Physics Module 1 1. Carry out this calculation? 2 ( 5.3 6.8) 2.6(8 6.5) 6 2. Carry out this calculation? 2 ( ) 3 ( 7 1.5 + 4) 3.5 8 1.2( 6) 17 + 3. Carry out this calculation? 2 6 4 + 8 3 6 8 2 2
4. Carry out this calculation? 5. Carry out this calculation? 6. Carry out this calculation? 2 2 2.5 4 8 6 π 15 3 7 5 4 5 3 1 8 + + 8 1 5 4 1 6 12 3 5 6 1 8 6 1 2
7. Carry out this calculation? 8. Carry out this calculation? 9. Express this in its simple term? 10. Carry out this calculation? 3 2 4 2.5 2 2 3 8 3 6 4 1 + 0.000000000343 3569000000
11. Transpose this and express this in terms of a? a = b c d 12. Transpose this and express this in terms of d? a = b c d 13. Transpose this and express it in terms of V2? P 1V 1 = T 1 PV 2 T 2 2
14. Transpose this and express it in terms of b3? 15. Transpose this and express it in terms of c? 16. Transpose this formula and express it in terms of B? c a b da a a 2 2 2 2 = + 3 2 1 1 1 1 b b b = + 2 3 4 3 2 B R D Z L g w = +
17. Transpose this and express it in terms of F? ( a + b) 2 F R = TL 2
18. Determine length BC? Physics 2
19. Determine length AC? 20. Determine length AB?
21. Determine length BC? 22. Determine length AB?
23. Determine length BC? 24. Determine length AC?
25. Determine length AC? 26. Determine length AB?
27. Determine angle ABC? 28. Determine angle ABC?
29. Determine angle BAC? 30. Calculate the height of a building when a 11m ladder is pitched to the roof at an angle of 70 degrees?
31. Calculate the distance from the building when a 13.5m ladder is pitched against a building at an angle of 75 degrees?
32. Two ladders are pitched together s shown here. One ladder is 11m and the other is 13.5m and they make an angle of 95 degrees, determine the height to point A and the distance to point B from underneath the ladders?
33. Determine height AB?
34. Two ladders 13.5m and 9m are pitched against a vertical wall so as to make angles of 50 degrees, How much higher is the head of the longer ladder?
35. A 30m turntable ladder is fully extended. At what angle must it be elevated to reach a window 23m from the ground. (The bottom of the ladder is 1.5m from the ground)?
36. A ladder 10m from a building A reaches a window 8m up. When you turn it over through 90 degrees it reaches a window 11.5m high on the other side. How wide is the street and how long is the ladder?
Physics 3 37. What is the area of the following rectangle? 38. What is the area of the following rectangle?
39. What is the area of the following shape? 40. What is the area of the following shape? 41. What is the area of the following shape?
42. What is the area of the following shape? 43. What is the area of the following shape?
44. What is the area of the following shape? 45. What is the area of the following shape?
46. What is the area of the following shape? 47. What is the area of the following shape?
48. What is the area of the following shape? 49. What is the area of the following shape?
50. What is the area of the following shape? 51. What is the area of the following shape?
52. What is the area of the following shape? 53. What is the surface area of the following shape?
54. What is the surface area of the following shape? 55. What is the volume of the following shape?
56. What is the volume of the following shape? 57. What is the area of the following shape?
58. What is the area of the following shape? 59. What is the volume of the following shape?
60. What is the volume of the following shape? 61. If a liquid has a mass of 200g and its volume is 300cm 3 what is its density? 62. Determine the density of a block of steel has a mass of 35g. The cube is 1.75cm long? 63. Determine the density of a liquid with the following information Mass = 1.25 kg Volume = 0.45m 3
64. A pendulum is swung, first for 30 swings and the time is measured as 23 seconds. Time for 45 swings is 38 seconds. Determine the average time per period and if different then explain why? 65. Describe the different ways how you would determine the thickness of a metal rod accurately? 66. How would you determine the density of an irregular shaped object? 67. A helicopter travels 1500m in 8 seconds, what is its speed? 68. A bicycle travels 800m in 40 minutes, what is its speed?
69. A car travels 100 km and it takes 71 minutes, what is its speed? 70. How long would it take me to walk from my house in Cambridge to London if I travelled at 3 km / hour and the distance is 90km? 71. A car travels at a speed of 40m/s for 30 s. how far does it travel in this time? 72. A cyclist travels 500m in 3 minutes. What is his speed? 73. A girl walks 4km at 1.5m/s. how long does her journey take?
74. Look at these graphs and tell me at what point the vehicle is travelling at its fastest point and when the vehicle is stationary either point A, B or C?
Physics 4 and 5 Specific heat capacity, ice: 2108 J/kg-K Specific heat capacity, water: 4187 J/kg-K Specific heat capacity, water vapour: 1996 J/-kg-K Latent heat of fusion for ice = 334,000 j/kg Latent heat of vaporisation of water = 2,260,000j/kg 75. How much heat is required to convert ice at -10C to steam at 250C?
76. How would you determine how much heat is required to turn a cup of water at 20C to steam at 100C? 77. How much heat is required to turn a 2.5kg block of ice at absolute zero (-273C) to water vapour at 200C? 78. Determine the heat which is released when a 3.4kg brick which has a temperature of 300C is allowed to cool to ambient in a room.
Ambient temp = 15C Specific heat capacity of brick = (855 kj/kg/k) 79. How much heat energy is required to make a cup of boiling hot coffee? Cup capacity = 0.25 litres Water temperature = 15C Density of water = 1000kg.m 3 SHC of water = 4187 j.kg/k
80. How much heat is required to raise the temperature of 3kg of water by 12C? Specific heat capacity = 4200j/kg/C 81. What is the increase in temperature of a 350g block of steel with a specific heat capacity of 350j/kg/C when 2200 joules of heat energy is provided? 82. How would you determine the specific heat capacity of a liquid. Describe an experiment that you could carry out? 83. How would you determine the latent heat of fusion of a solid. Describe an experiment that you could carry out?
84. Describe an experiment to determine the latent heat of vapourisation of a liquid? Physics 6 85. Define Boyles Law? 86. Define Charles gas law? 87. What is the formula for the general gas laws?
88. A cylinder charged to 250 Bar has a volume of 30000 mm 3 at 25C. It is involved in a fire and reaches a temperature of 350C, its volume increases to 31,500 mm 3. What would be the pressure inside the cylinder?
89. A CO 2 fire extinguisher charged to 56 Bar has a volume of 1m 3 at 25C. It is involved in a fire and reaches a temperature of 550C, its volume increases to 1.001m 3. What would be the pressure inside the cylinder?
90. A vessel at -55C contains gas at a pressure of 15 Bar. We can assume that the volume of the vessel will remain constant. If the bursting pressure = 60 Bar, at what temperature will the vessel fail?
91. An acetylene cylinder at a pressure of 10 bar is stored in a container which is involved in a fire and is heated to 500C. The vessel is protected by a fusible plug which operates at 30 bar. Would the fusible plug have operated in the fire. You can assume that the volume of the cylinder remains constant. Original temperature of cylinder is 20C.
92. A nitrogen cylinder has a volume of 0.1m 3. It contains 7m 3 of nitrogen when released at normal temperature and pressure 1 bar 15C. a. What is the pressure of the nitrogen in the cylinder at 15C.? b. If the cylinder is heated in a fire to a temperature of 300C. What will be the pressure of the gas? c. If the gas is suddenly released, what volume will it occupy?