# State Newton’s universal law of gravitation and write an expression for it. Also show that acceleration due to gravity of an object is independent of its mass.

**Q. State Newton’s universal law of gravitation and write an expression for it. Also show that acceleration due to gravity of an object is independent of its mass.**

**Ans.**It states that the gravitational force of attraction between two masses is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres. Mathematically, we have

F = Gm

_{1}m_{₂}/ r²Take a sheet of paper and a stone. Drop them simultaneously from the first floor of a building. Observe whether both of them reach the ground simultaneously. We see that paper reaches the ground little later than the stone. This happens because of air resistance. The air offers resistance due to friction to the motion of the falling objects. The resistance offered by air to the paper is more than the resistance offered to the stone. If we do the experiment in a glass jar from which air has been sucked out, the paper and the stone would fall at the same rate. This shows that acceleration of both the bodies is independent of their mass.

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