Answer:
0.577
Explanation:
The initial weight is
mg= [tex]\frac{GMm}{r_1^2}[/tex].......................1
and the final weight is
[tex]3mg= \frac{GMm}{r_2^2}[/tex]......................2
now to calculate [tex]r_2/r_1[/tex]
now dividing equation 1 by equation 2 we get
[tex]\frac{1}{r_1^2}/\frac{1}{r_2^2}[/tex]= 1/3
[tex]\frac{r_2}{r_1} =\sqrt{\frac{1}{3} }[/tex]
[tex]\frac{r_2}{r_1}[/tex]=0.577