Add 100 g of water to one of the two communicating vessels with water. How much will the water level in the vessels

Add 100 g of water to one of the two communicating vessels with water. How much will the water level in the vessels rise if the cross-sectional area of each vessel is 10 cm2.

Find the volume of water poured into one of two communicating vessels:
W = m / ρ,
where the mass of the added water, m = 100 g = 0.1 kg; ρ is the density of water, ρ = 1000 kg / m3;
W = 0.1 / 1000 = 0.0001 m3.
The total cross-sectional area of two communicating vessels:
S = 2 S1 = 2 × 0.0010 = 0.002 m2.
Thus, as a result, the water level in the vessels will increase by the value:
Δh = W / S = 0.0001 / 0.002 = 0.05 m = 5 cm.
Answer: 5 cm.



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