1. An object has three forces, F,. F,, and F, acting on it. The object is balanced, meaning it's stationary. What can you conclude about the net force _ F of the object? What mathematical relation do F., F,, and F, satisfy? (5 pts) 2. F,=0.784 N @ 0,=110, and F,=1.47 N @ 0,=230, Express F, and F, in unit vector notation. (5 pts) 3. Find F, in unit vector notation. Then find its magnitude and direction. (5 pts) 4. On the force table, position one pulley at 110 and hang a total (hanger plus mass) mass of 80 g on it. This is F,. Position another pulley at 230 . and hang a total (hanger plus mass) mass of 150 gon it. This is F,. For the third pulley, position it at the appropriate angle with the appropriate mass according to what you calculated in question 3. Check to see if the center ring is exactly centered. If it's not, add/remove some mass and/or move the pulley around slightly. Do this until the ring is exactly centered. Record your measured (experimental) F, (magnitude and angle). Does your measured result agree with your calculation? If not, what causes the difference? (10pts)1. (Overall Displacement) A delivery truck travels 3.0 km due north to deliver the first parcel, then travels 5.2 km due west to deliver the second parcel, and finally travels 4.2 km heading northeast. What is its overall displacement? Express your answers in unit vectors first, then find the magnitude and angle. (10pts) 2. (Ferry boat on the Charles) The engine of a ferry boat can maintain a constant speed of 6.0 m/'s. The speed of water flow is 4 m's down the river. In order for the ferry boat to reach the dock right across the river, what direction must the captain drive the boat? At what final velocity will the boat move (relative to the shore) under the effect of water flow? If the river is 200 m wide, how long does it take for the boat to reach there? (10pts) Hint: Draw a picture! Other Hint: You want to direct the boat such that a component of velocity of the boat "cancels out" the river velocity