10. The Force between two objects is 2 Newtons. One object has a mass of 6.2kg.
If the distance between the center of one object to the center of the other
object is 45 meters, what is the mass of the second object? *

Respuesta :

Answer:

[tex]m_2=9.79\times 10^{12}\ kg[/tex]

Explanation:

Given that.

The force between two objects, F = 2 N

Mass of object 1, m₁ = 6.2 kg

Distance between the center of one object to the center of the other  object, r = 45 m

We need to find the mass of the second object. Using the formula of gravitational force as follows :

[tex]F=\dfrac{Gm_1m_2}{r^2}\\\\m_2=\dfrac{Fr^2}{Gm_1}\\\\m_2=\dfrac{2\times (45)^2}{6.67\times 10^{-11}\times 6.2}\\\\m_2=9.79\times 10^{12}\ kg[/tex]

So, the mass of the second object is [tex]9.79\times 10^{12}\ kg[/tex]