Cgs 09 5116 S4 Prelim P2
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Section A Answer all questions. Write your answers in the spaces provided on the question paper.
1.
(a) Explain what is meant by the centre of gravity of an object.
[1]
…………………………………………………………………………………………….. ……………………………………………………………………………………………..
(b) The diagram shows a cross-sectional view of a traffic safety cone with the centre of gravity of the cone indicated by the point C which is 0.10 m above its base.
C x
0.10 m
(i) Assuming that the gravitational force on a mass of 1.0 kg is 10 N, calculate the weight of the cone if its total mass is 4.0 kg. [2]
(ii) Explain TWO features in the design of the traffic cone that improve the stability of the cone. [2] ………………………………………………………………………………………. ……………………………………………………………………………………….. ……………………………………………………………………………………….. …………………………………………………………………………………………. …………………………………………………………………………………………..
This paper consists of 12 printed pages (including the cover page), and 3 lined pages.
2
2.
(a)
State the principle of moments for a body in equilibrium.
[1]
………………………………………………………………………………………… ………………………………………………………………………………………… …………………………………………………………………………………………
(b)
Fig. 2.1 shows a person crossing a bridge. .
2.1 The bridge is supported at points A and B. The length of the bridge is 6.0 m and its weight is 2000 N. The centre of gravity of the bridge is at its midpoint. The weight of the person is 750 N. The person is 4.0 m from point B. (i) Calculate the moment of the weight of the bridge about point B.
[2]
(ii) Calculate the moment of the weight of the person about point B.
[1]
(iii) Calculate the force FA exerted by the ground on the bridge at point A.
[2]
(iv) Calculate the force FB exerted by the ground on the bridge at point B.
[1]
09/5116/S4 Prelim/P2
3 3. A beaker containing hot liquid is placed on a table in a room. The temperature of the beaker and its contents changes as shown in Fig. 3.
Fig. 3
4
8
time/min
(a) Explain why the temperature of the beaker and its contents remain constant over the section labelled BC in Fig. 3 . [2] ………………………………………………………………………………………… ………………………………………………………………………………………… …………………………………………………………………………………………. (b) What is the room temperature ?
[1]
………………………………………………………………………………………… ………………………………………………………………………………………… (c)
If the average rate of heat released during section AB is 60 Joules in a second. What is the amount of energy released during this section? [2]
09/5116/S4 Prelim/P2
4
4. People like barbecuing a lot during winter because they could get warm from the fire
at the same time. Meat is pierced on iron forks and grilled over the fire at a distance 20 cm. The meat will be cooked up in 10 minutes. Some people would also wrap the sweet potatoes by using aluminium foil and place them alongside the fire.
(a)
Explain why the meat has to be pierce on an iron fork during barbecuing?
…………………………………………………………………………………………. ……..…………………………………………………………………………………… ……………………………………………………………………………………….. [2] (b)
Explain how heat is transferred from the fire to the meat. …………………………………………………………………………………………. …………………………………………………………………………………………. ……………………………………………………………………………………… [2]
(c)
Suggest one advantage of wrapping the sweet potatoes by using aluminium foil. ……………………………………………………………………………………… [1]
09/5116/S4 Prelim/P2
5
5.
(a)
Fig. 5.1 shows a graph of the variation the vertical displacement s of the ripple tank vibrator with distance d travelled by the wave.
Fig. 5.1
(i)
Determine the wavelength of the wave.
[1]
(ii)
What is the amplitude of the wave?
[1]
(b) Fig. 5.2 below shows a graph of the variation the vertical displacement s of the ripple tank vibrator with time t travelled by the wave.
Fig. 5.2
(i) Determine the frequency of the vibrator.
[2]
(ii) Calculate the speed of the ripples. State clearly the formula used
[2]
09/5116/S4 Prelim/P2
6
6.
The diagram below is drawn to half scale. It shows a ray of light leaving the head of an object AB and striking a converging lens L. The lens forms an image of the object AB on the screen S.
S L A
B
On the diagram, (a)
locate the image of AB and label it I.
[2]
(b)
complete the path of the given ray after it passes through the lens.
[1]
(c)
draw a suitable light ray which enables you to find the position of the focal point of the lens. Label this point F. [1]
(d)
Determine the focal length of the lens.
Focal length of the lens = …………………………
09/5116/S4 Prelim/P2
[1]
7
7.
Fig. 7.1 In Fig. 7.1 shown above, with the switch, S, opened, find the (a) effective resistance between P and Q.
[1]
(b) the reading of the voltmeter.
[1]
(c) the reading of the ammeter.
[1]
The switch now is closed. Find the (d) effective resistance between the P and Q.
[1]
(e) the reading of the voltmeter.
[1]
09/5116/S4 Prelim/P2
8
8.
An unqualified electrical engineer connects three electric fans each rated “220 V, 600 W” at home. He makes a domestic wiring as shown in the diagram below. The mains supply is at 220 V and L, N and E denote the live, neutral and earth wire respectively.
(a) The electrical engineer forgot to connect the Earth wire in this electrical wiring. On the diagram above, show by drawing how the Earth wire should be connected. [1]
(b)
What electric component is missing inside the fan and what is the use of it? [2] ……………………………………………………………………………………………… ……………………………………………………………………………………………….. ………………………………………………………………………………………………… (c)
(d)
After correcting the mistakes, calculate the total current drawn from the mains supply when all the fans are switched on. [2]
Calculate the cost of using the three electric fans for 2 hours given that 1 kWh costs $0.15. [2]
09/5116/S4 Prelim/P2
9 Section B Answer any two questions. Write your answers on the lined paper provided. 9.
The diagram shows the variation of the speed of a lorry as it travels along a level road. The lorry begins to brake at the time t = 20s, and comes to rest when t = 24s.
The lorry has a mass of 1000 kg and the forward driving force on the wheels is 1200 N. (a)
(b)
(c )
For the first 20 s of the motion shown above, calculate (i)
the distance travelled by the lorry,
[1]
(ii)
the work done by the driving force,
[1]
(iii)
the power supplied by the driving force.
[1]
(i)
Calculate the kinetic energy of the lorry while it is travelling at the constant speed. [2]
(ii)
When the lorry is travelling at a constant speed there is no change in its kinetic energy. Suggest what happens to the energy that is provided by the engine.
[1]
During braking the speed of the lorry decreases uniformly. The engine no longer provides a driving force. (i)
Calculate the deceleration of the lorry between t = 20 s and t= 24 s. [1]
(ii)
Calculate the total braking force acting on the lorry during this period. [2]
(iii) Explain why the power dissipated in the brakes to slow the lorry down is greater at the beginning of the braking period than in the end.
09/5116/S4 Prelim/P2
[1]
10
10.
(a) With the aid of a diagram, explain how an electric current may be used to magnetized a steel bar. [3] (b) State two ways to increase the magnetism of a permanent magnet. [2]
(c) The figure shows two chains of clips made of two different metals (iron and steel) that are attached to two ends of a bar magnet.
(i) Which chain, A or B, is made of iron?
[1]
(ii) With reference to forces acting on the clips, th explain why a 5 clip added to chain B will not stay on the chain.
[2]
(iii) When both chains are slowly removed by pulling the top-most clip away from the magnet, which chain does not collapse immediately? Why?
09/5116/S4 Prelim/P2
[2]
11
11.
(a) Describe with the aid of a labelled diagram an experiment you could perform to show that a wire carrying an electric current perpendicular to a magnetic field experiences a force ; indicate on the diagram the direction of the force. [5]
(b) A wire PQRS connected to a battery (not shown) is placed through a piece of card as shown in Fig. 11. An electric current flows in the direction shown.
P
S
Q
R
card
Fig. 11
(i)
Sketch on the card the magnetic field patterns around the wires.
[2]
(ii)
Indicate the direction of the force acting on PQ.
[1]
Suggest two factors which may affect the magnitude of the force on PQ.
[2]
(iii)
End of Paper
09/5116/S4 Prelim/P2
12 ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… 09/5116/S4 Prelim/P2
13 ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… 09/5116/S4 Prelim/P2
14
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09/5116/S4 Prelim/P2
1.
(a) Explain what is meant by the centre of gravity of an object.
[1]
…………………………………………………………………………………………….. ……………………………………………………………………………………………..
(b) The diagram shows a cross-sectional view of a traffic safety cone with the centre of gravity of the cone indicated by the point C which is 0.10 m above its base.
C x
0.10 m
(i) Assuming that the gravitational force on a mass of 1.0 kg is 10 N, calculate the weight of the cone if its total mass is 4.0 kg. [2]
(ii) Explain TWO features in the design of the traffic cone that improve the stability of the cone. [2] ………………………………………………………………………………………. ……………………………………………………………………………………….. ……………………………………………………………………………………….. …………………………………………………………………………………………. …………………………………………………………………………………………..
This paper consists of 12 printed pages (including the cover page), and 3 lined pages.
2
2.
(a)
State the principle of moments for a body in equilibrium.
[1]
………………………………………………………………………………………… ………………………………………………………………………………………… …………………………………………………………………………………………
(b)
Fig. 2.1 shows a person crossing a bridge. .
2.1 The bridge is supported at points A and B. The length of the bridge is 6.0 m and its weight is 2000 N. The centre of gravity of the bridge is at its midpoint. The weight of the person is 750 N. The person is 4.0 m from point B. (i) Calculate the moment of the weight of the bridge about point B.
[2]
(ii) Calculate the moment of the weight of the person about point B.
[1]
(iii) Calculate the force FA exerted by the ground on the bridge at point A.
[2]
(iv) Calculate the force FB exerted by the ground on the bridge at point B.
[1]
09/5116/S4 Prelim/P2
3 3. A beaker containing hot liquid is placed on a table in a room. The temperature of the beaker and its contents changes as shown in Fig. 3.
Fig. 3
4
8
time/min
(a) Explain why the temperature of the beaker and its contents remain constant over the section labelled BC in Fig. 3 . [2] ………………………………………………………………………………………… ………………………………………………………………………………………… …………………………………………………………………………………………. (b) What is the room temperature ?
[1]
………………………………………………………………………………………… ………………………………………………………………………………………… (c)
If the average rate of heat released during section AB is 60 Joules in a second. What is the amount of energy released during this section? [2]
09/5116/S4 Prelim/P2
4
4. People like barbecuing a lot during winter because they could get warm from the fire
at the same time. Meat is pierced on iron forks and grilled over the fire at a distance 20 cm. The meat will be cooked up in 10 minutes. Some people would also wrap the sweet potatoes by using aluminium foil and place them alongside the fire.
(a)
Explain why the meat has to be pierce on an iron fork during barbecuing?
…………………………………………………………………………………………. ……..…………………………………………………………………………………… ……………………………………………………………………………………….. [2] (b)
Explain how heat is transferred from the fire to the meat. …………………………………………………………………………………………. …………………………………………………………………………………………. ……………………………………………………………………………………… [2]
(c)
Suggest one advantage of wrapping the sweet potatoes by using aluminium foil. ……………………………………………………………………………………… [1]
09/5116/S4 Prelim/P2
5
5.
(a)
Fig. 5.1 shows a graph of the variation the vertical displacement s of the ripple tank vibrator with distance d travelled by the wave.
Fig. 5.1
(i)
Determine the wavelength of the wave.
[1]
(ii)
What is the amplitude of the wave?
[1]
(b) Fig. 5.2 below shows a graph of the variation the vertical displacement s of the ripple tank vibrator with time t travelled by the wave.
Fig. 5.2
(i) Determine the frequency of the vibrator.
[2]
(ii) Calculate the speed of the ripples. State clearly the formula used
[2]
09/5116/S4 Prelim/P2
6
6.
The diagram below is drawn to half scale. It shows a ray of light leaving the head of an object AB and striking a converging lens L. The lens forms an image of the object AB on the screen S.
S L A
B
On the diagram, (a)
locate the image of AB and label it I.
[2]
(b)
complete the path of the given ray after it passes through the lens.
[1]
(c)
draw a suitable light ray which enables you to find the position of the focal point of the lens. Label this point F. [1]
(d)
Determine the focal length of the lens.
Focal length of the lens = …………………………
09/5116/S4 Prelim/P2
[1]
7
7.
Fig. 7.1 In Fig. 7.1 shown above, with the switch, S, opened, find the (a) effective resistance between P and Q.
[1]
(b) the reading of the voltmeter.
[1]
(c) the reading of the ammeter.
[1]
The switch now is closed. Find the (d) effective resistance between the P and Q.
[1]
(e) the reading of the voltmeter.
[1]
09/5116/S4 Prelim/P2
8
8.
An unqualified electrical engineer connects three electric fans each rated “220 V, 600 W” at home. He makes a domestic wiring as shown in the diagram below. The mains supply is at 220 V and L, N and E denote the live, neutral and earth wire respectively.
(a) The electrical engineer forgot to connect the Earth wire in this electrical wiring. On the diagram above, show by drawing how the Earth wire should be connected. [1]
(b)
What electric component is missing inside the fan and what is the use of it? [2] ……………………………………………………………………………………………… ……………………………………………………………………………………………….. ………………………………………………………………………………………………… (c)
(d)
After correcting the mistakes, calculate the total current drawn from the mains supply when all the fans are switched on. [2]
Calculate the cost of using the three electric fans for 2 hours given that 1 kWh costs $0.15. [2]
09/5116/S4 Prelim/P2
9 Section B Answer any two questions. Write your answers on the lined paper provided. 9.
The diagram shows the variation of the speed of a lorry as it travels along a level road. The lorry begins to brake at the time t = 20s, and comes to rest when t = 24s.
The lorry has a mass of 1000 kg and the forward driving force on the wheels is 1200 N. (a)
(b)
(c )
For the first 20 s of the motion shown above, calculate (i)
the distance travelled by the lorry,
[1]
(ii)
the work done by the driving force,
[1]
(iii)
the power supplied by the driving force.
[1]
(i)
Calculate the kinetic energy of the lorry while it is travelling at the constant speed. [2]
(ii)
When the lorry is travelling at a constant speed there is no change in its kinetic energy. Suggest what happens to the energy that is provided by the engine.
[1]
During braking the speed of the lorry decreases uniformly. The engine no longer provides a driving force. (i)
Calculate the deceleration of the lorry between t = 20 s and t= 24 s. [1]
(ii)
Calculate the total braking force acting on the lorry during this period. [2]
(iii) Explain why the power dissipated in the brakes to slow the lorry down is greater at the beginning of the braking period than in the end.
09/5116/S4 Prelim/P2
[1]
10
10.
(a) With the aid of a diagram, explain how an electric current may be used to magnetized a steel bar. [3] (b) State two ways to increase the magnetism of a permanent magnet. [2]
(c) The figure shows two chains of clips made of two different metals (iron and steel) that are attached to two ends of a bar magnet.
(i) Which chain, A or B, is made of iron?
[1]
(ii) With reference to forces acting on the clips, th explain why a 5 clip added to chain B will not stay on the chain.
[2]
(iii) When both chains are slowly removed by pulling the top-most clip away from the magnet, which chain does not collapse immediately? Why?
09/5116/S4 Prelim/P2
[2]
11
11.
(a) Describe with the aid of a labelled diagram an experiment you could perform to show that a wire carrying an electric current perpendicular to a magnetic field experiences a force ; indicate on the diagram the direction of the force. [5]
(b) A wire PQRS connected to a battery (not shown) is placed through a piece of card as shown in Fig. 11. An electric current flows in the direction shown.
P
S
Q
R
card
Fig. 11
(i)
Sketch on the card the magnetic field patterns around the wires.
[2]
(ii)
Indicate the direction of the force acting on PQ.
[1]
Suggest two factors which may affect the magnitude of the force on PQ.
[2]
(iii)
End of Paper
09/5116/S4 Prelim/P2
12 ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… 09/5116/S4 Prelim/P2
13 ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… 09/5116/S4 Prelim/P2
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09/5116/S4 Prelim/P2
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