InterviewSolution
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InterviewSolution
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A sky lab of mass `2 xx 10^(3)kg` is first lauched from the surface of earth in a circular orbit of radius `2R` and them it is shifted from this circular orbit to another circular orbit of radius `3R`. Calculate the energy required (a) to place the lab in the first orbit, (b) to shift the lab from first orbit to the second orbit. `(R = 6400 km`, `g = 10 m//s^(2))` |
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Answer» Correct Answer - A::B (a) `W =` energy of satellite in first orbit - energy of satellite on the surface of earth `= - (GMm)/(2(2R)) - ((-Gmm)/(R))` `= (3)/(4) (GMm)/(R )` `= (3)/(4) mgR = (3)/(4) xx 2 xx 10^(3) xx 10 xx 6.4 xx 10^(6)` `= 9.6 xx 10^(10) J` (b) `W =` enargy of satellite in second orbit - energy in first orbit ` = - (GMm)/(2(3R)) - [(-Gmm)/(2(2R))]` `= (1)/(2) (GMm)/(R) = (1)/(2) mgR` `= (1)/(2) xx 2 xx 10^(3) xx 10 xx 6.4 xx 10^(6)` `= 1.07 xx 10^(10)J` |
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