A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.855 m/s encounters a rough horizontal surface of length ℓ = 0.65 m. If the coefficient of kinetic friction between the crate and rough surface is 0.357 and he exerts a constant horizontal force of 277 N on the crate, find the magnitude and direction of the net force on the crate while it is on the rough surface.

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