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Answer to Question #21164 in Mechanics | Relativity for beeta

Question #21164
a rocket is launched with velocity 10km/s.if radius of earth is R ,what will be the maximum height attained by it ?
Expert's answer
T - kinetic energy
U - potential energy
v0=10 km/s
M - mass of Earth
R+hmax = Gamma*M/(Gamma*M/R+v0^2/2)
hmax=R/(1+Rv0^2/(2Gamma*M)) - R =R/(1+2Gamma*M/(v0^2*R))
Answer: hmax=R/(1+2Gamma*M/(v0^2*R))

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