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A man pushing a crate of mass m = 92.0 kg at a speed of v...

A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.845 m/s encounters a rough horizontal surface of length ℓ = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.357 and he exerts a constant horizontal force of 292 N on the crate. A man pushes a crate labeled m, which moves with a velocity vector v to the right, on a horizontal surface. The horizontal surface is textured from the right edge of the crate to a horizontal distance ℓ from the right edge of the crate.

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

(b) Find the net work done on the crate while it is on the rough surface. J

(c) Find the speed of the crate when it reaches the end of the rough surface. m/s

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