Question

Write the units of 'G'and 'g '.

Answer 1

We know that G is the Universal Constant of the Gravitation.

∵ F = Gm₁m₂/r²

∴ G = Fr²/m₁m₂

∴ G = N (m)²/kg.kg

⇒ G = Nm²/kg²

∴ G = Nm²kg⁻²

Hence, the unit of the Universal Constant of Gravitation is Nm²kg⁻².

Now, F = mg

∴ g = F/m

⇒ g = N/kg

⇒ g = kgm/s² . kg

∴ g = m/s²

Hence, the unit of the constant of gravitation is N kg⁻¹.

Hope it helps.

Answer 2

The unit of acceleration due to gravity (g) is m/s^2