Answer
See answers.
Work Step by Step
a. This is a gauge pressure, measured relative to atmospheric pressure. The pressure change due to depth in a fluid is given by equation 10–3b.
$$\Delta P = \rho g \Delta h$$
$$\Delta h = \frac{\Delta P}{\rho g }= \frac{(52\;mm-Hg)(\frac{133\;N/m^2}{1\;mm-Hg})}{(1000\;kg/m^3)(9.8\;m/s^2)}=0.71\;m$$
b. This is a gauge pressure, measured relative to atmospheric pressure. The pressure change due to depth in a fluid is given by equation 10–3b.
$$\Delta P = \rho g \Delta h$$
$$\Delta h = \frac{\Delta P}{\rho g }= \frac{(680\;mm-H_2O)(\frac{9.8\;N/m^2}{1\;mm-H_2O})}{(1000\;kg/m^3)(9.8\;m/s^2)}=0.68\;m$$
c. For the fluid to just barely enter the vein, the fluid pressure equals the blood pressure.
$$\Delta h = \frac{\Delta P}{\rho g }= \frac{(75\;mm-Hg)(\frac{133\;N/m^2}{1\;mm-Hg})}{(1000\;kg/m^3)(9.8\;m/s^2)}=1.0\;m$$