: … you forgot the other F, in front! :wink:
     
  4. Sep 28, 2013 #3
    Oh gosh I see now, I was just stuck thinking it was just a single force :surprised

    Thanks,
    James
     
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