Homework Answers
h = 0.61 R
R+h = 1.61R
g =GM/R^2 = 9.825 m/s^2, R = 6371 km
From conservation of energy
(P.E+K.E)at earth surface = (P.E+K.E) at maximum altitude
-GMm/R +(1/2)mvo^2 = -GMm/(R+h) +0
-gR +(1/2)vo^2 = -GM/1.61R
-gR+(1/2)vo^2 = -gR/1.61
vo^2 = 2gR[1-1/1.61] =2*9.825*6371*1000*0.379
vo= 6887 m/s
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We will all rate if correct
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