(1) Find the diameter of a parachute required to provide a fall velocity no larger than that caused by jumping from a $2.5\,\text{m}$ height, if the total load is $80\,\text{kg}$. Assume that the properties of air are $\rho = 1.167\,\text{kg/m}^3$, $\nu = 1.5 \times 10^{-5}\,\text{m}^2/\text{s}$, and treat the parachute as a hemispherical shell with $C_D = 2.3$.

(2) Mississippi River boatmen know that when rounding a bend in the river, they must stay close to the outer bank or else they will run aground. Explain in fluid mechanical terms the reason for the cross-sectional shape of the river at the bend.