Question

if the mass of a planet is 8 times the mass of the earth and its radius is twice the radius of the earth, what will be the escape velocity for that planet?

Answer 1

Given:

Mass of planet $M_{p} =8M_{e}$

Escape velocity = $\sqrt{\frac{2GM}{R} }$

$v_{p} =\sqrt{\frac{16GM_{e} }{2R} } \\v_{e} =\sqrt{\frac{2GM_{e} }{R} } \\v_{p}=2v_{e}$

Hope it helps! :)