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Module Mastery Paper 3 2011

SPM 2011 – PHYSICS A+ Page 2

QUESTION 1







QUESTION 2







QUESTION 3 A student carries out an experiment to investigate the relationship between the extension, e, of a spring and the mass of its load, m. The apparatus is set up as shown in Diagram 1.1. The original length of the spring, lo is shown in Diagram 1.2.

The load of 50 g is hung from the end of the spring. The length of spring, l is measured by using

a metre rule. The procedure of the experiment is repeated by using mass, m = 100g, 150g, 200g and 250g.

Diagram 1.3, 1.4, 1.5 and 1.6 show the actual corresponding readings of the length of spring, l.

(a) For the experiment described above, identify: (i) The manipulated variable …………………………………………………………………………… [ 1 mark ] (ii) The responding variable …………………………………………………………………………… [ 1 mark ] (iii) The constant variable

……………………………………………………………………………

[ 1 mark ]





(b) (i) Based on Diagram 1.2, determine the original length of spring. lo= ………………………. [ 1 mark ]

(ii) Base on Diagram1.3, 1.4, 1.5 and 1.6, determine the length of

spring l, and their corresponding masses, m. In each case, calculate extension, e, where e = l - lo.

Tabulate the values of m and e in the space below [ 5 marks ]

(c) On the graph paper, plot a graph of e against m [ 5 marks ] (d) Based on your graph, state the relationship between e and m …………………………………………………………………………………… [ 1 mark ] (e) State one precaution that should be taken to improve the results of this

experiment. …………………………………………………………………………………… [ 1 mark ]



QUESTION 4 A student carries out an experiment to investigate the relationship between the pressure, P and

the temperature, T of a fixed mass of air at constant volume. The results of the experiment are shown in the graph of P against T in Diagram 2.1.

(a) Based on the graph in Diagram 2.1. (i) State the relationship between P and T. …………………………………………………………………………... [ 1 mark ]

(ii) Determine the value of T when P = 0 kPa.

[ 2 marks ]

(iii) Determine the value of P when T = – 55CC. [ 2 marks ]

(b) The relationship between P and T is given by the equation P = mT + q where m represents the gradient of the graph and q is the intercept–P

(i) Calculate the gradient of the graph. Show on the graph how you determined m. [ 3 marks ] (ii) By using the equation P = mT + q and answer in (b) (i), find the value of T when P = 100 kPa

[ 4 marks ]

(c) State one precaution that should be taken to improve the results of this experiment. …………………………………………………………………………………… [ 1 mark ]



Diagram 2.1

Graph of P against T

P/ kPa

20

40

60

80



QUESTION 5

A student carries out an experiment to determine the mass, j, of a steel ball bearing. He starts to set up a flat-bottomed tube and makes sure it floats vertically in water. The initial depth is ho as shown in Figure 2.1.

FIGURE 2.1

Figure 2.2 shows the depth, h, of the submerged tube when different numbers, N, of steel ball bearings are put in it.

FIGURE 2.2

ho

Flat-bottomed tube

beaker

water

Sand

h

Flat-bottomed tube

beaker

water

Steel ball bearings



Figure 2.3 shows the graph of depth, h, against the number of steel ball bearings, N, put into it.

14.0

13.0

10.0

11.0

12.0

N

FIGURE 2.3

Graph of h against N

h /cm

16 14 12 10 8

6 4 2 0



(a) Based on the graph, (i) State the relationship between h and N.

………………………………………………………………………………………

[1 mark] (ii) Determine ho when N = 0.

Show on the graph how you get the value ho. ……………………………………………………………………………………..

[2 marks]

(iii) Estimate the number of steel ball bearings, N, in the tube if ho = 11.7 cm. Show on the graph how you get the value of N. …………………………………………………………………………………….

[2 marks] (b) Find the gradient, k, of the graph.

Show on the graph how you get the gradient.

[3 marks]

(c) The mass, j, of a steel ball bearing is given by the equation:

j =0.7854 d2 k

Given that d = 2.50 cm, find j.

[3 marks]

(d) State one precaution that should be taken to improve the results of this experiment.

……….…………………………………………………………………………… ……………….…………………………………………………………………… ………………………………………………………………………………………

[1 mark]



QUESTION 6

A student carries out an experiment to investigate the relationship between the force, F and time, t for a

trolley move a distance of 1m. The result of this experiment is shown in the graph of F against ଵ୲మ

in

diagram 2.1. (a) Based on the graph in Diagram 2.1,

(i)What happen to F as ଵ୲మ

increases?

………………………………………………………………………………........

[1 mark]

(ii) Determine the value of F when ଵ୲మ

= 0.

Show on the graph, how do you determine the value of F.

[2 marks] (iii) Determine the value of t when F = 1.8 N.

[2 marks]

(b) The mass of trolley, m is given by the formula m = ୲మ

ସ.

(i) Calculate the gradient of the graph F against ଵ୲మ

. Show on the graph how you determine

the gradient.

[3 marks]

(ii) By using formula m = ୲మ

ସ and the value obtained in b(i) calculate the mass of

trolley.

[2 marks]

(c) State one precaution that should be taken to improve the results of the experiment. ………………………………………………………………………………………..

[1 mark]



Graph of F against

/ s-2

F / N

0.10 0.20 0.30 0.40 0.50 0

0.40

0.80

1.20

1.60

2.00

2.40

Diagram 2.1



QUESTION 7

Diagram 3 shows two different situations of a skier by wearing ordinary shoes and then wearing snow hoes. The mass of ordinary shoes and the snow shoes are the same

Diagram 3

Based on your observations on the depth of sinking of the skier in the snow by wearing ordinary shoes and by wearing snow shoes.

(a) State one suitable inference [1 mark]

(b) State one appropriate hypothesis that could be investigated.

[1 mark] (c) With the use of apparatus such as a one kg load,plasticine,vernier caliper, different area of

wooden block and other apparatus,describe an experiment to investigate the hypothesis stated in 3(b).

In your description,state clearly the following :

(i) The aim of the experiment (ii) The variables in the experiment (iii) The list of apparatus and materials (iv) The arrangement of the apparatus (v) The procedure of the experiment

Describe how to control measure the manipulated variables and how to measure the responding variables.

(vi) The way to tabulate the data (vii) The way to analyse the data

[10 marks]



QUESTION 8 A boy pushes the boxes along a level walkway as shown in Diagram 4.1. The boy experiences that the

boxes move slowly. When the boy removes one of the boxes as shown in Diagram 4.2, he experiences that the boxes move faster than before although the same force was applied.

Diagram 4.1 Diagram 4.2 Rajah 4.1 Rajah 4.2 Based on the information and obsevation above : (a) State one suitable inference.

[ 1 mark ]

(b) State one suitable hypotesis. [ 1 mark ]

(c) With the use of apparatus such as a trolley, ticker timer, ticker tape, elastic cord

and other apparatus, describe an experiment framework to investigate the hypothesis stated in 4(b).

In your description, state slearly the following :

(i) The aim of the experiment (ii) The variables in the experiment (iii) The list of apparatus and materials (iv) The arrangement of the apparatus (v) The procedure of the experiment.

Describe how to control the manipulated variables and how to measure the responding variables.

(vi) The way to tabulate the data (vii) The way to analyse the data

[10 marks]



QUESTION 9 Figure 4 shows that heat energy is supplied at a constant rate to two similar containers. The current is

switched on for five minutes and it is found that water in B is hotter than water in A.

FIGURE 4

Based on the observation:

(a) State one suitable inference that can be made. [1 mark] (b) State one appropriate hypothesis for an investigation. [1 mark] (a) With the use of apparatus such as thermometer, stop watch and other apparatus, describe

an experimental framework to test your hypothesis.

In your description, state clearly the following: (i) Aim of the experiment

(ii) Variables in the experiment

(iii) List of apparatus and materials

(iv) Arrangement of the apparatus

(v) The procedure of the experiment which includes the method of controlling the

manipulated variable and the method of measuring the responding variable

(vi) Way you would tabulate the data

(vii) Way you would analyse the data

[10 marks]



QUESTION 10

Diagram 3.1 and 3.2 show two wooden tops. One of tops is partly coated with tin. Both tops are the same size and are rotated with the same velocity.

Diagram 3.2 shows the top which is partly coated with tin table to spin longer.

Based on the above information and observations:

(a) State one suitable inference. [ 1 mark ]

(b) State one suitable hypothesis. [ 1 mark ]

(c) With the use of apparatus such as a hacksaw blade, plasticine and other apparatus, describe an experiment framework to investigate the hypothesis stated in 3 (b).

(i) Aim of the experiment. (ii) Variables in the experiment.

(iii) List of apparatus and materials. (iv) Arrangement of apparatus. (v) The procedure of experiment which include the method of controlling the

manipulated variable and the method of measuring the responding variable. (vi) The way you would tabulate the data. (vii) The way you would analyse the data.

[ 10 marks ]

Diagram 3.1

Tin

Tin

Diagram 3.2



QUESTION 11

Diagram 4.1 shows a fisherman starting his fishing journey in the morning. Diagram 4.2 shows the fisherman returning with a boat loaded with fish. The boat sinks deeper into the water.

Based on the above information and observation:

(a) State one suitable inference. [ 1 mark ]

(b) State one suitable hypothesis. [ 1 mark ]

(c) With the use of apparatus such as a eureka can, slotted weight and other apparatus, describe an experiment framework to investigate the hypothesis stated in 4(b).

(i) Aim of the experiment. (ii) Variables in the experiment.

(iii) List of apparatus and materials. (iv) Arrangement of apparatus. (v) The procedure of experiment which include the method of controlling the

manipulated variable and the method of measuring the responding variable. (vi) The way you would tabulate the data. (vii) The way you would analyse the data.

[ 10 marks ]

Diagram 4.1 Diagram 4.2



Guide for paper 3 section A question 2 1. Question based on graphs, conseptualization or extracting information from the graph given.

Soalan berhubung graf. Sama ada mengkonsepsi atau menganalisis graf yang diberi.

2. Understanding the meaning for various shapes of graphs and their characteristics based on y-axis and x-axis.

Perlu menguasai maksud berbagai bentuk graf dan ciri-ciri pada graf merujuk paksi-x dan paksi-y .

The examples of graph for question 2 Contoh graf soalan 2

The meaning of graph’s gradient based on graph shape and axis (refer to a suitable formula)

Maksud kecerunan merujuk bentuk graf dan kuantiti p-x dan p-y (rujuk formula yang sesuai)

v/ms-1 /0C t/s t/min

Gradient : acceleration Gradient : The rate of change of temperature Kecerunan : Pecutan Kecerunan : Kadar perubahan suhu

F/N F/N a/ms-2 m/kg Gradient : mass Gradient : acceleration Kecerunan : jisim Kecerunan : Pecutan 3. Draw a smooth extrapolation line if you are asked to do so.

Lukiskan dengan jelas garisan ekstrapolasi pada graf jika perlu.

4. Draw a large triangle to determine the gradient (4 x 3 large squares) The triangle should be tangential to the curve.

Lukiskan segitiga yang besar pada graf untuk kiraan kecerunan graf.(4 x 3 petak besar) Pastikan segitiga pada garis tangen jika graf melengkung.



ANSWER FORMAT FOR PAPER 3B [12 MARKS]

(a) Inference

Manipulated variable is influenced by the responding variable

0r

Responding variable depends on manipulated variable

(b) Hypothesis

The higher/larger/bigger the manipulated variable, the higher/smaller the responding

variable

(c) Aim To determine the relationship between manipulated variable and responding variable

(d) Variables

(i) manipulated variable

(ii) responding variable

(iii) fixed variable

:

:

: only one fixed variable

*[ list all the variables that are measurable].

Apparatus /

materials

Method : 1.1

1. Set up the apparatus as shown in the figure.

1. Turn on the switch and adjust the rheostat so that the ammeter reads the

current, I= 0.2 A. and record the potential difference, V across the w

Tabulation of

data

:

manipulated variable responding variable

0.2 b1.0

0.3 1.5

0.4 2.0

0.5 2.5

0.6 3.0

0.7 3.5

Analysis of data : State : Sketch a graph of responding variable against manipulated variable

AND sketch a graph:

1. Start the experiment with manipulated variable = …… .unit (practical value)

2 The responding variable is measured …………………………… 3 Repeat the experiment 4 times for manipulated variable



PRECAUTIONARY STEPS FOR INVESTIGATIVE EXPERIMENTS: Paper 3: Question 1 and 2 [1 mark]

No. Type of experiment involving;

Precautions that can be taken

1 Light a. Experiment must be carried out in darkened room.

b. Lens, screen and object must be in line c. Avoid parallax error by placing the eye such

that the line of view is perpendicular to the scale of the ruler.

2 Spring a. make sure the spring is not loaded beyond the elastic limit. (spring return to original length when load is taken off).

b. Avoid parallax error by placing the eye such that the line of view is perpendicular to the scale of the ruler.

3 Electric a. All connections must be secure/tight. b. Off the switch after readings are taken to

prevent wires from heating up (resistance increase)

c. Avoid parallax error by placing the eye such that the line of view is perpendicular to the scale of the ammeter/ voltmeter.

4. Heat a. Liquid must be stirred constantly so that temperature rises evenly.

b. Alluminium block must be wrapped with insulating material to prevent heat lost.

c. Thermometer bulb should be smeared with oil to give better thermal contact with the block.

d. Avoid parallax error by placing the eye such that the line of view is perpendicular to the scale of the thermometer.

5 Measuring instruments such as ammeter, voltmeter, metre rule ...

a. Avoid parallax error by placing the eye such that the line of view is perpendicular to the scale read.

b. Take into account zero error of instrument.

* [Student can give more than one answer for this question. No penalty for the answer which is unsuitable] * unacceptable answer

Avoid parallax error. [without any further explanation]

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