Question

Find the value of G from the following data :
M = 6 x 10²⁴ kg, R = 6400 km, g = 9.774 m/s²
(Ans : 6,672 x 10⁻¹¹ Nm² / kg²)

Answer 1

The value of gravitational constant is $6.672\times 10^{-11}\ Nm^2/kg^2$.

Explanation:

Given that,

Mass, $M=6\times 10^{24}\ kg$

Radius, $R=6400\ km=64\times 10^5\ m$

Acceleration due to gravity, $g=9.774 \ m/s^2$

To find,

Value of G.

Solution,

The acceleration due to gravity on any planet or surface can be calculated as :

$g=\dfrac{GM}{R^2}$

$G=\dfrac{gR^2}{M}$

$G=\dfrac{9.774 \times (64\times 10^5)^2}{6\times 10^{24}}$

$G=6.672\times 10^{-11}\ Nm^2/kg^2$

So, the value of gravitational constant is $6.672\times 10^{-11}\ Nm^2/kg^2$.

Learn more,

Gravitational force

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