What is the relationship betweek surface gravity and excape velocity?

Equate the kinetic energy to the surface gravitational potential to get

2 G M m

1/2 m V = ---------

R

the escape velocity is then

2 2 G M

V = -------

R

where in gram-cm units G = 6.6 x 10^-8,

R is the radius of the planet in centimeters,

M is the mass of the planet in grams, and

V is the escape velocity in cm/sec.

from Ask an Astronomer http://image.gsfc.nasa.gov/poetry/ask/a11012.html