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Math Help - vectors and mass

  1. #1
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    Question vectors and mass

    A particle of mass m kg is acted on by two forces F1 and F2 with magnitudes 3root5 newtons and root5 newtons ad drections parallel to the vectors i+2j and i-2j respectively

    The particle is initially at a position given by vector 2i+j

    iv calculated the cartesian components of F1 and F2
    F1 = 3i+6j
    F2 = i 2j

    iv also calculated the cartesian component of the total force F1+F2 = (3i+6j)+(i-2j) = 4i +4j

    however the part im struggling on is that now the particle is of mass 1kg and is initially at rest, i have to use newtons 2nd law to write down an equation of motion and find the position of the particle after 1second.

    so far iv tried:
    F=ma
    F1+F2= 1a
    therefore a = 4i+4j but then i dont know how to find the new posistion ...can anyonehelp thankz
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  2. #2
    Super Member malaygoel's Avatar
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    Quote Originally Posted by dopi
    A particle of mass m kg is acted on by two forces F1 and F2 with magnitudes 3root5 newtons and root5 newtons ad drections parallel to the vectors i+2j and i-2j respectively

    The particle is initially at a position given by vector 2i+j

    iv calculated the cartesian components of F1 and F2
    F1 = 3i+6j
    F2 = i 2j

    iv also calculated the cartesian component of the total force F1+F2 = (3i+6j)+(i-2j) = 4i +4j

    however the part im struggling on is that now the particle is of mass 1kg and is initially at rest, i have to use newtons 2nd law to write down an equation of motion and find the position of the particle after 1second.

    so far iv tried:
    F=ma
    F1+F2= 1a
    therefore a = 4i+4j but then i dont know how to find the new posistion ...can anyonehelp thankz
    You have got the acceleration right.
    You can use the equation x_f=x_i + v_it + \frac{1}{2}at^2, v_i=0, t=1
    Substituting the value, you get
    x_f=4i + 3j

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    Malay
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  3. #3
    Member
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    Question .thankz

    .........................thankz
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