Answer
$46.26\;W$
Work Step by Step
If any point on the string moves a small distance $\Delta y$ in time interval $\Delta t$, the work done by the tension is
$\Delta W=T_{trans}\Delta y$
Therefore, the rate work done by the tension is
$P=\frac{\Delta W}{\Delta t}$
or, $P=\frac{T_{trans}\Delta y}{\Delta t}$
or, $P=T_{trans}u$
Work done by the tension=energy transfer along the string
Therefore, the rate of energy transfer along the string is:
$P=T_{trans}u$
$\therefore$ The maximum value of the rate of energy transfer along the string is:
$P_{max}=T^{max}_{trans}u_{max}$
or, $P_{max}=12.27\times3.77\;W$
or, $P_{max}=46.26\;W$
