CAPE Physics Unit 1 · 2006 · Paper 2

67 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.

1. 1(a)3 marksUse the data to plot a graph showing how the force on the car varies with time.
2. 1(b)(i)3 marksWhat physical quantity is represented by the area under the graph?
3. 1(b)(ii)3 marksIf the area under the graph is 186 one-centimetre squares what is the value of this quantity using the units given?
4. 1(c)2 marksFind the speed of the car just before impact, assuming it came to rest in contact with the wall.
5. 1(d)2 marksWhat was the maximum acceleration experienced by the car?
6. 2(a)3 marksBriefly explain how you would take readings in order to determine the magnification of the image for various values of x.
7. 2(b)1 markFigure 2 is a plot of m versus x.
8. 2(b)(i)1 markShow that the gradient of the graph is 1/f.
9. 2(b)(ii)1 markShow that when m = 0, x + d = f.
10. 2(c)(i)1 markDraw the best straight line through the points.
11. 2(c)(ii)a)2 marksDetermine the gradient of the graph.
12. 2(c)(ii)b)1 markDetermine the focal length, f, of the lens.
13. 2(c)(ii)c)1 markDetermine the position d of the lens inside the tube.
14. 3(a)(i)1 markDraw a circuit diagram showing how the values of the p.d. across the thermistor and the current flowing through it might be measured.
15. 3(a)(ii)2 marksDescribe briefly the experimental set-up and suggest ONE precaution which might be taken to ensure accurate values.
16. 3(b)(i)2 marksComplete Table 2 to show the values of the resistance, R.
17. 3(b)(ii)4 marksOn the page opposite plot a graph of resistance, R, versus temperature, θ.
18. 3(c)1 markFind the temperature indicated by this thermometer when the resistance is 320 Ω.
19. 4(a)(i)8 marksState Newton's laws of motion.
20. 4(a)(ii)8 marksExplain why a small sphere, released from rest at the surface to fall through liquid in a deep tank, eventually moves with a constant speed. Sketch a graph showing how the acceleration of the sphere varies with time…
21. 4(b)1 markThe drag force acting on the balloon is given by F_D = (1/2)πr²ρv², where r is the radius of the balloon, ρ is the density of air, and v is the ascension speed of the balloon.
22. 4(b)(i)12 marksDraw a free body diagram to show the forces acting on the balloon.
23. 4(b)(ii)a)12 marksUse Archimedes' principle to find the buoyant force acting on the balloon.
24. 4(b)(ii)b)12 marksCalculate the terminal velocity of the balloon.
25. 4(b)(ii)c)12 marksFind the time, in minutes, it will take for the balloon to ascend to a height of 10 km. (Density of air, ρ = 1.29 kg m⁻³.) (Volume of a sphere = (4/3)πr³.)
26. 5(a)6 marksA mass, m, moves with constant linear speed, v, in a circle of radius r. Show that the magnitude of the acceleration, a, of the mass is given by a = v²/r.
27. 5(b)(i)7 marksDraw diagrams showing the forces acting on the ball when it is (a) at the top and (b) at the bottom of the circle.
28. 5(b)(ii)7 marksShow that when this critical value is reached the angular speed of the ball is given by ω = sqrt((T_max - mg)/(ml)).
29. 5(b)(iii)7 marksCalculate the critical value, T_max.
30. 5(c)(i)7 marksWith the aid of a sketch, describe the motion of the ball after the string breaks at the lowest point of the circle.
31. 5(c)(ii)a)7 marksCalculate the lateral distance the ball travelled during this time.
32. 5(c)(ii)b)7 marksCalculate the vertical velocity of the ball just before it strikes the ground.
33. 6(a)(i)3 marksExplain the following terms as they relate to the human eye: Accommodation.
34. 6(a)(ii)3 marksExplain the following terms as they relate to the human eye: Astigmatism.
35. 6(a)(iii)3 marksExplain the following terms as they relate to the human eye: Cataract.
36. 6(b)(i)7 marksWith the aid of a diagram explain the eye defect from which she suffers.
37. 6(b)(ii)7 marksDetermine the woman's near point (i.e. the distance from her eyes where she can see objects clearly without her glasses).
38. 6(c)(i)10 marksWhat intensity of sound is considered to be the threshold of human hearing?
39. 6(c)(ii)10 marksWhy is the response of the human ear said to be logarithmic?
40. 6(c)(iii)10 marksExplain why sound intensity levels are often measured using a decibel (dB) scale.
41. 6(c)(iv)10 marksA noisy motorbike emits noise with an intensity of 6 x 10⁻² W m⁻². What is the intensity level in dB?
42. 6(c)(v)10 marksOver what range of frequencies would a normal human ear be able to hear a sound with an intensity level of 20 dB?
43. 7(a)(i)8 marksWith the aid of sketch graphs, give an account of the energy transformations which occur during one complete cycle of this system.
44. 7(a)(ii)8 marksExplain why a damped oscillating system experiences a progressive decrease in its amplitude.
45. 7(b)1 markCalculate:
46. 7(b)(i)12 marksthe acceleration of the piston at the endpoint of the stroke.
47. 7(b)(ii)12 marksthe speed of the piston at the midpoint of the stroke.
48. 7(b)(iii)12 marksthe kinetic energy of the piston at the midpoint of the stroke.
49. 7(b)(iv)12 marksthe average power required to accelerate the piston from rest to the speed found in (b)(ii).
50. 8(a)(i)8 marksState TWO mechanisms which enable thermal conduction to take place in a metal.
51. 8(a)(ii)8 marksExplain why only one of the mechanisms is responsible for thermal conduction in an insulator.
52. 8(a)(iii)8 marksState the conditions that must be satisfied before the expression may be applied.
53. 8(a)(iv)8 marksExplain what is meant by the specific latent heat of vaporization of a substance.
54. 8(b)5 marksCalculate the surface temperature of the hot plate, which is in contact with the pot. (Coefficient of thermal conductivity, k, for stainless steel = 50.2 W m⁻¹K⁻¹)
55. 8(c)1 markTable 3 shows the micro-voltmeter readings, V, obtained when the sphere was maintained at various temperatures and the thermopile was a distance r from it. The voltage, V, of the thermopile is proportional to the…
56. 8(c)(i)7 marksSuggest how the intensity of radiation reaching the thermopile varies with the absolute temperature, T, of the sphere.
57. 8(c)(ii)7 marksDetermine the values of r₃ and V₂.
58. 9(a)(i)8 marksState FOUR of the basic postulates of the kinetic theory of an ideal gas.
59. 9(a)(ii)8 marksWrite an expression connecting the pressure of an ideal gas with the mean square speed of the molecules.
60. 9(a)(iii)8 marksUsing the expression you stated above and the ideal gas equation, pV = nRT, derive an expression for the total translational kinetic energy of a monatomic gas.
61. 9(b)1 markCalculate:
62. 9(b)(i)12 marksthe initial volume of the gas.
63. 9(b)(ii)12 marksthe final temperature of the gas.
64. 9(b)(iii)12 marksthe work done by the gas in the expansion.
65. 9(b)(iv)12 marksthe change in the internal energy of the gas during the expansion.
66. 9(b)(v)12 marksthe heat added to the gas.
67. 9(b)(vi)12 marksthe root mean square speed, v_rms, of the hydrogen molecules after the expansion.