Two forces act on a 5-kg object sitting on a frictionaless horizontal surface. One force is 30N in the +x- direction and the other 35N in the -x-direction. What is the acceleration of the object?

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  1. Net Force = Mass * Acceleration

    Set up a direction convention. Since you already declared +x and -x:

    Force (+x) + Force (-x) = Mass * Acceleration
    30N - 35N = 5kg * Acceleration
    -5N/5kg = Acceleration
    -1m/s^2 = Acceleration

    Now depending on which direction is negative (left or right?), that is the corresponding direction in which it is accelerating

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