Question

Show that the value of g is independent of the mass of the object​

Answer 1

Answer:

From second law of motion, the force on a body is the product of its mass and acceleration. Let the mass of body be m. 

The acceleration of falling objects due to the gravitational force of earth is equal to the acceleration due to gravity(g).Thus, force(F) on the falling objects is given by ,F = mg.This force is equal to the gravitational force between the body and earth.

⇒F=Gr2Mm

Where, G=Universal Gravitational constant

M=mass of earth

m=mass of body

r=distance between the body and the centre of earth  

As both forces are equal ⇒g=Gr2M which is independent of mass (m) of body. 

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