When an object falls freely to the ground its acceleration is inform

 

Asked by samreenshaikh871 | 29th May, 2021, 03:03: PM

Expert Answer:

We assume that your question is - 
When an object falls freely to the ground its acceleration is uniform. Give reason. 
 
Solution: - 
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 is given as,

 
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 Shiwani Sawant | 31st May, 2021, 12:15: PM