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A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.860 m/s encounters a rough horizontal surface of length = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.355 and he exerts a constant horizontal force of 300 N on the crate, find the following.

Find the magnitude and direction of the net force on the crate while it is on the rough surface.

  • college physics -

    The net force in the "rough patch" is the pushing force minus the kinetic friction force.

    Fnet = 300 - M*g*0.355 = -20 N

    The crate will decelerate at a rate
    a = Fnet/M = 3.38 m/s^2
    It will continue moving for a time
    t = Vo/a = 0.254 seconds, at which time it will stop after traveling 0.11 meters
    The applied force will not be enough to move it farther.

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