1) (application) The gure to the right depicts two standpipes, connected together at the bottom by a narrow tube, with water levels shown for three _.p lane: time later time different times. In each case water is owing from the left to the right through the connecting tube at the bottom. a) b) c) d) g) For which of the three times is the ow of water through the connecting tube the largest? Or is the current the same at all times? Explain your answer using our energy-density model for uid ow. Given your answer to part (a), for which time will the volume of the standpipe on the left be changing the fastest? If the volume changes faster at one time, decide how much faster. Make a sketch of a reasonable graph of the volume VL of the standpipe on the left as a function of time. On this same graph, also show VR vs. time. Refer to graphs from Activity 5.14 A). Make a sketch of a reasonable graph of the current I through the connecting tube as a function of time over the same times as shown in the pictures. How are the graphs in (c) and ((1) related? (Hint: what are the units of current?) Determine the initial current assuming that initially all the water is in the left standpipe. Come up with a general equation for the current through the narrow pipe as a function of time (refer to Activity 5.14). Is the expression consistent with the plots you found above? The gure below shows two tanks of water connected by the same size tube that connected the smaller standpipes above. Each tank has a horizontal cross-sectional area about 500 times bigger than the standpipes above. On the same graph you made in part (d), show the current through this connecting tube as a function of time (i.e. use the same current scale and the same time scale)