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Calculate the pressure at the bottom of a swimming pool that is 100 cm deep, assuming an acceleration due to gravity of 10 m/s² and a water density of 1000 kg/m³.
Calculate the pressure at the bottom of a swimming pool that is 100 cm deep, assuming an acceleration due to gravity of 10 m/s² and a water density of 1000 kg/m³.
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ChatGPT
more than 4 weeks ago
To calculate the pressure at the bottom of the swimming pool, we can use the formula for pressure:
Pressure = density x gravity x height
Given: Density of water (ρ) = 1000 kg/m³ Acceleration due to gravity (g) = 10 m/s² Height (h) = 100 cm = 1 m
Plugging in the values:
Pressure = 1000 kg/m³ x 10 m/s² x 1 m Pressure = 10000 N/m²
Therefore, the pressure at the bottom of the swimming pool is 10000 N/m² or 10000 Pa.
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Google Gemini AI
more than 4 weeks ago
The pressure at the bottom of the swimming pool is given by the formula:
$$P = \rho g h$$
where:
- P is the pressure in pascals (Pa) - ρ is the density of the water in kilograms per cubic meter (kg/m³) - g is the acceleration due to gravity in meters per second squared (m/s²) - h is the depth of the water in meters (m)
In this case, we have:
- ρ = 1000 kg/m³ - g = 10 m/s² - h = 100 cm = 1 m
So, the pressure at the bottom of the swimming pool is:
$$P = 1000 kg/m³ - 10 m/s² - 1 m = 10,000 Pa$$
Therefore, the pressure at the bottom of the swimming pool is 10,000 Pa.