Sprinkler Power

Classical Mechanics Level 4

A lawn sprinkler sprays water in a parabolic arc. The maximum height of the arc above ground is \((h = 2m)\), and the stream lands on the ground a distance \((d = 10m)\) away from the sprinkler.

If the mass flow rate of water through the sprinkler is \((\frac{dm}{dt} = 10 kg /minute)\), determine the absolute minimum power (in Watts) required to operate the sprinkler.

Details and Assumptions:

The gravitational acceleration is \((g = 9.8 \frac{m}{s^{2}} )\)
Neglect losses, air resistance, movement of sprinkler parts, etc.
Give your answer to 2 decimal places


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