Archimedes’ principle

(a)     (i)      State Archimedes’ principle.
                           Nyatakan prinsip Archimedes.
[1 mark]
                  (ii)     Explain why a balloon filled with helium gas rises up in the air.
                           Jelaskan mengapa sebuah belon yang diisi dengan gas helium naik ke udara.
[4 marks]
         (b)     Diagram 11.1 shows four hot air balloons, P, Q, R and S with different features. You are required to determine the most suitable hot air balloon which is able to  carry three or four people to a higher altitude in a shorter time.
                  Study the features of all the four hot air balloons from the following aspects:
-                The size of the balloon
-                The number of the burners
-                The type of the fabric of the balloon
-                The temperature of the air in the balloon

                  Explain the suitability of the aspects.
                  Justify your choice.
                  Rajah 11.1 menunjukkan empat belon udara panas, P, Q, R dan S dengan ciri-ciri yang berlainan. Anda dikehendaki menentukan belon udara panas yang paling sesuai untuk membawa tiga atau empat orang ke altitud yang lebih tinggi dalam masa yang lebih pendek.
                  Kaji ciri-ciri bagi kesemua empat belon udara panas itu dari aspek berikut:
                  -        Saiz belon
                  -        Bilangan pembakar
                  -        Jenis fabrik bagi belon
                  -        Suhu udara di dalam belon
                  Jelaskan kesesuaian aspek-aspek itu.

                  Beri sebab bagi pilihan anda.

(c)     Diagram 11.3 shows a cylindrical glass tube of uniform cross sectional area of 2 cm2. The glass tube contains lead shots and floats upright in water.
         Rajah 11.3 menunjukkan sebatang tiub kaca dengan luas keratan rentas seragam 2 cm2. Tiub kaca itu mengandungi butir-butir plumbum dan sedang terapung tegak di dalam air.

The density of water is 1 g cm–3,
                  Ketumpatan air ialah 1 g cm–3,
(i)      calculate the total mass of the glass tube and the lead shots.
         hitungkan jumlah jisim tiub kaca dan butir-butir plumbum.
(ii)     the tube is then placed in another liquid of different density.
                           Determine the minimum density of liquid for the tube to float in it.
                           tiub itu kemudian diletakkan di dalam cecair dengan ketumpatan yang berlainan.
                           Tentukan ketumpatan minimum cecair yang membolehkan tiub itu terapung di dalamnya.
[5 marks]

State the meaning correctly
-   Archimedes’ principle states that the buoyant force on an object immersed in a fluid is equal to the weight of fluid displaced by the object.

Explain why a balloon filled with helium gas rises up in the air correctly
-  The balloon acted by two forces: Upthrust and the weight of the balloon
-  The density of helium gas is less than the density of surrounding air
-   Upthrust equals to the weight of the air displaced by the ballloon
-  Upthrust is higher than the weight of the balloon

M1  States a suitable size of the balloon
-  Large balloon

M2  State the reason for M1 correctly
-  To produce bigger buoyant / upthrust // Increase the volume of the air displaced

M3 State a suitable number of the burner
-  Use 2 burners // Many burners

M4  State the reason for M3 correctly
-  To produce bigger flame // heat up the gas in the balloon faster

M5  State a suitable type of fabric of the balloon
-  Synthetic nylon

M6  State the reason for M5 correctly
-  Light-weight, strong and air-proof material

M7 State a suitable temperature of the air in the balloon
-  High temperature of the air in the balloon

M8  State the reason for M7 correctly
-  Reduce the density /weight of the air in the balloon

M9  Choose the most suitable hot air balloon
Hot air balloon Q is chosen

M10 State the reason correctly
Large balloon, use 2 burners / many burners, use synthetic nylon and has high temperature of the air in the balloon // or combination of the reasons

Giving a correct equation
Weight = buoyant force = weight of the water displaced
W = mg = rwater V g
Substitute the equation correctly
m x 10 = (1 × 2 × 12 × 10)


Correct answer with unit
m = 0.024 kg /24 g

Show a correct substitution
m = r V
24 = r (14 x 2)

Correct answer with unit
ρ = 0.83 g cm-3