Write true or false for the following statements:

Acceleration due to gravity is expressed as

g =

Where, symbols have their usual meanings.

True

Explanation:

The acceleration produced in a freely falling body by the gravitational pull of the earth is called the acceleration due to gravitation.

We know that,

Force = Mass × Acceleration

F = m × a

a = …..1

Where, F is the force on the object of mass m dropped from a distance r from the centre of earth of mass M.

So, force exerted by the earth on the object is

F = …..2

M = Mass of Earth

m = mass of object

r = distance of object from centre of earth

Now, from equation 1 and 2,

a =

a =

Now, from above,

a = g = Acceleration due to gravity

Hence,

g =