Question

The $F-X$ curve is shown below. Find the change in potential energy when particle displaces from $X=0\text{m}$ to $X=6\text{m}$ (Assume SI units)

• A. $15\text{J}$
• B. $30\text{J}$
• C. $60\text{J}$
• D. $7.5\text{J}$

Answer 1

The correct option is C $60\text{J}$

From definition of change in potential energy:
$F=-\frac{dU}{dX}$
$\therefore -\Delta U=\int FdX$;

The change in potential energy when particle displaces from $X=0\text{m}$ to $X=6\text{m}$ is
$\Rightarrow U_1-U_2=\text{Area under F - X graph}$
$=(10\times 6)\text{J}=60\text{J}$


Hence option C is the correct answer