A uniform rope of total length $0\mathrm{.}7m$ and mass $1\mathrm{.}6$

$kg$ is placed on a frictionless table with length $0\mathrm{.}2$

$m$ hanging over the edge as shown. When the rope

is released from rest, it begins to slide down the

edge. What is the speed of the rope at the instant

there is no rope is left on the table? Hint: use

$K+U=0$ and the center$-$of$-$mass of two parts

with an appropriate reference.

Do NOT use significant figure rules in your

calculations! Give your final answer

NUMERICALLY with at least two digits after the

decimal point when appropriate. Take $g=10$

$\frac{m}{s^2}.$