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Newton's second law of motion
Newton used the word ``motion'' to mean what we nowadays call momentum. The
momentum of a body is simply defined as the product of its mass and its
velocity : i.e.,

(92) 
Newton's second law of motion is summed up in the equation

(93) 
where the vector represents the net influence, or force, exerted on the object, whose
motion is under investigation,
by other objects.
For the case of a object with constant mass, the above law reduces to its more conventional
form

(94) 
In other words, the net force exerted on a given object by other objects equals the product of that object's
mass and its acceleration. Of course, this law is entirely devoid of content unless we have
some independent means of quantifying the forces exerted between different objects.
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Richard Fitzpatrick
20060202