Problem 1: A barrel of height H and base diameter D is initially filled with water at STP (p=1000kg/m?). At the base there exist two circular openings of diameter d and 2d, both of which are initially stoppered. 1 -mv2 = kmgh mi 2 = e) Now let's consider a more complicated scenario; the barrel is refilled and is allowed to drain as follows: The hole of diameter d is opened initially to allow water to flow. Once the water level reaches half the barrel height, the second hole of diameter 2d is opened and now water flows 2D/H/2 from both openings until the barrel empties. Show that the time to drain is d 12 gk 5 and calculate its value. (SHOW ALL YOUR WORK!!!) [10] 12