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5 marksMechanical Properties of Materials

CAPE Physics Unit 1 · 2013 · Paper 2 · Question 6(b)(i)

An aluminum cube, each side measuring 1 m, at sea level, lies on the sea floor at a depth of 2.5 km.

Determine the pressure exerted on the cube at this depth. [Assume that the density of sea water is constant and equal to 1.04 × 10³ kgm⁻³]

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Other parts of this question

  1. 6(a)With the aid of a diagram, derive the expression P = hρg at a depth, h, in a liquid of density, ρ.[5 marks]
  2. 6(b)(ii)Determine the decrease in length (in mm) of any side of the cube resulting from this pressure, given that the Young's Modulus for aluminum is 69 GPa.[1 mark]
  3. 6(c)(i)Explain what happens to the wire at points A and B.[5 marks]
  4. 6(c)(ii)Using the graph, determine the strain energy in the wire at point X.[1 mark]

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