1. You are watching the Olympic bobsledding event on television and notice that the bobsled turns on a curve that is banked at an angle of 50.0 with respect to the horizontal direction. If the curve has a radius of 45.0 meters along the horizontal direction, what is the fastest speed the bobsled can negotiate the turn without any 50 frictional force? Group Problem While laying on the South Oval grass on a beautiful spring day, you notice two African swallows flying toward each other, both of them carrying coconuts. The first swallow is flying north horizontally with a speed of 20 m/s and the other swallow is flying south horizontally at the same height with a speed of 15 m/s. The mass of the first swallow is 0.27 kg and the mass of his coconut is 0.80 kg. The mass of the second swallow is 0.22 kg, and her coconut has a mass of 0.70 kg. Because the swallows are also enjoying the spring day and not really noticing where they are going they collide and lose their coconuts. Immediately after the collision, the first coconut travels 10 west of south with a speed of 13 m/s, and the second coconut moves 30 east of north with a speed of 14 m/s. The two birds are very startled, get tangled up, and stop flapping their wings as they travel off together. a) Explain why you can use conservation of momentum to solve this problem along the two horizontal directions. b) Explain why you cannot use conservation of mechanical energy to solve this problem. c) Draw a diagram of the situation before the collision, labeling the mass and velocity of the swallows/coconuts. d) Draw a diagram of the situation after the collision, labeling the mass and velocity of the swallows/coconuts. e) Determine the total momentum of the swallows and coconuts before they collide. Remember that momentum is a vector so 1. Determine the total initial momentum of the swallows/coconuts in the east-west direction. 2. Determine the total initial momentum of the swallows/coconuts in the north-south direction. f) We will use conservation of momentum to determine the velocity of the tangled birds (magnitude and direction) immediately after the collision. 1. Use conservation of momentum in the east-west direction to find the final velocity of the tangled swallows in that direction. 2. Use conservation of momentum in the north-south direction to find the final velocity of the tangled swallows in that direction. 3. Find the magnitude of the final velocity of the tangled swallows. 4. Find the direction of the final velocity of the tangled swallows. g) Would the result be the same for European swallows? (For more information on swallows carrying coconuts see https://www.youtube.com/watch?v=lillW-ovxOY)