Posted by Dave on Thursday, November 8, 2012 at 3:37am.
a) You need the radius of the Earth,
Re = 6370 km
The orbit radius is then
R = Re + h = 6770 km
The acceleration of gravity at that altitude is
g' = g*(Re/R)^2 = 8.685 m/s^2
Set the gravitational acceleration g' equal to the centripetal acceleration and solve for V
V^2/R = 8.685 m/s^2
V = 7670 m/s
b) K.E. = (1/2) M V^2
c) You need to specify where the potential energy is defined to be zero.
Usually in cases like this it is assumed zero at infinity.
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