Rankers Physics
Topic: Gravitation
Subtopic: Gravitational Potential Energy

The escape velocity from the Earth's surface is $v$. The escape velocity from the surface of another planet having a radius four times that of Earth and same mass density is:

(2021)

$2v$
$3v$
$4v$
$v$

Solution:

Escape velocity $v = R \sqrt{\frac{8}{3} \pi G \rho}$. Since $v \propto R$ for constant density, a planet with 4 times the radius will have $v' = 4v$.

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