(13%) Problem 5: In order to maintain the water quality in a hotel swimming pool, the tip of a disposable syringe is inserted just below the surface of the water such that the barrel of the syringe makes an angle 6' with the horizontal, as shown. The plunger is drawn backwards at a constant rate for a distance d in a time interval Ari w $3 33% Part (a) At the moment that the barrel of the syringe is lled to the length d, as indicated in the drawing, the plunger continues being drawn back at the same constant rate. For this moment, enter an expression for the gauge pressure at the point where the water in the barrel meets the seal at the lower-end of the plunger. Neglect the diameter of the syringe. In addition to the variables from the problem statement, you may also include the density of water, pw, and the magnitude of the acceleration due to gravity, g. Grade Summary P gauge = 9w g d Sin(9)l Deductions Potential 100% 3111(6) Submissions Attempts remaining: 9W ( per attempt) _ g dEiled view l Hints: for a deduction. Hints remaining: _ Feedback: deduction per feedback. AB 33% Part (b) Consistent with Part (a), what is the gauge pressure, in pascals, at the point where the water in the barrel meets the seal at the lower-end of the plunger? Assume that the plunger has been drawn back 0' = 7.21 cm in At = 4.47 s, and the angle of the syringe is 6 = 38.7". For the density of water, use 1.00 x 103 kg/rn3. A 33% Part (c) Assume that the angle angle of the syringe is held at 9 = 38.7\" , and the plunger is drawn back to a maximum distance dmax = 8.44 cm. Once the plunger is no longer being drawn back, what is the gauge pressure, in pascals, at the lower end of the barrel of the syringe, a point that is level with the surface of the pool