A spring (with spring constant k=45 N/m) is compressed by 0.2 meters. A 0.5 kg ball is placed on top and the spring is released in a perfect energy transfer. How
high will the ball go? (show your work and conservation of energy equations)

Water is siphoned from a large tank and discharges into the atmosphere through a 50-mm diameter tube. the end of the tube is b = 2.1 m below the tank bottom which is a = 7.4 m deep, and viscous effects are negligible. determine the maximum height h over which the water can be siphoned without cavitation occurring. atmospheric pressure is 101.4 kpa, and the water vapor pressure is 1.79 kpa (absolute)