Create a roller coaster vertical loop using pipe insulation as illustrated in the image below (points 1, 2 and 3 on the image below will make sense after further reading). Locate the minimum height of the roller coaster vertical loop track at which a small plastic sphere is able to travel along the complete track if it is launched at rest, location 1 on the image below. Utilizing energy conservation principles, calculate the velocity of the small plastic sphere at the top of the loop, location 2 on the image below, and, calculate the velocity of the small plastic sphere at the bottom of the loop, location 3 on the image below. Please note that since the small plastic sphere is launched at rest, the velocity of the small plastic sphere at location 1, on the image below, is zero, v1 = 0. Energy loss due to friction is to be ignored. MASS OF THE SMALL PLASTIC SPHERE = 0.0076 kg. WEIGHT OF THE SMALL PLASTIC SPHERE = 0.0074 kg. HEIGHT OF LOCATION 1, in the image below = 0.533 M. HEIGHT OF LOOP ( LOCATION 2), in the image below = 0.34 M. RADIUS OF LOOP = 0.17 M. What is the velocity of the small plastic sphere at the top of the loop, location 2 in the image below, v2? What is the velocity of the small plastic sphere at the bottom of the loop, location 3 in the image below 1 2 3