Question

В цилиндрический сосуд налили воду высотой 30 см.С какой силой вода будет оказывать давление на нижнюю поверхность тонкой пластинки площадью 5см квадратных,которая находится на расстоянии 10 см от дна сосуда

Answer 1

Calculation of the Force Exerted by Water on the Plate

To calculate the force exerted by water on the bottom surface of the thin plate, we need to consider the pressure exerted by the water at that depth. The pressure exerted by a fluid at a certain depth is given by the formula:

Pressure = density × gravity × height

In this case, the height is the distance from the bottom of the vessel to the plate, which is 10 cm or 0.1 m. The density of water is approximately 1000 kg/m³, and the acceleration due to gravity is approximately 9.8 m/s².

Using these values, we can calculate the pressure exerted by the water:

Pressure = 1000 kg/m³ × 9.8 m/s² × 0.1 m

Now, to find the force exerted by the water on the plate, we multiply the pressure by the area of the plate. The area of the plate is given as 5 cm² or 0.0005 m².

Force = Pressure × Area

Substituting the values, we get:

Force = (1000 kg/m³ × 9.8 m/s² × 0.1 m) × 0.0005 m²

Now, let's calculate the force:

Force = 0.049 N

Therefore, the water will exert a force of 0.049 Newtons on the bottom surface of the thin plate.

Please note that the calculation assumes that the water is incompressible and the vessel is sealed, so there is no air pressure acting on the water surface.