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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,

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

Let us discuss some numerical on escape speed to learn more about this concept.

Problem 1: The mass of the Jupiter is given as 1.898×1027Kg and the radius is given as 71492km. Compute the escape speed?
Answer:

Known parameters are,
Mass of the Jupiter, M = 1.898×1027kg and the radius, r = 71492km
G = 6.673×10-11m3/kgs2
Formula for escape speed is, 

Problem 2: The mass of the Moon is given as 7.35×1022Kg and the radius is given as 1.7×106m. Compute the escape speed?

Answer:

Known parameters are,
Mass of the Moon, M = 7.35×1022kg and the radius, r = 1.7×106m
G = 6.673×10-11m3/kgs2
Formula for escape speed is,