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Test (elaborations) PHYSICS - HYDROSTATIC PROBLEMS

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  • PHYSICS - HYDROSTATIC PROBLEMS
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The document consists of 3 hydrostatic problems with detailed solutions. After looking carefully at it, students will have strong knowledge to cope with any problems at their exam.

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Document information

  • March 2, 2023
  • 4
  • 2022/2023
  • Exam (elaborations)
  • Questions & answers

Subjects

  • boyant forces
  • hydrostatics
  • problems
  • detailed solutions

Written for

  • Secondary school
  • PHYSICS - HYDROSTATIC PROBLEMS
  • 4
All documents for this subject (1)

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deranjanahary

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HYDROSTATIC PROBLEMS WITH DETAILED SOLUTIONS
FOR GRADE 9 TO 11



Problem 1

A U-shaped tube is partially filled with sea water, whose
density is known to be ρ1 = 1.024 g. cm−3 . At the right
end, an oily liquid of unknown density ρ2 is added.
Since oil and sea water are immiscible, an interface is
formed, as shown in the figure below. The heights of the
columns are h1 = 2.1cm and h2 = 2.4cm,
respectively. Determine the density ρ2 .


Problem 2

At a smelting factory, a metallic piece is produced using
copper, whose density is ρCu = 8.93 g. mL−1. Because
of an error during the production process, an air bubble
was formed in its interior. Since the bubble’s volume Vb
is unknown, the piece is subject to a series of tests. Its
weight is W = 25N when measured dry and W0 =
20N when fully submerged in water. Determine the
object’s density ρ and the bubble’s volume Vb .

Note : g = 9.8 m. s −2 and ρair ∼ 0




Problem 3

In a square container, a lab technician carefully pours
vinegar (1.0493 g. mL−1 ) and palm oil (0.876 g. mL−1 ).
The container and the liquids are then cooled to 0°C. A
block of ice (0.917 g. mL−1 ) is then placed floating at the
interface, as shown in the figure below. Determine the
percentage of ice that will be submerged in vinegar,
disregarding any melting or dissolution.

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