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Two spherical objects have masses of 1.5 x 105 kg and 8.5 x 102 kg. Their centers are separated by a distance of 2500 m. Find the gravitational attraction between them.

Sagot :

Given data

*The mass of the first spherical object is m = 1.5 × 10^5 kg

*The mass of the second spherical object is M = 8.5 × 10^2 kg

*The separated distance between the two spherical objects is r = 2500 m

The expression for the gravitational attraction between them is given as

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

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

Substitute the known values in the above expression as

[tex]\begin{gathered} F=\frac{(6.67\times10^{-11})(1.5\times10^5)(8.5\times10^2)}{(2500)^2} \\ =1.36\times10^{-9}\text{ N} \end{gathered}[/tex]

Hence, the gravitational attraction between them is F = 1.36 × 10^-9 N