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A satellite with kinetic energy `E_(k)` is revolving round the earth in a circular orbit. How much more kinetic energy should be given to it so that it may just escape into outer space |
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Answer» Let `upsilon_(0), upsilon_(e)` be the orbital and escape speeds of the satellite, then `upsilon_(e) = sqrt(2) upsilon_(0)` Energy in the given orbit, `E_(1) = (1)/(2) m upsilon_(0)^(2) = E` ..(i) Energy for the escape speed, `E_(2) = (1)/(2) m upsilon_(e)^(2) = (1)/(2) m (sqrt(2) upsilon_(0))^(2) = 2E` `:.` Energy required to be supplied `= E_(2) - E_(1) = E` |
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