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Adding force vectors and then calculating acceleration.

  1. Jul 18, 2013 #1
    1. The problem statement, all variables and given/known data

    Two forces act simultaneously on a body of mass 15 gram. The magnitudes of the
    forces are 1 Newton and 3 Newton, and the angle between them is 60° as shown. Find the
    magnitude of the acceleration of the body. Express your answer in m/s2 and to the nearest
    integer.

    50bJO.png

    2. Relevant equations

    F = ma

    3. The attempt at a solution

    The sum of the two force vectors is √{1+9+(6*1/2)} =√13 .
    Thus a =√13/(15/1000 kg) = ~240 .
    But the answer is very far off. Where have I went wrong ? Please help.
     
  2. jcsd
  3. Jul 18, 2013 #2
    I think you are correct.
     
  4. Jul 18, 2013 #3

    haruspex

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    So do I. What answer is given?
     
  5. Jul 19, 2013 #4
    The answer given is 67 .
     
  6. Jul 19, 2013 #5

    haruspex

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    You'd get that acceleration from a force of 1N on 15g.
     
  7. Jul 19, 2013 #6
    Right ! I didn't notice that . So probably its a mistake in answer sheet.
     
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