a rocket is launched with velocity 10km/s.if radius of earth is R ,what will be the maximum height attained by it ?
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Expert's answer
2013-01-09T11:24:44-0500
T+U=const T - kinetic energy U - potential energy v0=10 km/s mv0^2/2+Gamma*m*M/R=Gamma*m*M/(R+hmax) 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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