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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 MJ
Given:
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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