SECTION A (25MKS)
 Figure I shows a reading of a micrometer screw gauge when a metallic spherical ball of mass 31.2g is measured in it.
If the micrometer screw gauge had a zero error of 0.01; what is The diameter of the sphere (2mks)
7.00+0.34+7.34+0.01 = 7.35mm  The density of the ball (2mks)
 The diameter of the sphere (2mks)
 Name one force that may determine the meniscus of liquid in a glass (1mk)
 Adhesive force
 Cohesive force
 A water pipe of diameter 8.8cm is connected to another pipe of diameter 2.2cm. The speed of the water in the smaller pipe is 40m/s. What is the speed, V_{1} of the water in the larger pipe? (2 mks)
 The figure below shows a volumetric flask fitted with a glass tube filled with coloured water which was heated to a temperature of 80^{0}c
 What was observed when the flame was withdrawn and left for some time? (1mk)
 The level of the water first raises and then dropped.
 Explain the observation made in 4(a) (1mk)
 The glass will first contract causing the level to raise, but liquid contract fast than solid hence the levels go down
 What was observed when the flame was withdrawn and left for some time? (1mk)
 The figure below shows a utube connected to a gas supply containing liquids L_{1} and L_{2} of densities 1.8g/cm^{3} and 0.8g/cm^{3} respectively in equilibrium.
Given that h_{1}=8cm and h_{2}=12cm and the atmospheric pressure is 1.02x10^{5}pa. Determine the gas pressure. (3mks)
 A cart of mass 35kg is pushed along a horizontal path by a horizontal force of 14N and moves with a constant velocity. The force is then increased to 21N .Determine:
 The resistance to the motion of the cart. (1mk)
 Resistance = 12N
 The acceleration of the cart. (2mks)
 F = ma therefore a=^{F}/_{m}
2114 = 7N
a =^{ 7}/_{35}=0.2 m/s^{2}
 F = ma therefore a=^{F}/_{m}
 The resistance to the motion of the cart. (1mk)
 State the unit for spring constant. (1mk)
 newton per meter

 How does the position of C.O.G affects the stability of a body? (1mk)
 The higher the position centre of gravity, the lower the stability and the lower the position centre of gravity the more the stable the body is.
 The figure below shows a uniform rod AE which is 40cm long .It has a mass of 2kg and pivoted at D. If 2Nis acting at a point E and 30N force is passed through a frictionless pulley, find the value of x acting at end A. (3mks)
0.3 + 20 x 0.1 = 30 x 0.2 + 2 x 0.1
0.3x =6.2  2.0
x = 14
 How does the position of C.O.G affects the stability of a body? (1mk)
 A turntable of radius 16cm is rotating at 960 revolutions per minute .Determine the angular speed of the turntable. (2mks)
ANS: w=2πf
f=^{ 960}/_{60}rev/sec=16 rev/s
w= 2 x 16π = 32π rads/s
w = 100.5 rad/s
 Distinguish between solid and liquid states of matter in terms of intermolecular forces. (1mk)
 In solids the molecules are held in position by strong intermolecular forces .While in liquid the molecules are held together by weak intermolecular force hence they are able to move randomly.
 State two environmental hazards that may occur when oil spills over a large surface area of the sea. (2mks)
 Pollution
 Death of aquatic animals and plant
SECTION B: 55MKS