R h1 123. A cylindrical pipe with a crosssectional radius r 21.30[cm] is plunged into a | : 2.20[m] tall open water drum that is initially completely filled with water (pwater = [kg/m3]). The pipe goes h'l : 0.25 [m] above the drum before dropping down h2 = 2.50 [m] below the base of the drum as shown. The cross-sectional radius of the top side of the pipe is R : 2.10 [cm]. A. (3 points) How fast is the water going out of this pipe? B. (3 points) What is the pressure of the liquid at the top of the pipe? Assume that the system is exposed to 1.00 [atm] of air pressure. C. (4points) Whatisthemaximumheightthepipecangoabovethe drumbeforewaterstOpsflowing out of the pipe? For liquid flow to be continuous, liquid's pressure must not fall before its vapor pressure. Assume that vapor pressure in this case is 2.30 [kPa]. Sun Moon Earth4.Consider the Sun, Moon, and Earth in a configuration shown below. We set the Earth to be at the origin and consider the celestial bodies as point particles. Given the distance from Earth to Sun to be about rES = 1.50 x 'IO"1'I [m] and the distance from Earth to Moon to be about rEM = 3.85 x 10"8 [m]. A. (3 points) What is the force exerted by the Sun on Earth? (Mass of Earth: mE = 5.97 x 10A24 [kg], Mass of Sun: 1418 : 1.99 x 10A30 [kg]) B. (3 points) What is the force exerted by the Moon on Earth? (Mass of Moon: mM 2 7.34 x 10"22 [kg]) C. (2 points) What is the magnitude of the total force experienced by Earth? D. (2 points) What is the magnitude of the force exerted by the Sun on Moon