Question

What is the approximate radius of Pluto? (Pluto's mass is 1.1 × 1022 kilograms, and the acceleration due to gravity at its surface is 0.59 m/s2.)

Answer 1

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

$g = \frac{GM}{R^{2}}$

$R = \sqrt{\frac{GM}{g}}$

$R = \sqrt{\frac{6.67\times10^{-11}\times 1.1\times 10^{22}}{0.59}}$

R = 1.11 x 10^6 m

Thus, the radius of the Pluto is 1.11 x 10^6 m.