contestada

The gravitational force between two objects is 2400 N. What will be the gravitational force between the objects if the mass of one object is doubled?

600 N
1200 N
4800 N
9600 N

Respuesta :

4800N 100%
(2m1m2/r^2)/(m1m2/r^2)

By definition, the gravitational force of two objects is given by:

[tex] F = G * \frac{m1m2}{r ^ 2}
[/tex]

Where,

G: gravitational constant

m1: object number 1

m2: object number 2

r: distance between objects

Suppose that one of the masses is twice its initial value.

We have then:

[tex] F = G * \frac{(2m1)m2}{r ^ 2}
[/tex]

Rewriting the equation we have:

[tex] F' = 2*(G * \frac{m1m2}{r ^ 2})

F'=2F
[/tex]

Substituting values:

[tex] F '= 2 (2400)

F '= 4800 N
[/tex]

Answer:

the gravitational force between the objects if the mass of one object is doubled is:

4800 N