Two objects exert a gravitational force of 3 N on one another when they are 10 m apart. What would that forced be if the distance between the two objects were reduced to 5 m?

Respuesta :

Answer:

New force = 12 N

Explanation:

The gravitational force between two masses is given by :

[tex]F=\dfrac{Gm_1m_2}{d^2}[/tex]

Where

d is the distance between masses

Initial force, F₁ = 3 B

Initial distance, d₁ = 10 m

Final distance, d₂ = 5 m

According to the above relation,

[tex]\dfrac{F_1}{F_2}=\dfrac{r_2^2}{r_1^2}\\\\F_2=\dfrac{F_1r_1^2}{r_2^2}\\\\F_2=\dfrac{3\times 10^2}{5^2}\\\\F_2=12\ N[/tex]

So, the new force is 12 N.