Given that,
The earth's moon has a gravitational field strength of about 1.6 n/kg
Mass of Moon, [tex]M=7.35\times 10^{22}\ kg[/tex]
To find,
The radius of the Moon.
Solution,
The formula for the acceleration due to gravity is given by :
[tex]g=\dfrac{GM}{r^2}[/tex]
r is radius of the Moon
[tex]r=\sqrt{\dfrac{GM}{g}} \\\\r=\sqrt{\dfrac{6.67\times 10^{-11}\times 7.35\times 10^{22}}{1.6}} \\\\r=1750437.44\ m\\\\r=1.75\times 10^6\ m[/tex]
So, the radius of the Moon is [tex]1.75\times 10^6\ m[/tex].
