Explanation:
It is given that,
Mass, [tex]M=3\times 10^{11}\ kg[/tex]
Acceleration due to gravity, [tex]g=9.8\ m/s^2[/tex]
Acceleration due to gravity is given by :
[tex]g=\dfrac{GM}{r^2}[/tex]
r = distance from head
[tex]r=\sqrt{\dfrac{GM}{g}}[/tex]
[tex]r=\sqrt{\dfrac{6.67\times 10^{-11}\times 3\times 10^{11}}{9.8}}[/tex]
r = 1.42 m
So, at the distance of 1.42 meters from the head its gravitational pull on you match that of Earth's. Hence, this is the required solution.
