The aeroplane is high above the Earth’s surface - Edexcel - GCSE Physics - Question 10 - 2023 - Paper 2
Question 10
The aeroplane is high above the Earth’s surface.
The atmospheric pressure outside the aeroplane is 23 000 Pa.
The air pressure inside the aeroplane is 80 000 Pa.
(i... show full transcript
Worked Solution & Example Answer:The aeroplane is high above the Earth’s surface - Edexcel - GCSE Physics - Question 10 - 2023 - Paper 2
Step 1
Calculate the pressure difference between inside and outside of the aeroplane.
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Answer
The pressure difference is calculated using the formula:
Thus, the pressure difference between inside and outside of the aeroplane is 57,000 Pa.
Step 2
Calculate the size of the force on the window due to the cabin air pressure of 80 000 Pa.
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Answer
Using the formula for pressure:
P=AF
We can rearrange this to find force:
F=P×A
Substituting the known values:
F=80,000extPa×0.094extm2=7,520extN
Therefore, the size of the force on the window is 7,520 N.
Step 3
Explain how the force due to the air pressure inside the cabin on the small window differs from the force on the larger window.
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The force exerted by air pressure on a surface is directly proportional to the area of that surface. For the larger window, the force calculated earlier is based on its surface area. In contrast, for the smaller window, the same air pressure applies, but since the area is smaller, the force will be less. Hence, the force on the smaller window will be smaller than that on the larger window, assuming the pressures remain constant.
Step 4
Draw an arrow on Figure 23 to show the direction of the resultant force due to the air pressure inside the cabin on the window at point X.
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The arrow should be drawn pointing towards the window, indicating the direction of the resultant force due to the higher air pressure inside the cabin compared to the atmospheric pressure outside.
Step 5
Describe how the atmospheric pressure changes with height above the Earth’s surface.
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Answer
As height above the Earth's surface increases, atmospheric pressure decreases. This is because the density of air decreases with altitude, resulting in fewer air molecules exerting pressure. Data from Figure 24 shows a clear decrease in pressure values with increasing height, illustrating this trend.
Step 6
Suggest one reason why the atmospheric pressure changes with height above the Earth’s surface.
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One reason atmospheric pressure decreases with height is that the weight of the air above a given point decreases. As you go higher in the atmosphere, there is less air above to exert pressure, resulting in lower atmospheric pressure.