Question

need explanation plz

r-20m 6-60m 2. Consider the image above that shows the trajectory of a roller coaster car. The roller coaster car has a mass of 200kg and is released from rest at position A. a. Find the velocity of the car at positions B, C, and D b. Determine the maximum possible radius of the circle such that the car will not lose contact with the track c. Suppose a breaking force (F 10 newtons) is applied as the car traverses the distance, x, between positions B and E i. How far does that distance, x, need to be such that the car will come to a complete stop at position E force? ii. What is the total work done by the breaking

Answer 1

Mass of roller coaster car is m = 200 kg h = 60 m r = 20 m (a)Let v_B, v_c and v_D be the velocities of car at points B, C & D from energy conservation Energy at point A = Energy at point B m g h = 1/2 m v^2_B \r\n v_B = squareroot 2 g h = squareroot 2 times 9.8 times 60 v_B = 34.29 m/s Now Energy at point A = Energy at point c m g h = 1/2 m v^2_c + m g r 9.8 times 60 = v^2_c/2 + 9.8 times 20 v^2_c = 392 times 2 v_c = 28 m/s Now Energy at point A = Energy at point D m g h = 1/2 m v^2_D + mg.2r 9.8 times 60 = v^2_D/2 + 9.8 times 2 times 20 v^2_D = 392 v_D = 19.79 m/s \r\n (b) Let R be the maximum radius of the circle. If the car will not lose contact..