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Question

The potential energy of a system increases if work is done

A
upon the system by a non conservative force.
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B
on the system against a conservative force.
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C
by the system against a non conservative force.
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D
upon the system by a conservative force.
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Solution

The correct option is B on the system against a conservative force.

Potential energy U for a system is defined as:
Wint=ΔU=(UfUi) ...(1)
fiFdr=(UfUi) ...(2)
Where F is an internal conservative force, and Wint is work done by the internal conservative force.
If U increases then Uf>Ui , or the term (UfUi) will be ve.

Wint will become ve
Hence we can say that if the work is done by the system then the internal energy of the body will increases.


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