Derivation of the Maximum Acceleration of an Object

 
F = ma Force = mass * acceleration
F = Friction a = gravity
Uk = Friction/Fnormal Uk = kinetic coefficient of friction
Uk = ma/mg Fnormal = mg = weight of the object
Uk = a/g Masses cancel out
amax = Uk * g Multiply both sides by g

amax = Uk * g

 

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