Last Name Starting Letter: A through L #1AL. A large promotional balloon is tethered to the top of a building by two guy wires attached at points 20 m apart. If the buoyant force on the balloon is 850 N, and the two guy wires make angles of 580 and 660 with the horizontal, find the magnitude of the tension in each of the wires. (Answer: 417, 543) (6 marks) #2AL. A plane is steering east at a speed of 240 km/h. What is the ground speed of the plane if the wind is from the northwest at 65 km/h? What is the plane's actual direction? (Answer: 290, 80.9) (6 marks) #3AL. A river is 2 km wide and flows at 6 km/h. A motor boat that has a speed of 20 km/h in still water heads out from one bank perpendicular to the current. A marina lies directly across the river on the opposite bank. a) How far downstream from the marina will the boat reach the other bank? (Answer: 1) (3 marks) b) How long will it take? (Answer: 1) (6 marks) #4AL. A piece of luggage is on a conveyer belt that is inclined at an angle of 280. If the luggage has a mass of 20 kg, determine the components of the force of gravity parallel to and perpendicular to the conveyer belt. (Answer: 92, 173) (6 marks) #5AL. VECTOR VIDEO QUESTION - A ship sailed 15.2 km [N 50 E] to go around a shoal, and then 22.4 km [N 70. W] to reach harbour. Determine the magnitude and direction of the resultant of the ship. (15 marks) Last Name Starting Letter: M through Z #1MZ. A man weighing 70 kg lies in a hammock whose ropes make angles of 20 and 250 with the horizontal. What is the tension in each rope? (Answer: 879 and 912) (6 marks)