InterviewSolution
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InterviewSolution
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A shell is fired vertically from the earth with speed `v_(esc)//N`, where `N` is some number greater than one and `v_(esc)` is escape speed on the earth. Neglecting the rotation of the earth and air resistance, the maximum altitude attained by the shell will be (`R_(E)` is radius of the earth):A. `(R_(E))/(N^(2)-1)`B. `(R_(E))/(N^(2))`C. `(NR_(E))/(N^(2)-1)`D. `(N^(2)R_(E))/(N^(2)-1)` |
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Answer» Correct Answer - A `-(GMm)/R=-(GMm)/(R+h)+1/2mv^(2)` `1/2v^(2)=GM(1/(R+h)-1/R)v^(2)=(2GM)/Rh/(R+h)` `v^(2)=v_(e)^(2)h/(R+h)` given `v=(v_(e))/N` Substitute `rArr h=R/(1-N^(2))` |
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