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Why do the things kept in a room do not get close to each other due to gravitational force of every object?
The force of gravity between objects in a room is too small to cause motion of the objects.
Consider two 1 kg balls separated by 1 m on the floor.
$Force = \frac{GmM}{R^2}= \frac{G(1kg)(1kg)}{(1m)^2}= 6.67259 \times 10^{-11}$ newton
where $G = 6.67259 \times 10^{-11} N m^2/kg^2$.
The value of G is an extremely small numerical value. Its smallness accounts for the fact that the force of gravitational attraction is only appreciable for objects with a very large mass.
The magnitude of the gravitational force is of the order of $10^{-11}$. That much small it is and can be said to negligible for practical purposes.
Thus, two objects in a room will not show any motion because of the gravitational force of attraction between them