Question

calculate the gravitational force exerted by your father on other family members if all family members are standing in a circle of 1 m radius and father is standing at the centre of the circle​

Answer 1

Given:

Father is standing at the centre of a circle and other members of the family are standing along the circumference of the circle of radius 1 m.

To find:

Gravitational force exerted by father on other family members.

Calculation:

Let mass of father be m , and mass of another family member be M.

Gravitational Force be f :

As per Newton's Law of Gravitation :

$\therefore \: f = \dfrac{GMm}{ {r}^{2} }$

$= > \: f = \dfrac{GMm}{ {(1)}^{2} }$

$= > \: f = \dfrac{GMm}{1}$

$= > \: f = GMm$

But since the value of G is in the order of ${10}^{-11}$ , the net gravitational force exerted by the father on other family members will be very less and hence practically cannot be felt.

So , final answer is :

$\boxed{ \bold{ \: f = GMm}}$