A continuous flow!

An overhead pipe spews out water at a constant initial speed of \(15\text{ ms}^{-1}\), vertically downward. In a fraction of a second, the water hits the floor \(2\text{ m}\) below the pipe. The pipe continues to spew out water indefinitely. At a certain time after the start (say after 10 minutes), a freeze gun is used to freeze all the water that is mid-air.

Find the height \(h\) (in meters) of the centre of mass of the frozen mass from the floor. Submit your answer as \( \lfloor 1000 h \rfloor \).

Details and Assumptions:

  • Assume the water flow to be continuous and non-turbulent i.e., product of the circular cross-section area and speed is a constant.

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