Question

The escape velocity of a particle of mass $\text{'m}\text{'}$varies as

Answer 1

The escape velocity of Earth:

1. The escape velocity of celestial bodies like planets and their natural satellites is the minimum velocity that has to be achieved by an object, to escape the gravitational sphere of influence of the celestial body.
2. At this velocity, the sum of the gravitational potential energy and kinetic energy of the system will be equal to zero.
3. The escape velocity of a particle does not depend on its mass $\text{'m}\text{'}$.

Hence, the escape velocity of a particle does not vary with mass.