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  ℓ = 0.65 m  as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.360 and he exerts a constant horizontal force of 279 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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Chapter1: Units, Trigonometry. And Vectors
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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 

ℓ = 0.65 m

 as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.360 and he exerts a constant horizontal force of 279 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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