The water in a tank is pressurized by air, and the pressure is measured by a multifluid manometer as shown in Fig. 1. Determine the gage pressure of air in the tank if hi = 0.2 m, h; 0.3 m, and h;= 0.4 m. Take the densities of water, oil, and mercury to be 1000 kg/ m', 850 kg/ m', and 13,600 kg/m', respectively. Air Water Mercury Fig. 1 1 8. (15 pts) Blood pressure is usually measured by wrapping a closed air-filled jacket equipped with a pressure gage around the HEART upper arm of a person at the level of the heart. Using a mercury manometer and a stethoscope, the systolic pressure (the maximum pressure when the heart is pumping) and the diastolic pressure (the minimum pressure when the heart is resting) are measured in mmHg. The systolic and diastolic pressures of a healthy person are about 120 mmHg and 80 mmHg, respectively, and are indicated as 120/80. Express both of these gage pressures Fig. 2 in kPa, psi, and meter water column. 9. (15 pts) Determine the power required for a l150-kg car to climb a 100-m-long uphill road with a slope of 30 (from horizontal) in 12 s (a) at a constant velocity, (b) from rest to a final velocity of 30 m/s, and (c) from 35 m/s to a final velocity of 5 m/s. Disregard friction, air drag, and rolling resistance. Answers: (a) 47.0 KW, (b) 90.1 kW, (c) 210.S kW Fig. 3 1150 kg 100 m 30 10. (15 pts) Water is being heated in a closed pan on top of a range while being stirred by a paddle wheel (Fig. 4). During the process, 30 kJ of heat is transferred to the water, and 5 kJ of heat is lost to the surrounding air. The paddle-wheel work amounts to 500 N m. Determine the final energy of the system if its initial energy is 10 kJ. Answer: 35.5 kJ 5 kJ