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Figure 25 shows four identical metal cans, each filled with water to the same level - Edexcel - GCSE Physics - Question 10 - 2020 - Paper 1

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Figure 25 shows four identical metal cans, each filled with water to the same level. Each can has three tubes. Water comes out of each tube. Which of these shows t... show full transcript

Worked Solution & Example Answer:Figure 25 shows four identical metal cans, each filled with water to the same level - Edexcel - GCSE Physics - Question 10 - 2020 - Paper 1

Step 1

Calculate the gas supply pressure.

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Answer

To find the gas supply pressure, we can use the equation for pressure difference:

P=himespimesgP = h imes p imes g

Where:

  • PP is the pressure,
  • hh is the height difference (0.200 m),
  • pp is the density of water (1000 kg/m³), and
  • gg is the acceleration due to gravity (approximately 9.81extm/s29.81 ext{ m/s}^2).

Substituting the values into the equation:

P=0.200imes1000imes9.81P = 0.200 imes 1000 imes 9.81

Calculating this gives:

P=1962extN/m2P = 1962 ext{ N/m}^2

Thus, the gas supply pressure is 1962extN/m21962 ext{ N/m}^2.

Step 2

Explain why the value of h does not change.

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Answer

The value of h remains constant regardless of the cross-sectional area of the U-tube because the pressure difference due to a column of fluid is independent of the area.

This is because in the equation P=himespimesgP = h imes p imes g, the parameters pp (density of water) and gg (gravitational field strength) are constants, and the height hh is determined by the balance of the pressures acting at the fluid levels. Therefore, the height, and hence the value of h, does not depend on the area of the tube.

Step 3

Explain why the boat floats lower in the water when there is a load inside the boat.

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Answer

A boat floats based on the principle of buoyancy, which states that it displaces a volume of water equal to its weight. When a load is added to the boat, the overall weight increases, causing the boat to displace more water.

As a result, the water level rises compared to the original position when the boat was empty. The boat sinks lower into the water because it needs to displace more water to balance the increased weight of the load, therefore lowering the waterline.

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