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Seorang pelajar menjalankan eksperimen untuk mengkaji hubungan antara pemanjangan spring, \(x\) dan berat pemberat, \(W\). Susunan alat radas ditunjukkan dalam Rajah 1.1.
A student carries out an experiment to investigate the relationship between the extension of spring, \(x\) and weight of load, \(W\). The apparatus is set up as shown in Diagram 1.1.
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Rajah 1.1
Diagram 1.1
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Spring akan memanjang apabila beban digantung pada hujungnya. Panjang spring, l direkodkan.
Rajah 1.2 menunjukkan panjang asal spring, \(l_0\).
Rajah 1.3 menunjukkan panjang, \(l\), untuk \(W\)= 10 N.
The spring will extend when a weight is hung at one end. The length of spring, l is recorded.
Diagram 1.2 shows the initial length of spring, \(l_0\).
Diagram 1.3 shows the length of spring, \(l\), for \(W\)= 10 N.
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Rajah 1.2
Diagram 1.2
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\(l_0=\underline{\quad\quad\quad\quad}\text{ cm}\) |
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Rajah 1.3
Diagram 1.3
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\(l=\underline{\quad\quad\quad\quad}\text{ cm}\) |
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Prosedur ini diulang dengan \(W\)= 20 N, 30 N, 40 N dan 50 N. Panjang spring yang sepadan ditunjukkan pada Rajah 1.4, 1.5, 1.6 dan 1.7.
The procedure is repeated with \(W\)= 20 N, 30 N, 40 N and 50 N. The corresponding length of spring are shown in Diagram 1.4, 1.5, 1.6 and 1.7.
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Rajah 1.4
Diagram 1.4
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\(W=20\text{ N}\\\,\\l=\underline{\quad\quad\quad\quad\quad\quad}\text{ cm}\) |
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Rajah 1.5
Diagram 1.5
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\(W=30\text{ N}\\\,\\l=\underline{\quad\quad\quad\quad\quad\quad}\text{ cm}\) |
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Rajah 1.6
Diagram 1.6
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\(W=40\text{ N}\\\,\\l=\underline{\quad\quad\quad\quad\quad\quad}\text{ cm}\) |
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Rajah 1.7
Diagram 1.7
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\(W=50\text{ N}\\\,\\l=\underline{\quad\quad\quad\quad\quad\quad}\text{ cm}\) |
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(a)
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Berdasarkan eksperimen yang dijalankan, anda dikehendaki nyatakan:
Based on the experiment conducted, you are required state:
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(i)
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Pemboleh ubah yang dimanipulasikan
The manipulated variable
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......................................................................................................................................................................................... |
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[1 markah]
[1 mark] |
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(ii)
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Pemboleh ubah bergerak balas
The responding variable
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......................................................................................................................................................................................... |
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[1 markah]
[1 mark] |
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(b)
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Berdasarkan Rajah 1.2 di halaman 2, catat panjang asal spring, \(l_0\).
Based on Diagram 1.2 on page 2, record the initial reading of spring, \(l_0\).
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\(l_0=\underline{\quad\quad\quad\quad\quad\quad\quad}\) |
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[1 markah]
[1 mark] |
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(c)
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Berdasarkan Rajah 1.3, 1.4, 1.5, 1.6 dan 1.7 pada halaman 2 dan 3, catatkan bacaan \(l\).
Seterusnya, hitung nilai pemanjangan spring, \(x\), dengan menggunakan persamaan berikut:
\(x=l-l_0\) di mana \(l_0\) adalah panjang asal spring.
Jadualkan data anda bagi semua nilai \(W\), \(l\) dan \(x\) dalam ruang di bawah.
Based on Diagram 1.3, 1.4, 1.5, 1.6 and 1.7 on pages 2 and 3, record there radings of \(l\).
Then calculate the extension of spring, \(x\), by using the following equation:
\(x=l-l_0\) where \(l_0\) is the initial reading of the spring.
Tabulate your results for all values of \(W\), \(l\) and \(x\) in the space below:
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[4 markah]
[4 marks] |
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(d)
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Pada kertas graf, lukiskan graf \(x\) melawan \(W\).
On the graph paper, draw a graph of \(x\) against \(W\).
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[3 markah]
[3 marks] |
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(e)
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Hitung kecerunan, \(k\), bagi graf \(x\) melawan \(W\).
Tunjukkan pada graf itu bagaimana anda menentukan nilai \(k\).
Calculate the gradient, \(k\), of the graph \(x\) against \(W\).
Show on the graph how do you determine the value of \(k\).
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[3 markah]
[3 marks] |
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(f)
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Berdasarkan graf di 1(d) , nyatakan hubungan antara \(x\) dan \(W\).
Based on the graph in 1(d), state the relationship between \(x\) and \(W\).
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[1 markah]
[1 mark] |
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(g)
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Sekiranya satu spring ditambah secara selari pada Rajah 1.3, apakah yang akan berlaku pada pemanjangan spring?
If a spring is added parallel on Diagram 1.3, what will happen to the extension of the spring?
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[1 markah]
[1 mark] |
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