InterviewSolution
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InterviewSolution
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A body is projected vertically upwards from the surface of the earth with a velocity equal to half of escape velocity of the earth. If `R` is radius of the earth, maximum height attained by the body from the surface of the earth isA. `(R)/(6)`B. `(R)/(3)`C. `(2R)/(3)`D. `R` |
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Answer» Correct Answer - B Applying conservation of mechanical energy, `(1)/(2)m((v_(e))/(2))^(2)=(mgh)/(1+(h)/(R))or(v_(e)^(2))/(8)=(gh)/(1+(h)/(R))` or `(2gR)/(8)=(gh)/(1+h//R)`....(i) `(because v_(e) = sqrt(2gR))` On solving Eq. (i), we get `h= (R)/(3)`. |
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