You are designing a fountain on the moon, where gravity is one-sixth of that on Earth. You begin with a model fountain, on Earth, where the jet rises 65 feet above a lake surface. Both prototype and model fountains use water, and both have the same upward velocity where the water discharges from the jet nozzle. Neglect atmospheric resistance (from the atmosphere on Earth, and from the air inside the space station on the moon). Part A What dimensionless parameter will you match between the prototype and the model? Part B How high would the jet rise on the moon? [ft]

You are designing a fountain on the moon, where gravity is one-sixth of that on Earth. You begin with a model fountain, on Earth, where the jet rises 65 feet above a lake surface. Both prototype and model fountains use water, and both have the same upward velocity where the water discharges from the jet nozzle. Neglect atmospheric resistance (from the atmosphere on Earth, and from the air inside the space station on the moon). Part A What dimensionless parameter will you match between the prototype and the model? Part B How high would the jet rise on the moon? [ft]