Question

the earth's moon has a gravitational field strength of about 1.6 n/kg near its surface. the moon has a mass of 7.35x10^22 kg. what is the radius of the moon?​

Answer 1

Given that,

The earth's moon has a gravitational field strength of about 1.6 n/kg

Mass of Moon,
`M=7.35* 10^(22)\ kg`

To find,

The radius of the Moon.

Solution,

The formula for the acceleration due to gravity is given by :

`g=(GM)/(r^2)`

r is radius of the Moon

`r=\sqrt{(GM)/(g)} \\\\r=\sqrt{(6.67* 10^(-11)* 7.35* 10^(22))/(1.6)} \\\\r=1750437.44\ m\\\\r=1.75* 10^6\ m`

So, the radius of the Moon is
`1.75* 10^6\ m`.