Explanation:
the value of acceleration due to gravity on the surface of the earth is
[tex]g=9.8\text{ m/s}^2[/tex]as we know, the gravity is related as,
[tex]g=\frac{GM}{R^2}[/tex]Here,
[tex]G=6.67\times10^{-11}\text{ N m}^2\text{ /kg}^2[/tex]is a Gravitational constant,
[tex]m=5.972\times10^{24}\text{ kg}[/tex]is the mass of the earth and
[tex]R=6.371\times10^3\text{ Km}[/tex]is the radius of the earth,
After plugging all the values in the above relation we get
[tex]\begin{gathered} g=\frac{6.67\times10^{-11}Nm^2/kg^2\times5.972\times10^{24}kg}{6.371\times10^6\text{ m}}\text{ } \\ g\approx9.8\text{ m/s}^2 \end{gathered}[/tex]Thus, we get acceleration due to gravity is
[tex]9.8\text{ m/s}^2[/tex]