Escape Velocity is the minimum velocity needed to escape the gravitational field of a planet or other body. It is also called as Critical or Escape Speed.

G = Universal Gravitational Constant = 6.6726 x 10^{-11}N-m^{2}/kg^{2}
M = Planet Mass
R = Planet Radius

What is the escape velocity on earth with respect to Earth's gravity?
Mass of the earth = 5.98x10^{24}kg, R = 6378100 m, G = 6.6726 x 10^{-11}N-m^{2}/kg^{2}.

Substitute the values in the below Escape Velocity formula:

This example will guide you to calculate the Escape Velocity manually.

Determine the Mars mass, where the escape velocity of mars is 5 x 10^{3}.
Radius of Mars = 33.97 x 10^{5} kg, v_{e} = 5 x 10^{3}, G = 6.6726 x 10^{-11}N-m^{2}/kg^{2}.

Substitute the values in the below Mass formula:

This example will guide you to calculate the Mass of the Mars manually.

This tutorial will help you dynamically to find the Escape Velocity problems.