- #1
Helly123
- 581
- 20
Homework Statement
Gravitational force exerted on mass m is GMm/r^2
2. Relevant equations
Orbital velocity at distance R from Earth = ##\sqrt gR##
Escape velocity = ##\sqrt 2gR##
gR = GM/R
Fc = mV^2/R
F =m.a
The Attempt at a Solution
1) express acceleration of gravity in terms of G, M , and R
F = m.a
a = F/m = GM/r^2
2) velocity of satellite at distance R from Earth's surface
I thought v = ##\sqrt gR##
But it is wrong.
I thought it is mv^2/R = GMm/R
3) mechanical energy for satellite in terms of G, m, R and EP at distance r infinity = 0
So, left EK. But i have to find the v first
Can i get a clue?