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1 markEffects of Forces

CAPE Physics Unit 1 · 2008 · Paper 2 · Question 1(b)

The terminal velocity, Vₜ, of the lead sphere is given by the formula Vₜ = mg / (6πkr), where k is a temperature-dependent constant representing resistance to motion in the fluid.

The terminal velocity, Vₜ, of the lead sphere, is given by Vₜ = mg / (6πkr) where k is a temperature-dependent constant that determines the resistance to motion in the fluid.

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  1. 1(a)Table 1 shows the data collected in a terminal velocity experiment. A small lead sphere of mass m and radius r was timed as it fell through glycerine contained…[1 mark]
  2. 1(a)(i)On the grid on page 5, plot a graph of velocity, V, against time, t.[5 marks]
  3. 1(a)(ii)Explain the shape of the graph and use it to identify the terminal velocity, Vₜ, of the sphere.[2 marks]
  4. 1(a)(iii)Determine the average acceleration of the sphere between t = 0.5 s and t = 0.7 s.[2 marks]
  5. 1(b)(i)Determine the units of k.[3 marks]
  6. 1(b)(ii)Given that m = 5 x 10⁻³ kg, and r = 1 x 10⁻³ m, determine the value of k for glycerine at 30 °C.[2 marks]
  7. 1(b)(iii)Explain how the terminal velocity will be affected if a sphere of the same mass but twice the radius is used.[1 mark]

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