Investigate and Apply Introduction: Figure skaters are exceptional; athletes and artists. Their motion while skating is also an illustration of the use of vectors. The ice they skate is nearly frictionless surface - so any force applied by the skater has a direct impact on speed, momentum and direction. Vectors can be used to describe a figure skater's path on ice. When the skater starts moving in a direction she will continue moving in a direction and at that speed until she applies a force to change or stop a MOTION; this is more apparent on figure skating couples. To stay together, each skater must skate with the closest speed as their partner in the same direction. If one skater uses less force or applies the force in a different direction, the skaters will either bump into each other or separate and fly away from each other. If they don't let go of each other, the opposing forces may cause them to spin. Part 1 Scenario: Throwing a Triple Sal Chow The Triple Sal Chow throw is one of the most difficult moves for figure skating pairs. Both skaters must skate together in one direction with a lot of speed. Next, the male skater plants his feet to throw his partner and add his momentum to that of the female skater. She then applies force with one skate to jump up into the air. In order to make herself spin, she applies force at an angle to the initial direction and spin 3 times in the air before landing. There are 3 main vectors at work here. These vectors are the initial thrust of skaters; the force of the male skater applies to the female skater and the vertical force of the jump. Now you have to answer the following questions to be able to make the female skater spin smoothly. 1. Add vectors I and m to find the resulting horizontal vector (a) for the female skater. The angle between I and m is 20 degrees. (T//A) 2. Add vector a to the vector for the female skater's leap (n). The angle between a and n is 90 degrees. (T/I/A) 3. Draw a parallelepiped to show the resulting vector that the female skater will take. (C) Vector Magnitude in Newton Both skaters' initial thrust (1) 60 Female skater's change in direction to cause 40 the spin (m) Female skater's vertical leap (n) 20StanT Mini -UAVOM Part 2 momsoslgest racall Wait Structural Engineering. A structural engineer is designing a special roof for a building. The roof is designed to catch les ] rainwater and hold solar panels to collect sunlight for electricity. Each angled part of the roof exerts a downward force of 50 N, including the loads of the panels and rainwater. The building tonouborini will need a load-bearing wall at the point where each angled roof meets. 18m 7m hasge no longmi josrib s and ishida bill ed beilags 20 60 talW oof no ding e rolle stugil a odilozob of cleage tall is bas nolosub s ni gnivom ounitgon aids sivgit no Inoisgga som al eith MOITOM as tentteq youdi en booga lescolo silt thiwetsala a. Calculate the force of the longer angled roof at the point where the roofs meet. (K/U,C) nige of b. Calculate the force of the shorter angled roof at the point where the roofs meet. (K/U,C) 0180902 c. Calculate the resultant force that the load-bearing wall must counteract to support the roof. (K/U,C) d. Use the given lengths and angles to calculate the width of the building. cont (A) e. If the point where the 2 roofs meet is moved 2m to the left, calculate the angles that the sloped roofs will make with the horizontal and the length of each roof. Assume that the only point where the roofs meet can be adjusted and that height of each roof will not change. (T/I) f. Repeat parts a to c, using the new angles you calculate in part e. (A, K/U) g. Make a conjecture about the angle that the 2 roofs must make with the horizontal (assuming again that heights are the same but the point where the roofs meet can be adjusted) to minimize the downward force that the load-bearing wall will have to counteract. (T/I,C) h. Calculate the downward force for the angles you conjectured in part g. then perform the calculations for other angles to test your conjecture. (T/I,A,C)