Show that S.I unit of gravitations constant G is Nm²kg_² from Newton,s law of gravitation.
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SI units:-
F=force(N) ; d= distance(metre) ; m=mass(kg)
DERIVATION:-
F=G M×m/d^2
F×d^2=G M×m
G=F d^2/M×m
G=Nm^2/kg^2
G=Nm^2 kg^-2
Therefore,the Si unit of the universal gravitation constant(G) is Nm^2 kg ^-2.
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