Question

Two small masses when 10cm apart attract each other with a force F newton,when 5cm apart,these masses will attract with a force (F/2)N (F/4)N (2F)N (4F)N

Answer 1

Here the force of attraction between the two objects is the gravitational force ...
And we know
$F_{g}$ ∝[tex] \frac{1}{r^2} [/tex]

According to question we can solve this way...

$F$∝$\frac{1}{10^2cm}$
$F$∝ $\frac{1}{100cm}$
$4F$∝$\frac{1}{25cm}$
$4F$∝$\frac{1}{5^2cm}$

Thus the answer will be 4F(N)