#### How does the force of attraction between the two bodies depend upon their masses and distance between them? A student thought that two bricks tied together would fall faster than a single one under the action of gravity. Do you agree with his hypothesis or not? Comment.

By universal law of gravitation, we know that the force between two particles kept at a fixed separation will be proportional to product of their masses.

$F= \frac{Gm_{1}m_{2}}{r^{2}} \\ \Rightarrow F\: \alpha \: m_{1}m_{2}\\ \Rightarrow F\: \alpha \: \frac{1}{r^{2}}$

The weight of an object is nothing but the gravitational force by earth on that body.

The weight is generally given as mg, therefore,

$mg= \frac{GM_{e}m}{R_{e}^{2}}\\ \Rightarrow g=\frac{GM_{e}}{R_{e}^{2}}$

Hence, the acceleration due to gravity does not depend on mass of the object.

Whether you drop a single body or two bodies tied with the string, their acceleration under gravity will be same in free fall.

Therefore, they will take the same time to reach the ground.

Hence, the hypothesis is wrong.