Derive an expression for "g".

Asked by gaayush2007 | 29th Oct, 2020, 09:37: AM

Expert Answer:

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), 
 a = (G×M)/R2

Let a = g, 
Thus, 
 
g = GM/R2 

Answered by Shiwani Sawant | 29th Oct, 2020, 11:39: AM