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Problems 1, 2 & 3 are worth 4 points each A 2 kg bucket with 4 kg of water is raised vertically by means of a rope. If the maximum 1. tension the rope can stand is 70.8 N. what must be the maximum acceleration? (A) 2 m/s (B) 7 22 m/s? (C) 11 8 m/s? (D) 17.7 m/s? (E) None of the above 2 A river is 85 m wide with straight parallel banks, and has a current that flows at 1.2 m/s due east If a boat starting out from the south bank, heading directly across to the north bank, ends up 56 m downstream, what is the velocity of the boat in still water? (A) 1.2 m/s (B) 1.82 m/s (C) 0.6 m/s (D)2.18 m/s (E) None of the above 3. A car moving at 20 m/s slides on a patch of ice. If the coefficient of friction between the tires and the ice is 0.2, how long does it take to come to rest? (A) 100 s (B) 2.04 s (C) 10.2 s (D) 20 s (E) None of the above Problems 4 & 5 are worth 6 points each 4. A plane that can fly at 500 km/h in still air needs to reach a city that is 38 north of east. If wind blows from the south at 72 km/h, in what direction should the pilot head? (A) 31 21" East of North (B) 31.21 North of East (C) 58.79" north of East (D) 38" East of North E) None of the above 5. A 5 kg box is moved across a smooth horizontal floor by applying a force at 34 below the horizontal. If the resulting acceleration along the floor is 1.4 m/s?, how much force was used? (A) 7N (B) 9.8 N (C) 12.52 N (D) 8.44 N (E) None of the above