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Density and upthrustEdexcel A-Level Physics: Mind map

Density
Upthrust origin

Density and upthrust

Materials

ρ = m/VU = ρVgU = W floats
Archimedes
Float or sink
Exam tips

Exam questions on Density and upthrust

  1. A technician investigates a rectangular block of aluminium measuring 0.050 m × 0.040 m × 0.025 m. The block has a mass of 0.135 kg.
    The block is cut into two equal halves. State what happens to the mass, volume and density of one half compared with the original block.2 marks
  2. A wooden block of mass 0.48 kg and total volume 8.0 × 10⁻⁴ m³ is placed in fresh water of density 1000 kg m⁻³. It floats at rest. Take g = 9.81 N kg⁻¹.
    Explain why the block floats with only part of its volume below the water surface.2 marks
  3. A metal sphere is hung from a newtonmeter. In air the reading is 3.60 N. The sphere is then lowered until it is fully submerged in water of density 1000 kg m⁻³, without touching the container, and the reading falls to 2.25 N. Take g = 9.81 N kg⁻¹.
    Calculate the volume of the sphere.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).