A cylinder containing water up to a height of 25 cm has a hole of cross-section 
in its bottom. It is counterpoised in a balance. What is the initial change in the balancing weight when water begins to flow out
Text Solution
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Let A = The area of cross section of the hole
v = Initial velocity of efflux
d = Density of water,
Initial volume of water flowing out per second = Av
Initial mass of water flowing out per second = Avd
Rate of change of momentum = Adv 2
Initial downward force on the flowing out water = Adv 2 So equal amount of reaction acts upwards on the cylinder.
∴ ∴ Initial upward reaction = 
[As 
]
Initial decrease in weight 
gm-wt.
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