# Escape Speed Formula

Formula – Escape Speed

Velocity or Escape speed is the speed of a body at which the total of the kinetic energy and gravitational potential energy is zero. In a different sense, it can be described as the speed required to break the gravitational attraction. The formula for escape speed is articulated as,

$v_{e}=\sqrt{\frac{2GM}{r}}$

Where G is the gravitational constant, is the mass of the planet and is the distance from the center of gravity.

Escape Speed Solved Examples

Problem 1: The mass of the Jupiter is given as 1.898×1027Kg and the radius is given as 71492km. Compute the escape speed?
$v_{e}=\sqrt{\frac{2GM}{r}}$ $v_{e}=\sqrt{\frac{2\times 6.673\times 10^{-11}\times 1.898\times 10^{27}}{71492}}=59.5km/s$