Question

If two balls of masses M each exert a force F when
they are at a distance of R and Fwhen they are at a
4F'
distance of 2 R then is equal to:
F​

Answer 1

Answer:

According to Sir Newton's gravitational law the magnitude of gravitational force F between objects of mass m1  and m2  separated by a distance R is given by  ,

          F=GR2m1m2  ............eq1 ,

now if the distance between them  is doubled i.e. 2R ,then the gravitational force will be ,

           F′=G(2R)2m1m2=G4R2m1m2 ,

now by using eq1 ,

           F′=F/4