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Motion In Straight Line

Question
CBSEENPH11017670

A body of mass m is moved from surface of the earth to a height equal to radius of the earth. Find the increase in gravitational potential energy of mass.

Solution
Gravitational potential energy at the surface of the earth is,
                   straight U subscript 0 equals negative GMm over straight R
Gravitational potential energy at height R from the surface of the earth is, 
straight U equals negative fraction numerator GMm over denominator straight R plus straight R end fraction equals negative fraction numerator GMm over denominator 2 straight R end fraction 
Change in potential energy, 
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     equals fraction numerator GMm over denominator 2 straight R end fraction equals mgR over 2