Question

Two spherical objects have masses of 8.1 * 10^5 Kg and 9.5 * 10^4 Kg. The gravitational attraction between them is 1.8 * 10^-6 N. How far apart are their centers?

Answer 1

Given data

*The given mass of the spherical object is m = 8.1 × 10^5 kg

*The other mass of the spherical object is M = 9.5 × 10^4 kg

*The gravitational attraction between them is F = 1.8 × 10^-6 N

*The value of the gravitational constant is G = 6.67 × 10^-11 N.m^2/kg^2

The formula for the gravitational distance is given as

`F=(GmM)/(r^2)`

*Here 'r' is the distance

Substitute the known values in the above expression as

`\begin{gathered} 1.8*10^(-6)=((6.67*10^(-11))(8.1*10^5)(9.5*10^4))/(r^2) \\ r=1.68*10^3\text{ m} \end{gathered}`