A satellite of mass M is moving in a circle of radius R under a centripetal force given by (−k/R2), where k is a constant, Then
A
The kinetic energy of the particle is k12R
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B
The total energy of the particle is (−k2R)
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C
The kinetic energy of the particle is (−kR)
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D
The potential energy of the particle is (k2R)
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Solution
The correct option is B The total energy of the particle is (−k2R) mv2R=kR2 or mv2=kR Kinetic energy =12mv2=k2R In case of satellites P.E=−2K.E and T.E=P.E+K.E Total energy =k2R−kR=−k2R