Question
When a conservative force does positive work on a body

Answer

In conservative force $\vec{F}=\frac{-d V}{d r}$

$=\vec{F} \cdot \overrightarrow{d r}=-d V$

$\int \vec{F} \cdot \vec{d} r=-\int d V$

When work done is positive. $d V$ is negative so potential energy decreases.

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