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there are 2 ways of selecting the value of k

the first way is to take the value of k as unity (dimensionless) and with this value the units newton (SI) and dyne are defined.

the second way or another choice of constant K yields the technical unit of force.

Its numerical value if not unity but fixed at 1/gc

F=(1/gc)M.a

where gc=9.80665(kg.m)/kgf.s^2

gc is called newton conversion factor .Its value may be much more similar to acc. due to gravity, but it should be noted clear that gc remains eventhough g varies place to place.

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