You are standing on a planet with a radius 10,000kilometers. It's mass is 10^26 kg. What is the planet's escape velocity from where your standing? Ignore rotation of the planet.

Question

You are standing on a planet with a radius 10,000kilometers.  It's mass is 10^26 kg.  What is the planet's escape velocity from where your standing?  Ignore rotation of the planet.

drwls · Answer

(1/2) m Vescape^2 = G m M/R
The term on the right is the potential energy change necessary to escape.
m is the object's mass (which cancels out)
M is the planet's mass
G is the universal gravity constant

Vescape = sqrt(2G*M/R)

Do the numbers

Anonymous · Answer

vescape=sqrt(2g*m/r)