Steam locomotives require water at such rates that the storage tank behind the l

Question

Steam locomotives require water at such rates that the storage tank behind the locomotive was refilled at 100 mile interverals. one technique used was to place a long tank between the rails and the water the water would be scooped up as the locomotive passed over the tank. The water level of the locomotive storage reservoir is 4 meters above the water level on the rails. find teh minimum speed at which the train could pass over the tank and lift water up to teh full 4 m height. (hint: consider the locomotive to be stationary and neglecting all losses)

Explanation / Answer

only thing that comes to my mid is the use of bernoullis equation............P +.5pV^2+pgh=constant .............Applying it to the two points of the locomotive and other,,,,,,,,,we get .........P+.5pv^2+0=P+0+pgh.......v=sqrt(2*9.81*4)=8.85 m/s

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