Instructions to Candidates
 This paper consists of two sectionssection / and section 2
 Attempt all questions in the spaces provided
 All working must be clearly shown
 Nonprogrammable, silent calculators and mathematical tables may be used
 Answers to numerical calculations must be expressed in decimal form.
 Where necessary take:
Density of copper = 8940kgm^{3}
Density of tin=7280kgm^{3}
Specific heat capacity of ice = 2100Jkg^{1}K^{1}
Specific latent heat of fusion of ice = 334000 Jkg^{1}
Specific heat capacity of water = 4200Jkg^{1}r^{1}?
Specific heat capacity of copper = 400Jkg^{1}r^{1}?
Specific latent heat of vaporization of water 2260000Jkg^{1}
g=10ms^{2} or 10 Nkg^{1}
Density of water = 1000kgm^{3}
Density of glycerine = 1200kgm^{3}
Question  Maximum Score  Candidate's Score 
110  25  
11  12  
12  11  
13  10  
14  11  
15  11  
80 
QUESTIONS
Section 1 (25 marks)
 The figure below show a section of a micrometer that was used to measure the diameter of a marble. If the micrometer screw gauge had a zero error of 0.002cm, state the actual reading of the diameter of the marble. (3 marks)
 A sack of sawdust on the earth's surface is found to have the same weight as a sack of sand on the surface of the moon. State the reason why the masses of the two sacks must be different (1 mark)
 State the factors that affect the rate of flow of heat through a metal conductor (3 marks)
 A metre rule of mass 50g balances offcentre when a 20g mass is suspended at the 2cm mark. Determine the position of the pivot (3 marks)
 Calculate the temperature change for water at the bottom of a waterfall of height 45m. (2 marks)
 An air bubble increases in size as it rises through a liquid column and bursts on reaching the surface. Explain this observation. (3 marks)
 Calculate the maximum speed at which a car of mass 2000kg will safely negotiate a bend of radius 20m on track that is banked at 10°. (3 marks)
 A force of 40N acts on a body of mass 2.5kg for 0.20s, given that the body is initially at rest, calculate its final velocity. (2 marks)
 An alloy is made of 40% by mass copper and 60% by mass tin. Calculate the density of a sample of the alloy of mass 50g. (3 marks)
 Explain why passengers on a boat are discouraged from standing, (2 marks)
Section 2 (55 marks)
 A piece of ice of mass 400g in a well lagged copper calorimeter of mass 50g at a temperature of 10°C is heated using a heater rated 240V,500W until the water vaporizes completely
 The energy required to raise the temperature of ice to 0°C. (3 marks)
 The energy required to raise the temperature of the water to 100 °C. (3marks)
 The latent heat of vaporization (2 marks)
 The time taken to completely turn the ice into vapour. (3 marks)
 State one assumption made in the working above. (1 mark)
 The table below shows variation of velocity with time for a body.
Time, t, (s) 0.0 0.5 1.0 2.0 3.0 4.0 5.0 Velocity, v,(ms^{1}) 0.0 11.0 20.0 34.0 42.0 45.0 46.0  Plot a velocity  time graph for the motion (5 marks)
 Determine, from the graph, the acceleration at time t = 1.0s and t = 4.0 (4 marks)
 Calculate the average acceleration of the body between the time interval in (II) above (2 marks)
 Plot a velocity  time graph for the motion (5 marks)

 State Newton's third law of motion. (1 mark)
 differentiate between elastic and inelastic collisions. (2 marks)
 A bullet of mass 20g moving at 200ms hits and gets embedded in a wooden block of mass 1980g that is suspended freely on a light inextensible string at a height of 5m above the ground. If the string breaks on impact, calculate;
 The velocity of the block immediately after impact (3 marks)
 The time taken by the block to strike the ground (2 marks)
 The horizontal range of the block (2 marks)


 State Archimedes' principle. (1 mark)
 The figure below shows a sphere of radius 3.5cm floating between water and glycerine, with 3/4% of its volume in the glycerine.
Calculate the density of the sphere (4 marks)
 A hydraulic brakes system has a master cylinder piston of area 30mm and slave cylinder piston of area 100mm?. The system is joined as shown in the figure below.
Given that a force of 60N is exerted on the pedal, calculate: The force exerted on the brake fluid by the master cylinder piston. (3 marks)
 The force that is exerted on the wheel drum by the slave cylinder piston. (3 marks)


 Define the following term angular displacement (1 mark)
 Explain why a body moving round a circular bend at constant speed is said to be accelerating. (1 mark)
 A body of mass 5kg is attached to a string of length 80cm and whirled in a vertical circle. Calculate:
 the speed at which the tension in the string is zero when the body is at the top of the circle (2 marks)
 The tension of the string at the bottom of the circle if the body maintains the speed in i above. (2 marks)
 A light truck of mass 3.5tons moves around a track of radius 700m and is banked at 15° to the horizontal. Given that the coefficient of friction between the wheels of the truck and the surface is 04, calculate:
 The frictional force (2 marks)
 The critical speed of the truck. (3 marks)
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