1) You are swinging a bucket full of water in a vertical circle. The radius of the circle is 150 cm and the bucket and water have a total weight of 30 N. When the bucket is at the bottom of its circular path the tension in the cable is 120 N. When the bucket is at the top of its circular path the tension in the cable is 20 N. (a) What is the speed of the bucket at the bottom of the swing? (b) What is the speed of the bucket at the top of the swing? (c) What is the minimum speed that the bucket needs at the top of the circular path so that the water will not spill out of the bucket