1. What is the difference in blood pressure (mmHg) between the top of the head and bottom of the feet of a 1.60-m-tall person standing vertically?

1. What is the difference in blood pressure (mm−Hg) between the top of the head and bottom of the feet of a 1.60-m-tall person standing vertically?

2. water at a gauge pressure of 3.8 atm at street level flows into an office building at a speed of 0.69 m/sthrough a pipe 5.1 cm in diameter. The pipe tapers down to 3.0 cm in diameter by the top floor, 18m above, where the faucet has been left open. (Figure 1)a.Calculate the flow velocity in the pipe on the top floor. Assume no branch pipes and ignore viscosity. Express your answer using two significant figure

3. A ball of mass M and radius r1 on the end of a thin massless rod is rotated in a horizontal circle of radius R0 about an axis of rotation AB, as shown in the figure (Figure 1).Calculate the percentage error introduced by the point mass approximation for r1 = 9.0 cm and R0 = 1.1 m .

4. An archer is at the base of a castle wall and fires an arrow at a solider on the ramparts. The table shown (from an archery hunting website) estimates the kinetic energy needed to have sufficient penetration power to take down various animals. Estimate the maximum height the wall can be so that the arrow has enough power to penetrate a soldier's armor when it reaches the top. 

KE                         Hunting usage

<25 ft. lbs               small game

25-41 ft. lbs            medium game(deer, antelope, etc)

42-65 ft. lbs           large game (elk, black bear, wild boar etc)

65 ft. lbs                  toughest game (cape buffalo,grizzily etc)