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What is escape velocity ?

  • A.Escape velocity is the maximum velocity with which a body should be projected from the surface of earth so it do not go beyond gravitational field of earth
  • B.Escape velocity is the minimum velocity with which a body should be projected from the surface of earth so it do not go beyond gravitational field of earth
  • C.Escape velocity is the minimum velocity with which a body should be projected from the surface of earth so as it goes out of gravitational field of earth and never return to earth
  • D.Escape velocity is the maximum velocity with which a body should be projected from the surface of earth so as it goes out of gravitational field of earth and never return to earth

Answer: C

Escape velocity is the minimum velocity with which a body must be projected to escape the earth's gravitational field.

Equating kinetic energy to the depth of the gravitational well: \[\tfrac{1}{2}mv^2 = \frac{GMm}{R} \Rightarrow v = \sqrt{2gR} = 11.2\ \mathrm{km\,s^{-1}}\] It does not depend on the mass of the escaping body, nor on the direction of projection.

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