SECTION A (25 MARKS)
Answer ALL the questions in this section in the spaces provided.
- The figure below shows the scale of a measuring instrument when measuring the thickness of an object.
- Name the instrument to which the scale belongs. (1 mark)
- Find the reading of the instrument shown. (2 marks)
- A solid weighs 32.5N on the surface of the moon. The force of gravity on the moon is 1.7Nkg-1. Determine the mass of the solid. (3 marks)
- A mercury barometer reads 760mmHg at sealevel and 700mmHg at the top of a mountain. If the density of mercury is 13,600kg/m3 and average density of air is 1.30kg/m3, calculate the height of the mountain. (3 marks)
- Briefly explain why rooms are at a lower level and ventilators at a higher level. (2 marks)
- Figure 2 below shows a piece of wood fitted into a copper pipe and a piece of paper wrapped tightly around the junction.
Explain why the side of the paper around wood burns first when flame is applied at the junction. (2 marks) - A student pulls a block of wood along a horizontal surface by applying a constant force. State the reason why the block moves at a constant. (1 mark)
- How much current is taken by a bulb whose rate is 100W and which is designed for mains supply of 240V? (3 marks)
- What is the gravitational potential energy stored in a spring when stretched through 4cm by a force of 2N. (2 marks)
- State two conditions necessary for an object to be in equilibrium. (2 marks)
- The diagram below shows an empty wine glass.
- State the effect on its stability when wine is put into the glass. (1 mark)
- Explain your answer in (a) above. (1 mark)
- A metal bench feels colder than a wooden one when one sits on it on a cold morning even though both are at the same temperature. Explain this observation. (2 mark)
SECTION B (55 MARKS)
Answer ALL the questions in this section in the spaces below.
-
- Figure 5 below shows a machine being used to raise a load. Use the information given in the figure to answer questions below.
- Determine the velocity ratio of the machine. (1 mark)
- If a load of 800N is raised by applying an effort of 272N, determine the efficiency of the machine (3 marks)
- A crane lifts a load of 2000kg through a vertical distance of 3.0m in six seconds. Determine:
- The work done. (2 marks)
- The power of the crane. (2 marks)
- State two reasons why the efficiency of a machine is not 100%. (2 marks)
- A block of a metal having a mass of 40kg requires a horizontal force of 100N to drag it with uniform velocity along a horizontal surface. Determine its coefficient of friction. (3 marks)
- Figure 5 below shows a machine being used to raise a load. Use the information given in the figure to answer questions below.
- In an experiment to estimate the size of oil molecule an oil drop of diameter 0.05cm spreads over water to form a circular patch whose diameter is 15cm.
- Explain why the oil spreads over water. (1 mark)
- Determine:
- Volume of the drop. (2 marks)
- Area of the patch. (2 marks)
- Size of the oil molecule. (3 marks)
- State two assumptions made in b)(iii) above. (2 marks)
-
- Distinguish between speed and velocity. (1 mark)
- The figure 6 below shows the motion of a ticker tape through a ticker timer whose frequency is 100Hz.
Determine- Velocity at AB and PQ. (4marks)
- Constant acceleration of the tape.(3 marks)
- State Newton’s second law of motion. (1 mark)
-
- A boy throws a tennis ball vertically upwards from a truck moving at a constant velocity. Give the reason why the ball lands back exactly the same point where it was projected. (1 mark)
- Define impulse in terms of momentum. (1 mark)
- A trailer of mass 30 tonnes travelling at a velocity of 72km/h runs onto a stationary bus of mass 10 tonnes. The impact takes 0.5seconds before the two vehicles move off together at a constant velocity for 15 seconds. Determine,
- The common velocity. (3 marks)
- The distance moved after the impact. (2 marks)
- The impulsive force on the trailer on impact. (3 marks)
- Give a reason why when a passenger jumps from a floating boat, the boat moves backwards. (1 mark)
- Give the reason why a safety seat belt used in a vehicle:
- Should have a wide surface area. (1 mark)
- Should be slightly extensible. (1 mark)
-
- State Hooke’s law. (1 mk)
- The graph shows how extension e of a helical spring varied with load, hanging on it.
Determine from the graph, the proportionality constant of the spring. (3mks) - State two factors that affect the proportionality constant of a helical spring. (2mks)
- Two springs Q and R have proportionality constants 20Nm-1 and 25Nm-1 respectively. Q weighs 0.2 N while the weight of R is negligible. The two springs are arranged to support a load of 3.ON as shown in the diagram below.
Determine the extension in- Q (2mks)
- R (2mks)
MARKING SCHEME
-
- Vernier calliper ✔1
- Main scale 5.00
Vernier scale (2 x 0.01) = 0.02 ✔1
5.00 + 0.02 = 5.02 cm ✔1
- Vernier calliper ✔1
- M = w/g ✔1
= 32.5/1.7 ✔1
= 19.117 kg / 19.12 kg✔1 - Difference in pressure 760 – 700 = 60mm✔1
60/1000 x 13600 x 10 = h x 1.3 x 10 ✔1
h = 8160/1.3 ×10
h = 627.69 m ✔1 - Warm air being lighter raises✔1 and escapes through the ventilators while the colder air gets in through the windows and doors. ✔1
- Wood being a poor conductor of heat✔1 does not allow the excess heat so it gets charred ✔1
- Frictional force is equal to the applied force but in opposite direction
The net applied force is zero
✔1 (Any one) - P = IV / I = P/V ✔1
= 100/240 ✔1
= 0.42 A ✔1 - P.E = Fe/2
= 2 ×0.04/2 ✔1
= 0.04 Joules ✔1 -
- The resultant force acting on the body must be zero. ✓
- The principle of moments must apply. ✓(Clockwise moments = Anticlockwise moment). (2mks)
- The resultant force acting on the body must be zero. ✓
- Stability decreases.¹
- The mass on the upper side of the glass increases raising the position of the c.o.g
- Stability decreases.¹
- Metal is a better conductor of heat than wood hence it will conduct heat away from the body faster than wood.
-
- V.R = 6
- M.A = 800/272 = 2.941
E = MA/VR x 100
= 2.9641/6 x 100 = 49.01%- W = F x d
= 200003✔ = 60000 joules ✔ - P = w/t = 60000/6 ✔
= 10000W✔1
- W = F x d
-
- Energy is used to overcome friction✔
- Energy is used to move parts of the machine✔
- u = F/R
R = mg
= 40 x 1 = 400N✔
u = 100/400 ✔ = 0.25✔
-
- Surface tension of water is stronger than that of oil
-
- Vol. = 4/3πr3✔
= 4/3 x 22/7 x (0.05/2)3
= 6.5476 x 10-5 cm3✔ - A = πr2
= 22/7 x (15/2)2✔
= 176.786cm2✔ - Vol. = πr2✔
h = 6.5476 ×10-5/176.786 ✔
= 3.7037 x 10-7 cm✔
- Vol. = 4/3πr3✔
-
- Oil drop is perfectly spherical
- Size of oil molecule is same as thickness of patch.
- Patch is one molecule thick. (Max. 2 marks)
-
- Speed is scalar quantity while velocity is a vendor quantity
- T= 1 = 1 = 0.01seconds √
F 100- VAB = 12 = 600cm/s or 6m/s √√
2 x 0.01
Vpq= 32 = 1600cm/s or 16m/s √√
2 x 0.01 - a = Vpq - VAB
t
= 16m/s – 6m/s = 10m/s
6x0.01 0.06s
=166.7m/s2
- VAB = 12 = 600cm/s or 6m/s √√
-
- The ball has the same horizontal velocity as the truck✔1
- Impulse is the change in momentum✔1
-
- M1V1 + M2V2 = (M1 + M2)V
30000 x 20 + 0= (30000 + 1000)V✔1
V = 600000/40000 = 15ms-1✔1 - S = vt✔1
= 1515 = 225m✔1 - Ft = m (v - u) ✔1
f = m (v-u)/t
= 30000(15-20) ✔1
0.5
= 300000N✔1
- M1V1 + M2V2 = (M1 + M2)V
- This is due to the passengers reaction force on the boat which acts backwards. ✔1
-
- To increase area on which force cuts✔1 to reduce pressure due to impulsive force.
- To prolong the period of time the force acts to reduce the impulsive force
-
- The force applied on an elastic material (Spring) is directly proportional to its extension so long as the elastic limit is not exceeded. 1 mark
- Proportionality constant k = 1/Gradient
Gradient = 18.5 / 4 = (Check student extraction)
K = ¼.625N/cm OR 21.621N/m (1 mark) -
- Mass per unit length (1 mark)
- Material of spring (1 mark)
-
- Weight supported by Q = 3.0 N (1 mark)
e = 3/20 = 0.15m (1 mark) - Weight supported by R = 3.2 N
e = 3.2 / 25 = 0.129 m (1 mark)
(1 mark) Substitution
(1 mark) Answer
- Weight supported by Q = 3.0 N (1 mark)
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