Top

Escape Velocity Calculator
Top

Escape velocity for a planet is calculated as -

Escape Velocity = $\sqrt{\frac{2 \cdot G \cdot M}{R}}$

Where 'G' is Universal Gravitational Constant (= 6.6726*10-11 N-m2/ kg2), M is Mass of the Planet and R is the Radius of the Planet.

Escape Velocity Calculator (Escape Speed Calculator) is an online tool for calculating values of the unknown parameters in the Escape Velocity Formula provided other parameters are known.

## Step by Step Calculation

Step 1 :

Escape Velocity Formula:

Escape Velocity: Ve = Square root of(2GM/R)
Planet Mass: M = (Ve2R)/2G
Where,
G = Universal Gravitational Constant = 6.6726*10-11 N-m2/kg2
M = Planet Mass

Step 2 :

State the equation you plan to use and plug in the values.

## Example Problems

1. ### Calculate the escape velocity on earth with respect to Earth's gravity?

Step 1 :

We know that:
Mass of the earth(M) = 5.98x1024kg,
G = 6.6726 x 10-11N-m2/kg2
Escape velocity(ve) = ?

Step 2 :

Substitue the given values in the formula:
Escape Velocity: Ve = Square root of(2GM/R)
Ve = Square root of((2×6.6726 x 10-11 ×5.98x1024)/(6378100))
Ve = Square root of((79.73×1013)/(6378100))
Ve = Square root of(125005879.5)
Ve = 11180.06m/s

Ve = 11185.811m/s

2. ### Calculate the mass of the planet Mars, whose escape velocity is 5 × 103?

Step 1 :

Given that:
Radius of Mars(R) = 33.97 x 105 kg,
Escape velocity(Ve) = 5 x 103,
Mass of the planet mars(M) = ?

Step 2 :

Substitue the given values in the formula:
Mars mass: M = (Ve2R)/2G
M = ((5 x 103)2×(33.97 x 105))/(2×6.6726 x 10-11)
M = 849.25×1022 / 13.3452
M = 6.364×1023 kg