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 =
`(gm,m2)/(r2)`
r = 0.002

0.0104 =
`((6.673 x 10^(-11) )/( 0.002)^(2) )`

m = 25.0kg

Answer 2

Mass of both objects, m = 24.97 Kg

Step-by-step 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(m^2)/(d^2)`

`m=\sqrt{(Fd^2)/(G)}`

`m=\sqrt{(0.0104* (0.002)^2)/(6.67* 10^(-11))}`

m = 24.97 Kg

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