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Figure 3 shows a diver swimming in a lake - Edexcel - GCSE Physics - Question 2 - 2019 - Paper 1

Question 2

Figure 3 shows a diver swimming in a lake. The pressure on the diver is due to both the water above him and the Earth's atmosphere. The pressure of air on the surf... show full transcript

Worked Solution & Example Answer:Figure 3 shows a diver swimming in a lake - Edexcel - GCSE Physics - Question 2 - 2019 - Paper 1

Step 1

How many atmospheres of pressure will be on the diver at a depth 20m?

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Answer

To determine the total pressure on the diver at a depth of 20m, we need to account for both the atmospheric pressure and the pressure due to the water.

Calculate the pressure due to water: The pressure from a column of water can be calculated using the formula:

$P_{water} = \rho g h$

where:
- (P_{water}) = pressure due to water
- (\rho) = density of water (approximately 1000 kg/m³)
- (g) = acceleration due to gravity (approximately 9.81 m/s²)
- (h) = height of the water column (20 m)
Now substituting:

$P_{water} = 1000 imes 9.81 imes 20 = 196200 \, Pa$
Calculate the atmospheric pressure: The pressure of the atmosphere at the surface is approximately 101325 Pa, which is equivalent to 1 atmosphere.
Total pressure at depth: The total pressure at a depth of 20m is the sum of the atmospheric pressure and the pressure due to the water:

$P_{total} = P_{water} + P_{atm} = 196200 \, Pa + 101325 \, Pa = 297525 \, Pa$

Finally, to express this in atmospheres:

$\frac{297525 \, Pa}{101325 \, Pa/atm} \approx 2.93 \, atmospheres$

Therefore, the pressure on the diver at a depth of 20m is approximately 3 atmospheres.

Step 2

Calculate the pressure that the container exerts on the floor.

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Answer

To calculate the pressure exerted by the container on the floor, we can use the equation mentioned:

$pressure = \frac{force}{area}$

Calculate the area of the container's base: Given the length is 6.0m and the width is 2.0m, the area (A) can be calculated as:

$A = length \times width = 6.0m \times 2.0m = 12.0m^2$
Use the weight of the container as the force: The weight (force) of the container is given as 15000 N.
Substituting into the pressure formula:

$pressure = \frac{15000 \, N}{12.0 \, m^2} = 1250 \, Pa$

Thus, the pressure that the container exerts on the floor is 1250 Pa.

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Figure 3 shows a diver swimming in a lake - Edexcel - GCSE Physics - Question 2 - 2019 - Paper 1

Worked Solution & Example Answer:Figure 3 shows a diver swimming in a lake - Edexcel - GCSE Physics - Question 2 - 2019 - Paper 1

How many atmospheres of pressure will be on the diver at a depth 20m?

Calculate the pressure that the container exerts on the floor.

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