Question

calculate the value of g​

Answer 1

Explanation:

g = G$\frac{M}{r²}$

g = $\frac{6.67×10^{-11}×6×10^{24}}{(6.4×10^{6})^{2}}$ m/s²

= $\frac{6.67×6}{6.4×6.4}$×$\frac{10^{-11}×10^{24}}{10^{12}}$

= $\frac{667×6}{64×64}$×$10^{24-12-11}$

= $\frac{4002}{4096}$×10

= 9.77 m/s² ≈ 9.8 m/s²

Answer 2

If the value 6.38x106 m (a typical earth radius value) is used for the distance from Earth's center, then g will be calculated to be 9.8 m/s2.