G = 6.67 × 10–11 N m2 (kg)–2 =.... (cm)3 s–2 g–1.


Here the value of a constant ‘G’ is given. We have to express it given unit.


Note: ‘G’ is known as Universal Gravitational Constant. Its value is constant all over the universe.


G = 6.67 × 10-11 Nm2kg-2


Where, N = Newton


m = metre


Kg = Kilogram


‘N’ can be rewritten as


N = kg × ms-2


Substitute this value in ‘G’


G = 6.67 × 10-11 Nm2kg-2


= 6.67 × 10-11 kg × ms-2 × kg-2


= 6.67 × 10-11 kg-1 m3 s-2


= 6.67 × 10-11 × (102)3 × (10-3)2


= 6.67 × 10-11 cm3 g-1 s-2


G = 6.67 × 10–11 N m2 (kg)–2 = 6.67 × 10-11 (cm)3 s–2 g–1


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