Question

Аквариум наполовину наполнен водой. С какой силой давит вода на стенку аквариума длинной 50 см если высота стенок аквариума 40 см? плотность воды 1000 см/ м^3

Answer 1

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Answer 2

Calculation of the Force Exerted by Water on the Aquarium Wall

To calculate the force exerted by water on the wall of the aquarium, we can use the formula:

Force = Pressure x Area

The pressure exerted by water is given by the formula:

Pressure = Density x Gravity x Height

Given that the density of water is 1000 kg/m³ and the height of the aquarium wall is 40 cm (or 0.4 m), we can calculate the pressure:

Pressure = 1000 kg/m³ x 9.8 m/s² x 0.4 m

Now, we need to calculate the area of the wall that the water is exerting force on. Since the aquarium is half-filled with water, the height of the water column is 20 cm (or 0.2 m). The length of the wall is given as 50 cm (or 0.5 m).

Area = Length x Height

Area = 0.5 m x 0.2 m

Now, we can substitute the values into the formula for force:

Force = Pressure x Area

Force = (1000 kg/m³ x 9.8 m/s² x 0.4 m) x (0.5 m x 0.2 m)

Calculating this expression will give us the force exerted by the water on the wall of the aquarium.

Please note that the given density of water is in cubic centimeters per cubic meter (cm³/m³). To convert it to kilograms per cubic meter (kg/m³), we need to divide it by 1000.

Let's calculate the force using the given values.