Question

calculate the acceleration due to gravity on the surface of satellite having a mass of 7.4 x 1022 kg and a radius of 1.74 x 106 m . which satellite do you think it could be

Answer 1

Dear Student ,
Here in this question the given data is ,
M_s =$7·4\times {10}^{22}Kg$
R_s =$1·74\times {10}^{6}m$
Let us take that a body of mass is m and the acceleration due to gravity on the satellite is g_s .
From the theory of gravitation , we know that ,
$$\begin{gathered} m{g}_s=\frac{G{M}_{s}m}{{R_s}^2} \\ \Rightarrow g_s=\frac{G{M}_s}{{R_s}^2}=\frac{6·67\times {10}^{-11}\times 7·4\times {10}^{22}}{{\left(1·74\times {10}^6\right)}^2}=1·63m/s^2 \end{gathered}$$
Regards