$1$ A$.0\mathrm{.}3$ m diam pipe through which water flows at the rate of $0\mathrm{.}282\frac{m^3}{s}$ suddenly enlarges to $0\mathrm{.}6$ m in diam. If the axis of the pipe is horizontal and the water in a vertical tube connected to the larger pipe stands $0\mathrm{.}36$ m higher than the level in a tube connected to the smaller pipe, determine the coefficient K if the shock loss is expressed as $\frac{K^2}{2}g,$ where $v$ is the velocity in the smaller pipe.