If the gravitational force between objects of equal mass is 2.30 x 10^‐8 N when the objects are 10.0 m apart, what is the mass of each object?

Respuesta :

Answer:

Mass of each objects, m = 185.69 kg

Explanation:

The gravitational force between two equal masses is, [tex]F=2.3\times 10^{-8}\ N[/tex]

Separation between the masses, d = 10 m

Let m is the mass of each object. The gravitational force is given by :

[tex]F=G\dfrac{m^2}{d^2}[/tex]

[tex]m=\sqrt{\dfrac{F.d^2}{G}}[/tex]

[tex]m=\sqrt{\dfrac{2.3\times 10^{-8}\times (10)^2}{6.67\times 10^{-11}}}[/tex]

m = 185.69 kg

So, the mass of each objects is 185.69 kg. Hence, this is the required solution.