CBSE Class 9 Answered

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 =  ..........................(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