Exercícios Resolvidos - Hidrostática | Parte 1

Exercises solved in this video 1) Containers A, B, and C in the figure contain the same homogeneous liquid, and in all of them the liquid level reaches height h. Let pA, pB, and pC be the pressures exerted by the liquid on the bottom walls of containers A, B, and C, respectively. Therefore, it is correct to state that: a) pA = pB = pC b) pA greater than pB greater than pC c) pA less than pB less than pC d) pA = pB greater than pC e) pA greater than pB less than pC 2) What would be the maximum length of a straw that, placed vertically, would theoretically allow someone to suck an aqueous liquid with a density of 1 g/cm³, up to the level of their mouth? a) 2m b) 4m c) 6m d) 8m e) 10m 3) Crew members attempt to escape from a damaged submarine, 100 m below the surface. What force must they apply to the 0.5 m by 0.5 m hatch to push it out? Consider the density of ocean water to be 1000 kg/m³. a) 1.2 x 10⁶ N b) 2.5 x 10⁶ N c) 5.0 x 10⁶ N d) 7.2 x 10⁶ N e) 7.5 x 10⁶ N 4) What is the increase in pressure of a fluid in a syringe when a nurse applies a force of 45 N to the syringe plunger, which has a radius of 1.0 cm? a) 1.0 x 10⁵ Pa b) 1.1 x 10⁵ Pa c) 1.4 x 10⁵ Pa d) 1.1 x 10³ Pa e) 14.3 Pa 5) In the figure, a block with a specific mass ρ = 800 kg/m³ floats in a fluid with a specific mass ρf = 1200 kg/m³. The block has a height H = 6.0 cm. What is the height h of the submerged part of the block? a) 1.0 cm b) 2.0 cm c) 3.0 cm d) 4.0 cm e) 5.0 cm 6) A submarine, initially at rest at a point at level 0 (water surface), indicated in the figure, floods its ballast compartments and sinks vertically, passing through levels 1, 2, and 3. At this location, the atmospheric pressure is normal (1.0 atm) and |g| = 10 m/s². Knowing that the absolute density of water, assumed to be homogeneous, is 1.3 x 10³ kg/m³ and considering 1.0 atm = 1.0 x 10⁵ Pa, what is the increase in pressure registered by the submarine's instruments when it descends from one of the aforementioned levels to the immediately lower one? a) 1.0 atm b) 1.1 atm c) 1.2 atm d) 1.3 atm e) 1.4 atm