The potential energy of a particle of mass 1 kg is, U = 10 + (x - 2)² . Here, U is in joule and x in meter on the positive x-axis. Particle travels upto x = + 6 m. Choose the correct statement.

At  $x = 6m, U = 26J$              (extreme position)

On the other side

$$\begin{gathered} U=26=10+{(x-2)}^2 or x-2=\pm 4 \\ x=6m and x=-2m \end{gathered}$$

Thus, $x = + 6m$ and $x = - 2 m$ are the extreme positions. At x = 2 m, potential energy is minimum, which is 10 J. Hence, at this position kinetic energy will be maximum, which is equal to total mechanical energy(= 26J) minus minimum potential energy( =10J). Thus maximum kinetic energy is 16 J.