The density of a fresh water is 1000 kg/m^3 a 12 cm side cube is submerged to a depth of 30 cm 1-cauculate the pressure at:a-the bottom surface of the cube
B-the top surface of the cube
2-calculate the force entered by water on each surface
To calculate the pressure at the bottom and top surfaces of the cube, we can use the formula:
Pressure = Density x Gravity x Depth
1a) To calculate the pressure at the bottom surface of the cube:
Density of water = 1000 kg/m^3
Depth = 30 cm = 0.3 m (converted to meters)
Pressure = Density x Gravity x Depth
= 1000 kg/m^3 x 9.8 m/s^2 x 0.3 m
≈ 2940 pascal (Pa)
Therefore, the pressure at the bottom surface of the cube is approximately 2940 Pa.
1b) To calculate the pressure at the top surface of the cube:
The top surface of the cube is at the same depth as the bottom surface, so the pressure at the top surface is the same as the pressure at the bottom surface.
Therefore, the pressure at the top surface of the cube is also approximately 2940 Pa.
2) To calculate the force exerted by water on each surface, we can use the formula:
Force = Pressure x Area
Since the cube has 6 equal faces, each face has an area of (12 cm)^2 = 0.144 m^2 (converted to square meters).
Force on each surface = Pressure x Area
≈ 2940 Pa x 0.144 m^2
≈ 423.36 Newtons (N)
Therefore, the force exerted by water on each surface of the cube is approximately 423.36 N.
To calculate the pressure at the bottom surface and top surface of the cube submerged in water, we can use the formula:
Pressure = density × gravity × depth
Given:
Density of freshwater = 1000 kg/m^3
Depth = 30 cm = 0.3 m
Gravity = 9.8 m/s^2
1. Calculating the pressure at the bottom surface of the cube:
Pressure (bottom) = density × gravity × depth
= 1000 kg/m^3 × 9.8 m/s^2 × 0.3 m
= 2940 Pa
2. Calculating the pressure at the top surface of the cube:
As the cube is completely submerged, the pressure at the top surface will be the same as the atmospheric pressure. So, the pressure at the top surface is approximately equal to the atmospheric pressure.
Now, to calculate the force exerted by the water on each surface, we need to multiply the pressure by the surface area.
Given:
Side length of the cube = 12 cm = 0.12 m
Force = Pressure × Surface Area
1. Force on the bottom surface of the cube:
Surface Area (bottom) = (side length)^2 = (0.12 m)^2 = 0.0144 m^2
Force (bottom) = Pressure (bottom) × Surface Area (bottom)
= 2940 Pa × 0.0144 m^2
= 42.336 N
2. Force on the top surface of the cube:
Surface Area (top) = (side length)^2 = (0.12 m)^2 = 0.0144 m^2
Force (top) = Pressure (top) × Surface Area (top)
= Atmospheric Pressure × Surface Area (top)
The force on the top surface will depend on the atmospheric pressure at the given location. You need to take the atmospheric pressure at that specific place and calculate the force using the same formula.
Note: Atmospheric pressure at standard conditions is approximately 101,325 Pa.