Escape Velocity on a Different Planet – Rankers Physics
Topic: Gravitation
Subtopic: Gravitational Potential Energy

Escape Velocity on a Different Planet

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
\(4v\)
\(v\)
\(2v\)
\(3v\)

Solution:

Escape velocity is given by \(v_e = R\sqrt{\frac{8\pi G\rho}{3}}\). Since the mass density \(rho\) is the same, \(v_e\) is directly proportional to radius \(R\). Therefore, \(v_e' = 4v\).

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