Question

What change Occus in the force of gravitation bet
two object in the
of each obrich is doublet
and the distance between the educed to
one fourth Show by calculation [Hint new mass equals to 2m1 and 2m2 new distance equals to 3/4]​

Answer 1

Answer:

The formula for gravitational force of attraction is,

Fg= GMm/r^2 [ let this be equation 1]

r^2 is the distance between the centres of two objects. Now, the distance is doubled, then

Fg'= GMm/(2r)^2

Fg' = GMm/4r^2 [ let this be equation 2]

Dividing equation 2 by 1

Fg'/Fg = GMm÷4r^2/GMm÷r^2

= GMm/4r^2× r^2/GMm

= 1/4

So, Fg'= 1/4×Fg

Therefore, the force of attraction will be 1/4 times the original force.

The force of gravitation between two objects is inversely proportional to the square of the distance between them therefore the gravity will become four times if distance between them is reduced to half.

Answer 2

16/9 is the answer

just apply gavitation formula properly