Energy required to move a body of mass m from an orbit of radius 2R to 3R is [AIEEE 2002]
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Answer:
Energy Required = (Final Potential - Initial Potential)m
Energy Required = -GMm/3R - (-GMm/2R)
= GMm/6R
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Explanation:- Gravitational potential energy of body will be E = - GMm/r
Where M = mass of earth
- m = mass of the body
- R = radius of earth
- as r = 2R
E ₁ = - GMm/(2R)
- as r = 3R₁
E₂ = - GMm/(3R)
Energy required to move of mass m from an orbit of radius 2R to 3R is
∆E = GMm/R [1/2 -1/3] = GMm/6R Answer
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