1. A man pulls a crate with a rope. The crate slides along the floor in the horizontal direction (x direction). The man exerts a force of 50 N on the rope, and the rope is at an angle 0 . Describe how the force components (Fx, Fy ) change as the angle increases from 0" to 90" and use your graph to explain your answer. Give a detailed explanation of the forces at 0 = 09, 45, and90 . Show a sample calculation at one angle for both components. t = 3h 30km/h Vwind = 30 km/h at 315" wind 100 km/h Vplane = t = 3h 100 km/h at 90 2 plane A plane flies due north (90 from east) with a velocity of 100 km/h for 3 hours. During this time, a steady wind blows southeast at 30 km/h at an angle of 315 from due east. After 3 hours, where will the plane's position be relative to its starting point? Show your work. 3. You travel from New Orleans, Louisiana, with the following vectors: New Orleans a Point A: 0 = 180,Ad = 483 km Point A -> Point B: 0 = 106,Ad = 347 km . Point B -> Point C: 0 = 106,Ad = 347 km Remember: east = 0', north = 90, west = 180 Use your map to find your final destination. Where is the final destination, and what is its displacement from New Orleans? Show a data table containing each vector and its x and y components. Include the values of Adnetx , Adnety , Adnet , tane, , and e, . Columbus Philadelphia Louisville Oklahoma City Birmingham N Dallas . New Orleans Houston 400 800 mi