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Figure 8 shows some water in a tank - Edexcel - GCSE Physics - Question 4 - 2021 - Paper 1

Question 4

Figure 8 shows some water in a tank. (i) The bottom of the tank has an area of 0.80 m². The force on the bottom of the tank, due to the water, is 2400 N: Calculate... show full transcript

Worked Solution & Example Answer:Figure 8 shows some water in a tank - Edexcel - GCSE Physics - Question 4 - 2021 - Paper 1

Step 1

Calculate the pressure, due to the water, on the bottom of the tank.

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Answer

To calculate the pressure, we can use the formula:

$P = \frac{F}{A}$

where:

$P$ is the pressure,
$F$ is the force (2400 N), and
$A$ is the area (0.80 m²).

Substituting the values:

$P = \frac{2400 \text{ N}}{0.80 \text{ m}²} = 3000 \text{ Pa}$

Thus, the pressure due to the water on the bottom of the tank is 3000 Pa.

Step 2

Explain how the pressure on the bottom of the tank changes when more water is added to the tank.

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Answer

As more water is added to the tank, the depth of the water column increases. The pressure at the bottom of the tank can be calculated by the equation:

$P = \rho gh$

where:

$\rho$ is the density of the water,
$g$ is the acceleration due to gravity, and
$h$ is the height of the water column.

Since the height $h$ increases as more water is added, the pressure $P$ on the bottom of the tank will also increase. Therefore, the more water added, the greater the pressure on the bottom of the tank.

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