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An artificial satellite moving in a circular orbit around the earth has a total energy `E_(0)`. Its potential energy isA. `-2E`B. 2EC. `(2E)/(3)`D. `-(2E)/(3)` |
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Answer» Correct Answer - A We know that, the potential energy of the satellite `U=-(GM_(e)m)/(R_(e))` The kinetic energy of the satellite `K = (1)/(2)(GM_(e)m)/(R_(e))` The total energy, `E=U+K=-(GM_(e)m)/(R_(e))+(1)/(2)(GM_(e)m)/(R_(e))=-(1)/(2)(GM_(e)m)/(R_(e))` `rArr2E=-(GM_(e)m)/(R_(2))rArr -2E =U` So, potential energy = -2 (total energy) `rArr PE = -2E`. |
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