This is A level physics

Question 16 A bucket of negligible mass contains 1.65 kg of water. A piece of string is tied to the handle of the bucket and the bucket is then spun round in a vertical circle at a frequency of 1.45 Hz. The centre of mass of the water can be considered to be moving in a vertical circle of radius 0.625 m at a constant speed. a) i. Determine the tension in the string when the bucket is at its highest point. ii. Determine the tension in the string when the bucket is at its lowest point. iii. Determine the minimum tangential velocity required to keep the water in the bucket throughout the circular motion. iv. Determine the time period for this minimum tangential velocity. b) i. Define geostationary orbit of a satellite. ii. Determine the height above the surface of the Earth of a geostationary satellite. Mass of Earth = 5.974 x 1024 kg Radius of Earth = 6371 km iii. The Moon orbits the Earth in a period of 27.3 days. Determine the radius of its orbit around the Earth. iv. Determine the average density of the Moon if its gravitational field strength at the surface of the Moon is 1.622 N kg" and its radius is 1.737 x 105 m