which dam must be stronger, one that hold back 100000 m^3 of water 10 meters deep or one that holds back 1000 m^3 of water 20 meters deep
The 20m Damn should be stronger as the pressure is greater. Pressure=density X gravity X Height
To determine which dam must be stronger, one that holds back 100,000 m³ of water 10 meters deep or one that holds back 1,000 m³ of water 20 meters deep, we need to consider the concept of hydrostatic pressure.
Hydrostatic pressure is the force exerted by a fluid at rest due to the weight of the fluid above it. The formula to calculate hydrostatic pressure is:
Pressure = density × gravity × height
Where:
- Density refers to the density of the fluid (water, in this case)
- Gravity is the acceleration due to gravity (approximately 9.8 m/s² on Earth)
- Height is the vertical distance from the surface of the fluid to the point where pressure is being measured
In this case, we are comparing the hydrostatic pressures exerted by the two dams.
For the first dam holding back 100,000 m³ of water 10 meters deep, we can calculate the hydrostatic pressure:
Pressure1 = density × gravity × height1
Pressure1 = 1000 kg/m³ × 9.8 m/s² × 10 m
For the second dam holding back 1,000 m³ of water 20 meters deep, the hydrostatic pressure is:
Pressure2 = density × gravity × height2
Pressure2 = 1000 kg/m³ × 9.8 m/s² × 20 m
By comparing the calculated pressures, we can determine which dam must be stronger.
anonympus
I don't now
please help me
I don't know
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