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CBSE Class 9 Answered

Derive mathematical expression for acceleration due to gravity 'g'
Asked by Charansweety563 | 02 Oct, 2018, 09:35: PM
answered-by-expert 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), acceleration due to gravity = a = (G×M)/R2
Answered by Thiyagarajan K | 02 Oct, 2018, 11:28: PM
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