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?

Respuesta :

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

[tex]F=\frac{GmM}{r^2}[/tex]

*Here 'r' is the distance

Substitute the known values in the above expression as

[tex]\begin{gathered} 1.8\times10^{-6}=\frac{(6.67\times10^{-11})(8.1\times10^5)(9.5\times10^4)}{r^2} \\ r=1.68\times10^3\text{ m} \end{gathered}[/tex]

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