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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
System has done work against the conservative force

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