There are two identical small holes on the opposite side of a tank containing a liquid. The tank is open at the top. The difference in height of the two holes is h as shown in the figure. As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to :

Question

There are two identical small holes on the opposite side of a tank containing a liquid. The tank is open at the top. The difference in height of the two holes is h as shown in the figure. As the liquid comes out of the two holes, the tank will experience a net horizontal force proportional to :, h 1 / 2, h, h 3 / 2, h 2

MARKS App · Accepted Answer

F = v dm dt = v ρ A dx dt F = ρ A v 2 F net = F 1 - F 2 = ρ A v 1 2 - v 2 2 and from equation as speed of efflux v 1 2 = v 2 2 + 2 gh ⇒ v 1 2 - v 2 2 = 2 gh F net = 2 ρ Agh α h

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