2009 MATSEC Intermediate Past Papers Index Louisella Bonello Antonia Vella The Junior College Physics Department 2009
MATSEC INTERMEDIATE PAST PAPERS INDEX WITH ANSWERS TO NUMERICAL PROBLEMS by Louisella Bonello and Antonia Vella TOPIC SESSION/ SECTION QUESTION ANSWERS YEAR NUMBER 1 PHYSICAL QUANTITIES 1.1 PHYSICAL QUANTITIES AND BASE UNITS 2004 MAY A 3 / 2004 SEPT A 3 / 2005 MAY A 1 / 2005 SEPT A 2 / 2008 MAY A 2 kg m s - ², kg m -1 1.2 SCALARS AND VECTORS 2004 MAY A 1 (b) 57.73 N 2004 SEPT A 1 (a) 273.5 N, (b) 13 o 2006 MAY A 1 (b) 61.7 N 2007 MAY C 12A* / JC Physics Department Page 2
2 MECHANICS 2.1 RECTILINEAR MOTION 2005 MAY A 2 1.58 m 2005 SEPT C 12 (a)(ii) 2 m s -2, (b) 250 m, (c) -4000 N, (d) 20000 Ns, (e) 50000 J, (f) 38.8 o C 2006 MAY A 3 (a) - 4.8 x 10⁴ N (b) 4.8 x 10⁴ N ( c ) 1 m s -1 2006 MAY A 10 (b) 1m s -2, (c ) 3 m s -1 2006 SEPT A 6 (a) 4.9 m s -1 (b) 3.9 m s -1 ( c ) 1.3 Ns (d) 13 N 2007 MAY A 2 (a) 6.32 s, (b) 25.3 m 2007 MAY C 12b* (i) 4.2 m, (ii) 18 m s -1, (iii)3.2 m, (iv) -10 m s -2, (v) -0.64 Ns, (vi) -0.8 N 2007 SEPT A 2 (a) 0.5 s (b) 0.75 m 2007 SEPT B 11 ( c) gradient = 4.87 m s - ², g = 9.74 m s - ² 2008 MAY A 1 (a) - 5 m/s² (b) - 7,500 N (c) 40 m 2008 SEPT A 4 (a) 0.55 s (b) 0.44 m 2008 SEPT C 13ab*c (a) 160 kg (b) i) 1.25 m/s² ii) 2.24 m/s (c) i) 10 m/s² ii) 0.632 s iii) 2.45 m/s 2.2 NEWTON'S LAWS 2004 SEPT A 2 (a) 320m, (b) 5000 N 2004 SEPT A 4 (a) 30 kg m s -1, 10000N JC Physics Department Page 3
2005 MAY A 5 (a) 200 Ns, (b) 200N iv) 20 J v) 40 J vi) 60 J 2005 SEPT A 1 (b) 42.57N 2005 SEPT A 4 (b) 0.005N 2006 MAY A 3 (a) -48000 Ns, (b) +48000N, (c ) +1m s -1 2006 SEPT A 1 (b) 61.7 N 2007 MAY A 1 (b) 7.5 N 2007 SEPT A 1 (a) 2,500 N (b) 1,200 N ( c ) 2,773 N 2007 SEPT A 3 (a) 2.4 m/s (b) 0.576 J 2007 SEPT A 5 (a) 7,500 N (b) 37,500 N (c) 1.2 x 10⁸ Pa 2008 MAY A 6 (a) 2 kg s -1 (b) 1.68 x 10⁴ J s -1 2008 SEPT A 1 (a) 0 N (b) i) 5.97 N ii) 2.05 N 2.3 ENERGY 2008 SEPT C 13b* (b) iii) 400 J iv) 3,200 J 2.4 CIRCULAR MOTION 2004 MAY A 4 (b) 4.46 N 2005 MAY A 4 (b) 4.46 N 2005 SEPT A 5 (a) 15.99 m s -1, (b) 4.57 m s - ², 6452 N 2006 SEPT A 5 (a) 20 m s - ² (b) 1600 N (c) 125 m JC Physics Department Page 4
3 THERMAL PHYSICS 3.1 TEMPERATURE AND HEAT ENERGY (Thermometry) 2004 MAY A 7 (b) 50 o C 2005 MAY A 3a* / 2005 SEPT A 6 (a) - 56.33 o C 2006 MAY C 13a (ii)* 290 K 2007 MAY A 9 80 o C 2007 SEPT A 6 b) 6 cm 2008 SEPT A 2 282.9 C 2008 SEPT B 11 / 3.2 ENERGY TRANSFER (Thermodynamics) 2004 MAY A 8 (a) 100 J, (b) 160 J 2004 SEPT A 7 70J, +20J, +25J, 0 J, +100 J, -40 J, -25 J, -25J, 0 J 2005 SEPT A 7 (a) (i)-400 J, (ii) -400 J, (b) 1450 J 2006 MAY C 13b* (b)(ii) 20 J, -70 J, (iii) 0J, 25 J. 2006 SEPT C 13b* (b) i) 2.01 x 10 ⁴ m³ ii) 13.0 x 10⁴ Pa iii) 25.6 J iv) 20.6 J 2008 MAY A 9 (a) 151.5 J (b) 98.5 J 3.3 HEATING MATTER (Calorimetry) 2005 MAY A 3b* 0.08 J JC Physics Department Page 5
2005 SEPT C 12e,f (e) 5 x 10⁴ J (f) 38.8 K 2006 MAY B 11 (b) 2.6 x 10 6 J kg -1 2006 MAY C 13 a(i)* (i) 1.0577 x 10 6 J 2006 SEPT C 13a* (a) i) 100 s ii) 0.178 kg 2007 SEPT A 4 (a) 2.47 x 10⁶ J kg -1 2008 MAY A 6 (a) 2 kg/s (b) 1.68 x 10⁴ J/s 4 MATERIALS 4.1 SOLIDS 2006 MAY C 15 (a) (i) 1.96 x 10-7 m 2, (ii) 3.54 x 10-4, (iii) 3.89 x 10 7 Nm -2, (iv) 7.62N 2006 SEPT A 10 (a) 4.0 x 10 2 m, (b) 8.05 x 10-3 2007 MAY A 8 (a) 6 x 10-5, (b) 6.4 x 10 7 N m -2, (c ) 0.06 J 2008 MAY A 8 (a) 6 x 10 8 Pa (b) 3600 J 2008 SEPT C 14 (a) (i) 15.68 N (ii) 5.23 x 10 6 Pa (iii) 2 x 10-3 (iv) 2.61 x10 9 Pa 5 ELECTRICAL CURRENTS 5.1 CHARGE AND CURRENT 2004 MAY A 5 2.13 x 10 ⁵ m s -1, 0.246 m s -1 JC Physics Department Page 6
2004 MAY C 15 (b) (i) 12 V, (ii) 3 A, (iii) 4 Ω 2004 SEPT C 15 (b) (ii) 0.4 A, (iii) 10 Ω, (iv) 12 V 2005 MAY A 10 (a) 3 V, (b) 3 V 2005 SEPT A 10 (a) 9.689 V, (b) 1.16 A 2005 SEPT C 15 (a) 2 Ω, (b) 3 A, (c) 9 V, (d) 15 V, (f) 7.5 A, (g) 2.4 x 10-6 m s -1 2006 MAY A 5 (b) (i) 0.8 A, (ii) 0, (iii) 0.57 A 2006 MAY A 8 (a) 20 Hz, (b) π/2 rad, (c) B 2006 MAY A 9a* / 2006 SEPT C 15 (a) (i) 2.4 Ω, (ii) 7.4 V, (iii) 6 V, (iv) 7.4 V 2007 MAY A 4 (a) 4 V, (b) 6.36 V 2007 MAY C 13 (b) 0.4 A, (c) 1.6 A, (d) 6 Ω, 10 Ω, (e) 7.5 Ω 2007 SEPT A 7 (b) 17A 2008 MAY A 10 (a) 3.36 x 10-15 N, (b) 0.12 m 5.2 RESISTANCE 2005 SEPT B 11 (c) 42.68 W Ω, (d) 20000 Ω 2006 MAY A 9b* / 2008 MAY A 4 (a) 5 V, (b) 7.5 Ω, (c ) 5.9V, (d) 4.5W JC Physics Department Page 7
6 FIELDS 6.1 GRAVITATIONAL FIELDS 2004 SEPT A 5 4 X 10 8 J 2005 MAY C 13 (c )(i) 9.3 N kg -1, (ii) 7.83 x 10 3 m s -1, (iii) 5264 s, (d) (iii) 3.6 x 10 8 m 2006 MAY A 6 (c ) 7.7 km s -1, 2006 SEPT A 9 (b) (i) 3070 m s -1, (ii) 24h 2007 MAY A 3 (a) 5 x 10-11 N, (b)(i) 5 x 10-11 m s -2, (ii) 1.7 x 10-11 m s -2 2008 MAY A 5 (a) 3.07 x 10 3 m s -1, (b) 24h 6.2 ELECTROSTATIC FIELDS 2004 MAY C 12 (b) (i) 3.68 x 10-15 N, (ii) 1.08 x 10-9 s, (iii) 4.04 x 10 15 m s -2, (v) 6.72 o 2004 SEPT A 8 (b) 102.35 V 2005 MAY C 15 / 2006 SEPT A 7 (a) 8.01 x 10-18 J, (b) 4.19 x 10 6 m s -1 2007 MAY A 5 (a) 4.56 x 10-19 J, (b) 1.14 x 10-17 N, (c ) 71.2 NC -1 2007 SEPT A 9 (a) 3.2 x 10-17 J, (b) 8.38 x 10 6 m s -1 2008 SEPT A 7 (a) 11.1 cm -1, (b) 0.111 JC Physics Department Page 8
6.3 CAPACITORS 2004 MAY A 9 (a) 0.001 C, (b) 1.35 V 2004 SEPT A 9 (b) 2.44 x 10-3 C 2005 MAY A 6 (a) 4.41V 2005 SEPT A 8 (c) (i) 4.7 s, (ii) 0.598 V 2006 MAY C 12 (b) 1.987 ma, (c) 3 s, (d) 0.6 x 10-3 C, (e) 1.61 x 10-3 F, (f) 1860 Ω, (g) 1.119 x 10-8 m 2006 SEPT A 3 / 2007 SEPT C 12 (a)(i) 5 x 10 4 V m -1, (ii) 8.85 x 10-10 F, (iii) 8.85 x 10-8 C, (b)(i) 8.85 x 10-4 s, (iii) 1.77 x 10-3 s 2008 MAY A 3 (a) 5.31 x 10-12 F, (b) 1.88 x 10 6 V, ( c) 3.01 x 10-12 N 2008 SEPT A 6 (a) 1.9 x10 ⁴ A (b) 2.62 x 10 ⁵ A 2008 SEPT C 15 (b) ii) 9.6 V iii) 65s, 0.54 F 6.4 MAGNETIC FIELDS 2004 MAY A 10 / 2004 SEPT A 10 / 2004 SEPT C 12 (c ) (i) 4 x 10-4 m s -1, (ii) 3.08 x 10-24 N, (iii) 7.8 x 10 22 electrons, (iv) 0.24 N 2006 MAY C 14 (b) (ii) 9 x 10-15 N, (iii) 5.53 mm JC Physics Department Page 9
2006 SEPT C 12 (b) ii) 0.858 T 2008 MAY A 10 (a) 3.36 x10-15 N, (b) 0.12 m 2008 SEPT A 9 (b) 0.9 N (c) 0 N 6.5 ELECTROMAGNETIC 2005 MAY B 11 (d) 2.29m INDUCTION 2005 MAY C 15 ( c) ii) 2.4 x 10 ⁴ V 2006 MAY A 5 (b) i) 0.8 A ii) 0 A iii) 0.566 A 2007 MAY C 14 (c ) (ii) 0.5 m 2 s -1, (iii) 0.015V 2008 MAY C 12 (c) (ii) 2 Hz, (iii) 14.1 m 2 s -1, (iv) 0.92 V 7 VIBRATIONS AND WAVES 7.1 S.H.M. 2006 MAY A 2 / 2007 SEPT C 13 (c) iv) 3 Hz, v) 3 Hz 2008 SEPT A 8 / 7.2 MECHANICAL WAVES 2004 MAY B 11 (d) 2.94 x 10-8 kg m -1, (e) 9.4 x 10 ³ kg m - ³ 2004 MAY C 14 (b) i) 2m, ii) 6, iii) 0.9π, (c) 6.06 x 10-3 s 2004 SEPT C 14 (c ) 0.083 λ (d) 0.413 m 2007 MAY A 6 (b) 375 m s -1 JC Physics Department Page 10
2007 MAY C 15 / WAVES 2005 SEPT C 13 ( c ) i) 320 ms ¹ ii) 800 Hz 2006 MAY A 8 (a) 20 Hz, (b) π/2 radians 2006 SEPT A 8 (b) 0.5 m 2008 MAY C 15 (c ) (i) 0.02 m, 2 m, (ii) 2 m/s, (iii) 1 Hz, 1 s, (iv) 3/4 λ 7.3 SUPERPOSITION OF WAVES SPECIMEN C 15 / 7.4 LIGHT WAVES 2004 MAY A 6 (b) 30⁰, 60⁰ 2004 SEPT A 6 (b) 41.25⁰ (c ) i) 60 cm 2004 SEPT B (c) 4 cm 2005 MAY A 7 (c ) 27.4 o 2005 MAY C 14 (c ) (i) 30cm, (ii) 22.5 cm 2005 SEPT A 9 (a) (i) 7.5cm, (ii) 1.5 (iii) 4.5cm 2006 SEPT A 2 (a) i) 0.6 m ii) 0.15 m 2007 MAY A 7 (b) 30 cm, (c ) 15cm 2007 MAY B 11 (c ) 1.33 2007 SEPT A 10 (a) 41.8⁰, (b) 25.4⁰ 2007 MAY C 15 / JC Physics Department Page 11
2008 MAY A 7 (a) 11.1 cm (b) 0.1 2008 MAY C 14 (a) i) 66⁰ (b) i) 22.2⁰ ii) 2.0 x 10⁸ms ¹ iii) 37.8⁰ 2008 SEPT A 5 (a) - 30 cm (b) 15 cm 2008 SEPT C 12 (b) v) 41.8⁰ vi) 1.50 7.4 QUANTUM 2004 MAY C 13 (a) 1.99 x 10-25 J m, (c) (ii) 2.18 x10 ¹⁸ J, 2.09 x 10 ¹⁸ J, 2.04 x 10 ¹⁸ J 1.94 x 10 ¹⁸ J, 1.64 x 10 ¹⁸ J, (iv) 4 x 10 ¹⁹ J 2005 MAY A 9 (a) 7.84 x 10-19 J, (b) 2.52 x 10-7 m 2005 MAY C 12 (a) i) 8.982 V, ii) 0.69 V, (b) 857 Ω (c ) ii) 3.89 ma, iii) 0.33 ma 2005 SEPT C 14 (d) (iii) 6.51 x 10-7 m 2008 SEPT A 10 (a)2.18 x 10 ¹⁸ J, 5.44 x 10 ¹⁹ J (b) 1.21 x 10 ⁷ m 8 NUCLEAR PHYSICS 8.1 NUCLEAR 2004 MAY A 2 (b) 55 s 2004 SEPT C 13 / 2005 MAY A 8 40.33 u (6.697 x 10-26 kg) (b) 6.101 x 10-28 kg, (c) 5.49 x 10-11 J JC Physics Department Page 12
2005 SEPT A 3 (b) 0.6 s 2006 MAY A 4 (b) 350 min -1, (c ) 82 2006 MAY A 7 (b) 1.18 x 10 15 Hz, (c) 2.88 x 10-19 J 2006 SEPT A 4 (b) 9.66 x 10¹³ Hz 2006 SEPT C 14 / 2007 MAY A 10 (c ) 5 days 2007 SEPT A 8 / 2007 SEPT C 14 (b) (i) 10.4 ev, (ii) 1.664 x 10-18 J, (iii) 3.19 x 10-7 m 2008 MAY B 11 (c ) 0.391 m ², 34 2008 MAY C 13 (c ) i) 2 years ii) 1.2 x 10 ⁸ s ¹ 2008 SEPT A 3 / Viscosity 2006 SEPT B 11 (c ) 1257 kg m ³ JC Physics Department Page 13