Alternate Assignment
Answer the question, using complete sentences. Include all data tables and graphs in the questions below. When you have finished, submit this assignment to your teacher by the due date for full credit.
(8 points)
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 q. 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 q = 0°, 45°, and 90°. Show a sample calculation at one angle for both components.
Answer:
The angle will determine how much force is exerted in horizontal direction and vertical direction. According the graph, the Fx(N) or the horizonal/ x direction, is greater than the Fy(N) or the veritcal/ y direction until the 45° angle where it is equal. Past that, the y direction is greater. When q = 0, the force is all horizontal since the angle is zero. Fx = 50*Cos(0) = 50 N Fy = 50*Sin(0) = 0 N
At 45 degrees, Fx = Fy = 35.355 N
Fx = 50*Cos(45) = 35.355 N Fy = 50*Sin(45) = 35.355 N
And at 90 degrees, Fy is the only component acting, thus Fy is the most.
Fx = 50*Cos(90) = 0 N Fy = 50*Sin(90) = 50 N
(8 points)
2.
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.
Answer: 360-315=45 degrees =45 degrees x=30cos45= 21.21 y=30sin45=21.21 100-21.21=78.79 78.79*3=236.37 21.21*3= 63.63
=sqr(236.37)^2+(63.63)^2=237.32 tanL=(236.37/63.63)=74.74
237.32 km away at 74.74 degrees North of east
(9 points)
3. You travel from New Orleans, Louisiana, with the following vectors:
New Orleans à Point A: q =