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Maharashtra Class 9 Answered

whan an object falls freely to the ground its acceleration is uniform 
Asked by Patneyogesh0 | 17 Apr, 2019, 01:38: PM
answered-by-expert Expert Answer
Yes When the object is falling freely acceleration is uniform.
 
Gravitational force acting on a mass m which is at a height h above earths surface when it is  falling freely
 
begin mathsize 12px style F space equals space G fraction numerator M space m over denominator left parenthesis R plus h right parenthesis squared end fraction end style ........................(1)
where G is gravitational constant, M is mass of earth , R is radius of earth.
 
since force is  mass×acceleration , acceleration g of mass m from eqn.(1) is given by,   begin mathsize 12px style g space equals space fraction numerator G M over denominator open parentheses R plus h close parentheses squared end fraction space end style ....................(2)
In eqn.(2) radius of earth R = 6371 km,  hence if h << R,  we can consider (R+h) ≈ R,  hence    begin mathsize 12px style g space equals space fraction numerator G M over denominator R squared end fraction space equals space c o n s tan t space end style
Answered by Thiyagarajan K | 17 Apr, 2019, 02:35: PM

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