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You have been chosen to be the one of few to go to Mars. On Marsyou have a standard 55 gal water drum (height = 35 in, diameter =23 in) filled with water. You are unlucky that the pump is brokento get the water out. But you are an a NASA astronaut, you find aspike (length = 6.5 in to the point, width = 0.5 in and 0.5 in) anda hammer. You need the water to humidify the pressurized livingarea. After you find a spike, you are unlucky because your fellowastronaut has been effected by the space travel and the low gravityand is now not functioning right. He has now put holes in the drumwithout thinking. You have been wondering this whole mission on howyour partner made it though training and now you wish they wereback on earth. Gravity on Mars is 3.711 m/s2?.

(Part A) Use the Bernoulli Equation to solve for the volumetricflow rate at time t=0 sec, if your partner has put the hole 3inches from the top.

(Part B) Now do part A with Balance Equations (e.g., mass,linear momentum, angular momentum and energy) and solve for thevolumetric flow rate at time t=0 s. Do not set any velocity tozero. Is setting velocity to zero a good assumption?

(Part C) Computational Section: Before you could stop yourpartner, 3 more holes with the spike (total of 4) have gone downthe drum. The first hole is 3 in from the top, second hole is 5 infrom the first hole, the third hole is 5 in from the second holeand the last hole is 2 in from the third hole. Viscous effects arenegligible. Please attach (1) a graph of water height in the drumversus time and (2) a graph the fluid velocity versus time. (3)Note the time when it stops draining for each hole.

(Part D) Computational Section: Now do part C with the bottom 3holes created every second. Please attach (1) a graph of waterheight versus time and (2) a graph the velocity versus time. (3) Ifyou made it back at t=3 sec with a bucket, how much water can yousave? (4) Note the time it stops draining for each hole.