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4 Water leaks out from an open tank through a hole of area 2 mm...

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4 Water leaks out from an open tank through a hole of area 2 mm in the bottom Suppose water is filled up to a height of 80 cm and the area of cross section of the tank is 0 4 m2 The pressure at the open surface and at the hole are equal to the atmospheric pressure Neglect the small velocity of the water near the open surface in the tank a Find the initial speed of water coming out of the hole b Find the speed of water coming out when half of water has leaked out c Find the volume of water leaked out during a time interval dt after the height remained is h Thus find the decrease in height dh in terms of h and dt d From the result of part c find the time required for half of the water to leak out

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