Question

The gravitational force between two objects is F. If masses of both objects are halved and
distance between them is doubled, then the gravitational force would become

Answer 1

Answer:

Gravitational force (Fg) would decrease 8 times.

Step-by-step explanation:

》 Fg = G×m1×m2 / r^2 or Gm1m2 / r^2

here, G is gravitational constant

and G = 6.67 × 10^-11 m^3 kg^-1 s^-2

and m1 and m2 are masses of the two objects

and r is distance between centre of both the objects

Accordint to question,

masses of both objects are halved and r or distance between their centres is doubled then, Fg = ?.

Let's represent it in the Formula.

Fg = G×(m1/2)×(m2/2) / 2r^2

= (G×m1×m2 / 4) / 2r^2

= Gm1m2 / 8r^2

Now , if we look into the original formula

Fg = G×m1×m2 / r^2

Here we can observe that

Fg is directly proportional to m1 and m2

and Fg is inversely proportional to r

"Hence , if masses of the objects increases the Fg will also increase and if masses of the objects decrease the Fg will also decrease. Whereas when r increases Fg decreases and when r decreases Fg increases. "

I hope it will be helpful.