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 =