# Find the distance between two stones each of mass 2 kg so that the gravitational force between them is 1N

2
by harkaran

2014-09-22T10:07:13+05:30
Newton's Law of Gravitation states that the gravitational force between any two objects is the product of their masses divided by the distance between their centres of mass squared all multiplied by the gravitational constant.
there fore F = (Gm1m2)
Gravitational constant = 6.67x10^-11 ,  F = 1 and m1 and m2 = 2

apply in above formula we get 1 = (6.67x10^-11 x 2 x 2)/r^2

rearranging, we get r^2 = 6.67x10^-11 x 2 x 2

therefore r^2 = 2.6692x10^-10 therefore r = 1.634x10^-5 m

2014-09-22T19:43:29+05:30
According to the universal law of gravitation  F=GMm/d^2  whereF=FORCE,G=gravitational const=6.67 x10^-11Nm^2/Kg^2 M and m are the masses and  d is the distance between the two bodies   F=GmM /d^2  d^2=  GMm/F    ie d^2=6.67 x 10^-11  x 2 x  2  /1 =6.67 x4 x 10^-11   =26.68 x10^-11 which is same as 2.668 x10^-10  or d=squre root of2.668 x10^-10 =1.634 x10^-5m