derive an expression for escape and orbital velocity
veda gayatri yedla , 6 Years ago
Grade 11
Mechanics> derive an expression for escape and orbit...
1 Answers
Arun
Last Activity: 6 Years ago
Dear student
mv^2/r = GMm/r^2Centripetal force = gravitational forceOrbital velocity, for a small mass m orbiting a large mass M:
Escape velocity: Potential energy relative to infinity = -GMm/r. Escape velocity is the velocity such that the initial KE is just enough to get you to infinity due to conservation of energy So
v = sqrt (GM /r)
Escape velocity: Potential energy relative to infinity = -GMm/r. Escape velocity is the velocity such that the initial KE is just enough to get you to infinity due to conservation of energy So
(1/2)mv^2 = GMm/r.
v = sqrt (2GM/r)
Regards
Arun (askIITians forum expert)
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