Escape Velocity Calculator, Formula, Escape Velocity Calculation

Escape Velocity Calculator:

Enter the values of Mass of the planet M_{(5.972 × 10}²⁴ _kg), Gravitational constant G_{(6.674 * 10}^(-11) _{N * m}² _{/ kg}²₎ & Radius R_(m) of the planet to determine the value of Escape Velocity ev_(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 × 10}²⁴ _kg) in kilogram and again multiply the Gravitational constant G_{(6.674 * 10}^(-11) _{N * m}² _{/ kg}²₎ 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 × 10}²⁴ _kg) * G_{(6.674 * 10}^(-11) _{N * m}² _{/ kg}²₎ / R_(m) )^(0.5)

Here,

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

M_{(5.972 × 10}²⁴ _kg) = Mass of the planet in kilogram

G_{(6.674 * 10}^(-11) _{N * m}² _{/ kg}²₎ = 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.

Escape Velocity: