Fluid mechanics,wooden block in water and oil

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SUMMARY

The discussion focuses on a physics problem involving a cubical wooden block submerged in a liquid interface of water and oil. The block, measuring 10 cm on each side, is in equilibrium with its lower surface 2 cm below the interface. The density of oil is specified as 790 kg/m³. Key calculations involve determining the absolute pressure at both the upper and lower faces of the block, as well as calculating the mass and density of the wooden block using the principles of fluid mechanics.

PREREQUISITES
  • Understanding of fluid mechanics principles, particularly buoyancy.
  • Knowledge of pressure calculations in fluids, including the hydrostatic pressure formula.
  • Familiarity with the concept of equilibrium in fluid systems.
  • Basic algebra skills for solving equations related to mass and density.
NEXT STEPS
  • Study the hydrostatic pressure formula: P = Po + ρgh.
  • Learn about buoyancy and Archimedes' principle in fluid mechanics.
  • Explore the relationship between mass, volume, and density in solid objects.
  • Practice solving similar problems involving fluid interfaces and equilibrium conditions.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone preparing for exams in fluid mechanics or related fields, particularly those focusing on buoyancy and pressure calculations in fluids.

hannam
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Homework Statement


A cubical block of wood, 10 cm on a side, is placed in a
glass cup whose higher end is open to the atmosphere. The
wood is in equilibrium at the interface between water and oil
with wood’s lower surface 2 cm below the interface. The
density of oil is 790 kg/m3.
a) What is the (absolute) pressure at the lower and upper face of
the wood block?
b) What are the mass and density of the block?

Homework Equations



fb=p liquid * v sinked*g
p object * v object = p liquid * v sinked
P1= Po+ p*h*g

The Attempt at a Solution


0.02*1 + 790*x = p wood*(2+x) =m
does it say edge of the wood is 10 cm? my english is not very good and if it is 10 cm, i can find m.
but still i have no idea about the pressure part.
my exam is tomorrow. any help is appreciated :(
 
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