Question

A distance of 2.00 mm separates two objects of equal mass. If the gravitational force between them is 0.0104 N, find the mass of each object

Answer 1

F = $\frac{gm,m2}{r2}$
r = 0.002

0.0104 = $\frac{(6.673 x 10^{-11} }{ 0.002)^{2} }$

m = 25.0kg

Answer 2

Answer:

Mass of both objects, m = 24.97 Kg

Explanation:

It is given that,

Distance between masses, d = 2 mm = 0.002 m

Gravitational force between masses, F = 0.0104 N

Let m is the mass of both the objects. We know that the gravitational force between masses is given by the following relation as :

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

$m=\sqrt{\dfrac{Fd^2}{G}}$          

$m=\sqrt{\dfrac{0.0104\times (0.002)^2}{6.67\times 10^{-11}}}$    

m = 24.97 Kg

So, the masses of both the object is 24.97 Kg. Hence, this is the required solution.