- #1
Alexanddros81
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Homework Statement
A missile is launched from the surface of a planet with the speed v0 at t=0.
According to the theory of universal gravitation, the speed v of the missile after launch
is given by
v2 = 2gr0(r0 / r -1) + v02
where g is the gravitational acceleration on the surface of the planet and r0 is the mean
radius of the planet.
(a) Determine the acceleration of the missile in terms of r.
(b) Find the escape velocity that is the minimum value of v0 for which the missile will not return to the planet.
c)Using the result of part (b) calculate the escape velocity for earth, where g = 9.81m/s2 and
r0 = 6370km
Homework Equations
The Attempt at a Solution
I have tried part (a) . My attempt is found in the attached file.
Another way to go is to use the v2 = 2a(x-x0) + v02
and compare with given equation. I have tried that and couldn't get -g(r0/r)2
How do i solve part (b)? any hints