Question

The potential energy if a $1kg$ particle free to move along the x-axis is given by
$V\left(x\right)=(\frac{x^4}{4}-\frac{x^2}{2})J$
The total mechanical energy of the particle is $2J$. Then, the maximum speed (in m/s) is:

• A. $2$
• B. $\frac{3}{\sqrt{2}}$
• C. $\sqrt{2}$
• D. $\frac{1}{\sqrt{2}}$

Answer 1

The correct option is B $\frac{3}{\sqrt{2}}$