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CAPE Physics Unit 1 · 2013 · Paper 2

35 questions and parts from this paper. Open one to see it in full, then practise it on Quelpr and get it marked against the mark scheme.

Practise this paper
  1. 1(a)(i)1 markComplete Table 1 by inserting the missing values.
  2. 1(a)(ii)4 marksOn the grid provided on page 5, plot a graph of velocity, v, against time, t.
  3. 1(a)(iii)2 marksUsing your graph, calculate the height, h, above the ground from which the ball was dropped.
  4. 1(b)(i)2 marksWrite expressions for the initial vertical and horizontal components of velocity v_yi and v_xi respectively.
  5. 1(b)(ii)2 marksWrite expressions for the vertical and horizontal displacements at any time t, for y and x respectively.
  6. 1(b)(iii)4 marksHence, show that the path traced out by the stone is parabolic.
  7. 2(a)4 marksIdentify ONE similarity and ONE difference between transverse and longitudinal waves. Give an example of EACH type of wave.
  8. 2(b)3 marksA rifle was fired in a valley. The echo was heard 8.3 seconds later. If the temperature in the valley is 10 °C, determine the distance between the shooter and the reflecting valley wall. (Assume that the speed of sound…
  9. 2(c)(i)2 marksComplete Table 2 on page 8 by inserting the missing values.
  10. 2(c)(ii)4 marksOn the grid provided on page 9, plot a graph of d against t/2. Draw the best straight line through the points.
  11. 2(c)(iii)2 marksUse your graph to determine the speed of sound, s.
  12. 3(a)2 marksShow that both sides of the relation PV = (1/3) N mc² have the same fundamental units.
  13. 3(b)3 marksUsing the equation in (a) above, show that the mean kinetic energy of the molecules in 1 mole of an ideal monatomic gas is equal to (3/2) kT, where k is the Boltzmann constant.
  14. 3(c)2 marksGiven that the root-mean-square (rms) speed of the molecules in a gas is inversely proportional to the square root of its molar mass, show that the ratio of the rms speeds of nitrogen to oxygen molecules in air is 1.07.…
  15. 3(d)3 marks1.12 moles of gas in a closed container at a temperature of 273 K exert a pressure of 1.01 × 10⁵ Nm⁻² on the walls of the container. Air is then extracted from the container so that the temperature is reduced to 223 K…
  16. 3(e)3 marksUse the graph to determine the work done in this expansion.
  17. 3(f)2 marksIf the expansion along AB had continued with no change in direction, what would be the volume of the gas at a pressure of 2 × 10⁵ Nm⁻²?
  18. 4(a)5 marksState fully what is meant by the expression 'the Principle of Moments'. With the aid of an appropriate diagram, use the Principle of Moments to explain how it is possible for a person of mass 50 kg to lift someone twice…
  19. 4(b)(i)1 markState the law of conservation of momentum.
  20. 4(b)(ii)a)10 marksAssuming that the Law of Conservation of Momentum applies for this collision: Calculate the ratio of the masses of the two objects, m₁:m₂.
  21. 4(b)(ii)b)1 markCalculate the total kinetic energy of the two objects before the collision, given that m₁ = 8.5 kg.
  22. 4(b)(ii)c)1 markWas this an elastic collision? Explain why or why not.
  23. 5(a)3 marksIf the length of the wire, L, is 0.4 m, calculate the speed of the waves moving along it.
  24. 5(b)(i)2 marksWhat will happen to the speed of the waves moving along the wire if the tension is doubled (all other factors remaining the same)?
  25. 5(b)(ii)1 markWhat will happen to the speed of the waves moving along the wire if the length is doubled (all other factors remaining the same)?
  26. 5(c)(i)7 marksDetermine the following properties of the wave: Amplitude
  27. 5(c)(ii)1 markDetermine the following properties of the wave: Wavelength
  28. 5(c)(iii)1 markDetermine the following properties of the wave: Frequency
  29. 5(c)(iv)1 markDetermine the following properties of the wave: Speed
  30. 5(d)3 marksBriefly describe a practical application in which this type of sound wave may be used.
  31. 6(a)5 marksWith the aid of a diagram, derive the expression P = hρg at a depth, h, in a liquid of density, ρ.
  32. 6(b)(i)5 marksDetermine 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]
  33. 6(b)(ii)1 markDetermine 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.
  34. 6(c)(i)5 marksExplain what happens to the wire at points A and B.
  35. 6(c)(ii)1 markUsing the graph, determine the strain energy in the wire at point X.

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