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March 24, 2017

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Only two horizontal forces act on a 3.0 kg body that can move over a frictionless floor. One force is 9.0 N, acting due east, and the other is 6.9 N, acting 54° north of west. What is the magnitude of the body's acceleration?

  • physical - ,

    Add the two force vectors.

    The components are:
    East: 9.0 - 6.9 cos54 = 4.944 N
    North: 6.0 sin 54 = 4.864 N

    Then calculate the magnitude of the resultant.

    sqrt[(4.944)^2 + (4.864)^2] = ___

    Divide that by the mass to get the acceleration, in m/s^2.

  • physical - ,

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