# Escape Velocity Calculator, Formula, Escape Velocity Calculation

## Escape Velocity Calculator:

Enter the values of Mass of the planet M(5.972 × 1024 kg), Gravitational constant G(6.674 * 10(-11) N * m2 / kg2) & Radius R(m) of the planet to determine the value of Escape Velocity ev(m/s).

 Enter Radius of the Planet: m Result – Escape Velocity: m/s

## Escape Velocity Formula:

The Escape Velocity ev(m/s) in meter per second is equal to the value of 2 into multiply the Mass of the planet M(5.972 × 1024 kg) in kilogram and again multiply the Gravitational constant G(6.674 * 10(-11) N * m2 / kg2) in Newton meter square per kilogram square is divided by the Radius of the planet R(m) in meter to the one-half power.

The Formula of Escape Velocity can be writtern as,

ev(m/s) = ( 2 * M(5.972 × 1024 kg) * G(6.674 * 10(-11) N * m2 / kg2) / R(m) )(0.5)

Here,

ev(m/s) = Escape Velocity in meter per second

M(5.972 × 1024 kg) = Mass of the planet in kilogram

G(6.674 * 10(-11) N * m2 / kg2) = Gravitational constant in Newton meter square per kilogram square

R(m) = Radius of the planet in meter

### Calculation for Escape Velocity:

1)Determine the Escape Velocity and given for mass = 5.972 × 1024 kg , Gravitational constant = 6.674 * 10(-11) N * m2 / kg2 , Radius = 10m.

Solution

ev = ( 2 * M * G / R )(0.5)

ev = ( 2 * 5.972 × 1024 * 6.674 * 10(-11) / 10 )(0.5)

ev = 4.566e-9m/s.

2)Determine the Radius and given for mass = 5.972 × 1024 kg , Gravitational constant = 6.674 * 10(-11) N * m2 / kg2 , Escape Velocity = 4.566e-9m/s.

Solution

ev = ( 2 * M * G / R )(0.5)

4.566e-9 = ( 2 * 5.972 × 1024 * 6.674 * 10(-11) / R )(0.5)

R = 10m.