Force acting during free fall = Force of gravitation between earth and ball
According to Newton’s second law,
Free fall acceleration or acceleration due to gravity is represented by ‘g’ .
Using equation (1) and (2),
M = Mass of earth
R = Radius of earth
Substituting the values of G, M and R of the earth, we get acceleration due to gravity,
From equation (3) we can see that depends on the dimension of the body i.e. mass and radius. Hence it will not be same everywhere. Also as the acceleration remains constant during free fall motion, we can use equations of motion. The value of acceleration in all the equations needs to be replaced with g. Thus,
v = u + gt
Acceleration Due to Gravity (g) Does Not Depend on the Mass of a Body:
Since the acceleration due to gravity does not depend on the mass of the body, all the bodies whether heavy or light, fall with the same acceleration towards the surface of the earth.
Relation between g and G:
If M is the mass of the earth and R is its radius then the acceleration due to gravity at the gravity at the surface of the earth is given by
The value of g depends on
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