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Question

# If the potential energy of a satellite is −2 MJ, then the binding energy of the satellite is

A
1 MJ
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B
2 MJ
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C
8 MJ
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D
4 MJ
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Solution

## The correct option is A 1 MJGiven: P.E.=−2 MJ For a satellite of mass m revolving around a planet of mass M in a circular orbit of radius r. So, the potential energy of satellite will be P.E.=−GMmr And kinetic energy of satellite moving in an orbit will be ∴K.E.=GMm2r So, T.E.=P.E.+K.E. ⇒T.E.=−GMm2r Since, binding energy is the absolute value of total energy. ∴ Binding Energy =|T.E|=GMm2r So, binding energy =|P.E|2=1 MJ Hence, option (a) is correct. Alternative method: Binding energy =−TE=−PE2=1 MJ Why this question: To make studentsunderstand the concept of a bound system and its relationship with total energy.

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