mass of the planet is 12 times that of earth and its radius is thrice that of earth , then find the escape velocity on that planet ??

The escape velocity on the planet is approximately 178.976 km/s

Explanation:

The escape velocity for Earth is therefore given as follows

The formula for escape velocity, , for the planet is

Where;

= The escape velocity on the planet

G = The universal gravitational constant = 6.67430 × 10⁻¹¹ N·m²/kg²

m = The mass of the planet = 12 × The mass of Earth,

r = The radius of the planet = 3 × The radius of Earth,

The escape velocity for Earth, , is therefore given as follows;

= 16 ×

Given that the escape velocity for Earth, ≈ 11,186 m/s, we have;

The escape velocity on the planet = ≈ 16 × 11,186 ≈ 178976 m/s ≈ 178.976 km/s.