derive the mathematical formula for acceleration due to gravity and calculate it's value on the surface of the earth
Answers
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
Explanation: