Work and the Work-Energy Principle

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Start with a mass m of kg and an initial velocity v₀= m/s.
Force angle = degrees and friction coefficient .
Work = J= N x x m.
Friction work = J= ( - )N x m.

Final kinetic energy = J = Initial KEJ + Net workJ
From the final kinetic energy, the final velocity is v = m/s.

Note: This calculation presumes that the applied force F is not sufficient to lift the block off the surface. For forces large enough to lift the block, it will give negative work for friction, which is of course incorrect.