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## Homework Statement

The escape velocity is the velocity of an object at the surface of a planet that would

allow it to be removed completely from the planet’s gravitational field.

Calculate the escape velocity for an object on the surface of Pluto.

mass of Pluto: 1.3 *10

^{22}

radius of Pluto: 1.2 *10

^{6}

G= 6.7 *10

^{-11}

## Homework Equations

E

_{K}= 1/2mv

^{2}

Potential Energy= GM

_{1}M

_{2}/R

## The Attempt at a Solution

I think i have this correct but i dont have the answers to check!!! So i need a professional opinion =]

So at the surface would i be right in saying the kinetic energy required to leave the planet will be equal to the Potential the body has at the surface of the planet??

So, 1/2mv

^{2}= GM

_{1}M

_{2}/R

(the mass of the object will cancel)

v=[square root]{2GM/R}

v=[square root]{2*6.7 *10

^{-11}*1.3 *10

^{22}/1.2 *10

^{6}

v= 1205 ms

^{-1}

Is this the right answer?? not entirely sure!