Question

if two objects of 45 kg and 47 kg respectively are attracted towards each other by a gravitational force of 250 ×10^7 N .. find the distance between their centres .​

Answer 1

Given:

• Two objects of 45 kg and 47 kg.
• Gravitational force: 250 × 10^-7 N.

To Find:

Distance between their centres.

Solution:

Here we used the formula of Fg.

$\sf\ Fg :- G m1m2/r^2$

$\sf\ r^2 :- Gm1m2/Fg$

= $\sf\Large\ \frac{6.67×10^-11×45×47}{250×10^-7}$

= $\sf\Large\ \frac{6.67×45×47×10^-11+7}{250}$

= $\sf\Large\ \frac{14,107.05×10^-4}{250}$

= $\sf\ 56.4282 ×10^-4$

$\sf\ r^2 = \sqrt{56.4282×10^-4}$

$\sf\ = 7.5×10^-2m \:(approx)$

$\dashrightarrow\: \underline{\boxed{\bf{\purple{7.5cm}}}}$

$\rule{150}3$

$\Large\underline\bold{Additional\: information}$

• Gravitational force is a natural phenomenon by which physical bodies attract with a force proportional to their mass.
• The mathematical formula for gravitational force is F=GMmr2 F = G Mm r 2 where G is the gravitational constant.