Acceleration due to gravity. Derive its formula.

Asked by mohitarya367 | 15th Jan, 2020, 08:10: PM

Expert Answer:

The acceleration produced in freely falling body due to gravitational force is called acceleration due to gravity.
Acceleration due to gravity is represented by letter 'g'.
Value of g is 9.8 m/s2 . 
Derivation of acceleration due to gravity: 

As per Newton's law, Force = mass × acceleration = m×a .....................(1)
where m is mass and a is acceleration
Gravitational force acting on a mass m on earth's surface =  begin mathsize 12px style G space fraction numerator M cross times m over denominator R squared end fraction space equals space m cross times fraction numerator G M over denominator R squared end fraction end style..........................(2)
where G is Gravitational force constant, M is mass of earth and R is radius of earth
By comparing (1) and (2), acceleration due to gravity = g = (G×M)/R2


Answered by Shiwani Sawant | 17th Jan, 2020, 11:16: AM