We take k as constant of proportionality in F=ma ( where k is 1). But, we take G in F= M×m/d^2. Why? Why can't we take G as 1 pr take k?
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In the formula F is directly proportional to m×a. here we use k as a constant.
This formulation is derived from the second law of motion stated by Newton
says that acceleration is direclty proportional to force acted upon an object and inversely to mass of an object thus force is working in influence of mass and acceleration not gravtitaion.
and in the the relation between mass of object and its distance that is F is direclty proportional to M1M1l2/d2
there is a force working in the influence of gravity and its value is fixed
Thats why we use g in the formula mention just above and k in formula mentioned at top kf this answer.
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