Question

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?

Answer 1

Answer:

Mass of each objects, m = 185.69 kg

Explanation:

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

Separation between the masses, d = 10 m

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

$F=G\dfrac{m^2}{d^2}$

$m=\sqrt{\dfrac{F.d^2}{G}}$

$m=\sqrt{\dfrac{2.3\times 10^{-8}\times (10)^2}{6.67\times 10^{-11}}}$

m = 185.69 kg

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