Question 14 Marks
Find the acceleration due to gravity of the moon at a point 1000km above the moon's surface. The mass of the moon is 7.4 × 1022kg and its radius is 1740km.
Answer
View full question & answer→$\frac{\text{GM}}{(\text{R+h})^2}=\frac{6.67\times10^{-11}\times7.4\times10^{22}}{(1740+1000)^2\times10^6}$
$=\frac{49.358\times10^{11}}{2740\times2740\times10^6}$
$=\frac{49.358\times10^{11}}{0.75\times10^{13}}$
$=65.8\times10^{-2}=0.65\text{m/s}^2$