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## Answers

__Gm1×m2__

r²

F=Gm1×m2/r²⇒G=Fr²/m1×m2

G=[MLT-²] [L²]/[M2] as force dimensional formula is M1L1T-2

G=[M-1L³T-2]

Fr∧2= G m1 m2

divided by side m1 m2

of force is measured in newtons ; r in meters ; m1 m2 in kg

[units of G] = Nm∧2/kg∧2

Newton isn't a base unit, so let's pull out the equation from Newtons' Second Law:

FORCE=MASS * ACCELERATION

N= Kg * m/s∧2

substituting that equation for N

[units of G] =(kg.m/s∧2)(m∧2/kg∧2)

[units of G] = m∧3/(kg.s∧2)

[units of G]=m∧3.kg∧-1s∧-2

in term of [M],[L] AND[T]

**DIMENSTIONS OF GRAVITATION CONSTANT=G=[L]∧3.[M]∧-1.[T]∧-2**