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14.1 Density and states of matter

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Question 14

An engineer is analysing a spherical aluminium micro-sphere used in additive manufacturing.

The mass, MMM, of the micro-sphere, of radius RRR, is given by the relation:

M=4πρR33 M = \frac{4 \pi \rho R^3}{3} M=34πρR3​

where:

  • M=3.2×10−6 kgM = 3.2 \times 10^{-6} \text{ kg}M=3.2×10−6 kg
  • ρ=2.7×103 kg/m3\rho = 2.7 \times 10^3 \text{ kg/m}^3ρ=2.7×103 kg/m3 (the density of aluminium)

Calculate the radius, RRR, of this micro-sphere. Give your answer in metres to 2 significant figures.

[2]
Markscheme

14.1 Density and states of matter Questions

  1. GCSE
  2. /Physics
  3. /14.1 Density and states of matter

55 exam-style questions on Edexcel GCSE Physics 14.1 Density and states of matter, covering 14.1.1 Kinetic theory and states of matter, 14.1.2 Density, and 14.1.3 Density and changes of state. Each one has a worked solution and a mark scheme showing where the marks go.

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