Answer:
1.11 x 10^6 m
Explanation:
mass of Pluto, M = 1.1 x 10^22 kg
acceleration due to gravity on Pluto, g = 0.59 m/s²
let R be the radius of the Pluto and G is the universal gravitational constant.
G = 6.67 x 10^-11 Nm²/kg²
use the formula for the acceleration due to gravity
[tex]g = \frac{GM}{R^{2}}[/tex]
[tex]R = \sqrt{\frac{GM}{g}}[/tex]
[tex]R = \sqrt{\frac{6.67\times10^{-11}\times 1.1\times 10^{22}}{0.59}}[/tex]
R = 1.11 x 10^6 m
Thus, the radius of the Pluto is 1.11 x 10^6 m.
