A Cylinder Rod and The Buoyant Force





Diagram 1.1

A student carries out an experiment to investigate the relationship between the depth of immersion, d, of a cylinder rod and the buoyant force, F. Diagram 1.1 shows the cylinder rod is hung to a spring balance in air. The reading of spring balance is W0.
Seorang pelajar menjalankan eksperimen untuk mengkaji hubungan antara kedalaman rendaman, d, rod silinder dengan daya apungan, F. Rajah 1.1 menunjukkan rod silinder digantung pada neraca spring di udara. Bacaan neraca spring ialah W0
.
The rod is immersed into a beaker of water.
Diagram 1.2 shows the reading of the spring balance, W1, when the rod is immersed to a depth, d = 5.0 cm.
Rod itu direndam ke dalam bikar berisi air.
Rajah 1.2 menunjukkan bacaan sring,W1, apabila rod itu direndamkan sehingga ke dalam , d = 5.0 cm.

The experiment is repeated with the immersion depth of d = 10.0 cm, 15.0 cm, 20.0 cm and 25.0 cm. The corresponding readings of spring balance are shown in Diagram 1.2,1.3,1.4,1.5,1.6.
Eksperimen diulangi dengan kedalaman,d = 10.0 cm, 15.0 cm, 20.0 cm dan 25.0 cm. Bacaan neraca spring yang sepadan ditunjukkan dalam rajah 1.2,1.3,1.4,1.5,1.6.




Diagram 1.2








Diagram 1.3






Diagram 1.4






Diagram 1.5






Diagram 1.6




(a) Identify:
kenal pasti :


i. The manipulated variable

Pembolehubah yang dimanipulasi

.....................................


ii. The responding variable

Pembolehubah bergerak balas

......................................


iii. The constant variable.

Pembolehubah dimalarkan.

.....................................


(b) i. Based on diagram 1.1, record the reading o f spring balance,W0.

Berdasarkan Rajah 1.1, catat bacaan neraca spring, W0.


W0 = ..................N



ii. Based on Diagram 1.2,1.3,1.4,1.5,1.6 record the readings of W, spaces provided.

Berdasarkan rajah 1.2,1.3,1.4,1.5,1.6 catatkan bacaan W, dalam ruang yang disediakan.


iii. For each value of w, in 1(b)(iii), calculate the buoyant force, F, by using the following equation:



F=W0-W

where W0 is the reading of the spring balance in air.
Record the value of F, in space provided.

Bagi setiap nilai W
0 di 1(b)(ii), hitung daya apungan, F, dengan menggunakan persamaan berikut :

F=W0-W

di mana W0 adalah bacaan neraca spring di udara.
catatkan nilai F, dalam ruang yang disediakan.

(c) Tabulate your results for all values of d,W and F in the space below:
Jadualkan data anda bagi semua nilai d,W dan F dalam ruang di bawah.


(d) On the graph paper, draw a graph of F against d.
Pada kertas graf, lukiskan graf F melawan d.


(e) Based on the graph in 1(d), state the relationship between F and d.
Berdasarkan graf di 1(d), nyatakan hubungan antara F dan d.

................................................




Question
Answer
Mark

1
(a)(i)
Manipulated variable =   Depth of the rod immersed // d
                                         Kedalaman rendaman // d
1



(ii)
Responding variable =      Reading of spring balance // Buoyant Force // F
                                         Bacaan neraca spring // Daya apungan // F
1



(iii)
Constant variable       =    Cross sectional area of rod // Density of liquid // 
                                         Gravitational Force, g
                                         Luas keratan rentas rod // Ketumpatan cecair //    
                                         Daya graviti, g


Spring
1


(b) (i)
  W0 = 9.3 N
1


(ii)
  W = 8.5, 7.7, 7.0, 6.3, 5.6

  All correct : 2 marks
  At least 3 correct : 1 mark

2





(iii)
F = 0.8, 1.6, 2.3, 3.0, 3.7
1


(c)

d/cm
W/N
F/N
5.0
8.5
0.8
10.0
7.7
1.6
15.0
7.0
2.3
20.0
6.3
3.0
25.0
5.6
3.7
               
  1 mark – 3 columns for d, W and F
  1 mark – correct  units for each d, W and F
  1 mark – all values are consistent





3










(d)
Draw the graph of  x  against W .
A     -  Label y-axis and x-axis correctly √
B     - States the unit at the axis correctly √
C        - Both axes with the even and uniform scale 
D        - 5 points correctly plotted: √  
    -at least 3 points correctly plotted √
E      - a smooth best straight line √
F     - minimum size of the graph is 5 x  4 squares of  2 cm 2 cm. 


           7 √      - 5 marks
           6-5 √   - 4 marks
          3-4 √   - 3 marks
          2 √       - 2 marks
          1 √       - 1 marks



5