The Escape Velocity Calculator is a free online tool that shows the object's escape velocity. This escape velocity calculator tool speeds up the calculation and displays the object's escape velocity from gravitational attraction in a fraction of a second.

**Escape Velocity Calculator:** The escape velocity calculator is a tool that may be used to determine how fast an item must travel to depart the surface of any celestial body while opposing its gravity. This article will show you how to compute escape velocity and the first cosmic velocity in detail. It also includes a comprehensive explanation of the escape velocity equation and the typical values to find the mass and radius of the planet.

The minimal velocity or speed required to exit a planet or the moon is known as the escape velocity. The mass and radius of the celestial body have a significant impact on the escape velocity. The orbital velocity and the escape velocity are two different things. The orbital velocity is needed to get into the planet's orbit, but the escape velocity is needed to get out of it. The formula for escape velocity is as follows:

**V _{e} = [2GM/R]V **

- where, The escape velocity is V
_{e} - The planet radius is denoted as R
- The planet mass is denoted by M
- The gravitational constant is G

The information below will assist you in determining an escape velocity expression.

- g = 9.8 m/s2 is the acceleration due to gravity (earth)
- R = 6.4 106 m (earth's radius)
- V
_{e}= 11.2 km/s is the escape velocity (earth) (Approximately)

The formula for escape velocity is also called as the second cosmic velocity formula is derived directly from the law of conservation of energy.

The first cosmic velocity is the speed at which an object must travel in order to orbit a celestial body. For example, all satellites must have this velocity in order to avoid crashing onto the Earth's surface. The formula is given below: First cosmic velocity = **âˆš(MG/R)**

The second cosmic velocity, often known as the escape velocity - the speed required to exit a planet's surface is something you already know. This is, for example, the velocity of space rockets.

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The following is the procedure on how to use the escape velocity calculator. They are as such

- In the input area, enter the mass and radius of the planet.
- To calculate the escape velocity, click the Calculate option.
- Finally, in the output field, the object's escape velocity from gravitational attraction will be displayed.

The escape velocities of all planets in the Solar System (as well as the Moon) are listed below. You can compute their masses and radii 'backwards' using the escape velocity equation? Also, try to discover these planets' first cosmic velocities.

Planet | Escape Velocity |
---|---|

Mercury | 4.3 km/s |

Venus | 10.3 km/s |

Earth | 11.2 km/s |

Moon | 2.4 km/s |

Mars | 5.0 km/s |

Jupiter | 59.6 km/s |

Saturn | 35.6 km/s |

Uranus | 21.3 km/s |

Neptune | 23.8 km/s |

**Question 1:** If the radius of the planet is 8m and the escape velocity from planet is 9m/s then calculate the mass

**Solution:**

Consider the problem, we have

Escape velocity, V_{e}=9 m/s

Radius,R=8m

Gravitational constant, G = 6.674*10^{-11}Nm^{2}/kg^{2}

The formula for finding the mass **M = (V _{e})^{2}R/2G**

M=9^{2}*8/2*6.674*10^{-11}

Mass = 4854659874138.448 kg

Therefore,the mass is **4854659874138.448 kg **

**1. What is escape speed?**

The minimal speed at which a mass must be transported off the earth's surface to escape gravity is known as escape speed. The escape velocity of the earth is the same as the escape velocity of the sun. This is the lowest speed required for an object to be free of a huge object's gravitational pull.

**2. What is the formula for the Earth's Escape Velocity?**

The parameters are M (mass of the planet), R (radius of the planet) and G (universal gravitational constant). The formula for escape velocity is given below:**V _{e} = ((2GM)/R)**

The information below will assist you in determining an escape velocity expression.

g = 9.8 m/s^{2} is the acceleration due to gravity (earth)

V_{e} = 11.2 km/s is the escape velocity (earth) (Approximately).

**3. What is the Earth's escape velocity?**

If atmospheric resistance were ignored, the escape velocity at the Earth's surface would be around 11.2 kilometres (6.96 miles) per second. At its surface, the less massive Moon's escape velocity is around 2.4 km per second.

**4. What is Mars escape velocity?**

Mars escape velocity is 5.03 km/s