CAPE Physics Unit 1 · 2011 · Paper 2

36 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)(i)1 markNext to Figure 1 draw a free body diagram to show the forces acting on the skydiver.
2. 1(a)(ii)2 marksHence show that when her downward acceleration is a, the equation of motion for the skydiver can be written as g - a = (b/m)v^n.
3. 1(b)(i)3 marksComplete Table 1 by filling in the blank columns.
4. 1(b)(ii)3 marksOn page 4, plot a graph of lg (g – a) vs lg v.
5. 1(b)(iii)3 marksCalculate the gradient of the graph and hence determine a value for n (to the nearest integer).
6. 1(b)(iv)3 marksCalculate the terminal velocity of a skydiver with a mass of 78.5 kg, given that b = 0.251 kg m⁻¹.
7. 2(a)(i)2 marksDescribe and explain what is heard at a certain level as the water runs out at the lower end.
8. 2(a)(ii)1 markWhat name is given to this phenomenon?
9. 2(b)(i)1 markComplete the table by filling in the values for 1/l.
10. 2(b)(ii)3 marksOn page 9, plot a graph of frequency f vs 1/l.
11. 2(b)(iii)2 marksUse the graph to determine the frequency of an unmarked fork which was in tune with 41.7 cm of the string.
12. 2(b)(iv)3 marksCalculate the gradient of the graph.
13. 2(b)(v)3 marksDetermine the value of the mass per unit length, μ, of the wire.
14. 3(a)1 markDefine the term 'specific latent heat of fusion' of a substance.
15. 3(b)(i)2 marksWhat are the values of the melting point and boiling point of the substance?
16. 3(b)(ii)4 marksCalculate the gradient of the two linear regions of the graph labelled P and Q.
17. 3(b)(iii)2 marksState, giving your reasoning, whether the specific heat capacity of the liquid is greater or smaller than that for the solid state.
18. 3(b)(iv)3 marksCalculate the specific heat capacity of the substance in the liquid state.
19. 3(b)(v)3 marksCalculate the specific latent heat of fusion of the substance.
20. 4(a)(i)6 marksDistinguish between the 'kinetic energy' and the 'gravitational potential energy' of a body near the Earth's surface and write an expression for EACH.
21. 4(a)(ii)1 markExplain why it is possible for the TOTAL mechanical energy of a system to be negative, but NOT its kinetic energy.
22. 4(b)(i)7 marksCalculate the velocity of the skier at Point B, the end of the track.
23. 4(b)(ii)1 markCalculate the time the skier takes to hit the ground after he has left Point B.
24. 4(b)(iii)1 markCalculate the horizontal distance, R, of the end of the track, (Point B) from the landing point.
25. 4(c)2 marksWhat TWO assumptions did you make in calculating the answers to (b) above?
26. 5(a)(i)4 marksDistinguish clearly between 'refraction' and 'diffraction' of light. Draw ray diagrams, ONE in EACH case, to illustrate EACH phenomenon.
27. 5(a)(ii)3 marksDiscuss how interference and diffraction contribute to the action of a diffraction grating.
28. 5(b)(i)2 marksCalculate the slit spacing of the diffraction grating, expressed in metres.
29. 5(b)(ii)5 marksCalculate the angular positions of the two spectral lines.
30. 5(b)(iii)1 markCalculate the angular separation between the two spectral lines.
31. 6(a)3 marksUse the equation of state for an ideal gas to find the amount, in moles, of gas in the cylinder.
32. 6(b)(i)3 marksExplain this rise in temperature on a macroscopic scale, using the first law of thermodynamics.
33. 6(b)(ii)3 marksExplain this rise in temperature on a microscopic scale, using the kinetic theory of gases.
34. 6(c)2 marksCalculate the pressure of the gas after this compression.
35. 6(d)1 markThe work done on the gas during the compression is 90 J. Use the first law of thermodynamics to find the increase in the internal energy of the gas during the compression.
36. 6(e)3 marksCalculate the molar heat capacity of the gas in the container.