Question

Show that the acceleration of a freely falling body doesn't depend on the mass of the body near the earth's surface.

Answer 1

Let a body of mass m freely falling from height h

then

gravitational force on body

F=  (R+h)  

2

 

GM  

e

​  

m

​  

 where M  

e

​  

= mass of earth  

R= Radius of earth

all acceleration of body  

m

F

​  

=  

(R+h)  

2

 

GM  

e

​  

 

​  

 

Hence acceleration of freely falling body does depend on mass of body