The interior of a submarine located at a depth of 50 m in seawater is maintained at
sea-level atmospheric pressure. Find the force acting on a window 20 cm square.
The density of seawater is 1.03 × 103
kg/m3
a boy runs 10m/sec at 10m/sec and he walks for 30 sec at 10m/sec what is the average of speed of the boy ?
A\ 5M/S B/ 20M/S C/15M/S D/10M/S E/ None
To find the force acting on the window, we need to calculate the hydrostatic pressure exerted by the seawater at a depth of 50 m.
Step 1: Calculate the pressure at the given depth.
The pressure exerted by a fluid at a given depth is given by the formula:
P = ρgh
Where:
P is the pressure (in Pascals)
ρ is the density of the fluid (in kg/m3)
g is the acceleration due to gravity (approximately 9.8 m/s2)
h is the depth (in meters)
Given:
ρ = 1.03 × 103 kg/m3
g = 9.8 m/s2
h = 50 m
Plugging in the values, we get:
P = (1.03 × 103 kg/m3) × (9.8 m/s2) × (50 m)
P ≈ 5.039 × 104 Pa
Step 2: Calculate the total force.
The force acting on the window is equal to the pressure exerted on it multiplied by its area.
Given:
Area of the window = 20 cm × 20 cm = (20 cm)2
To convert the area to square meters, we divide by 10,000 (since there are 10,000 square centimeters in 1 square meter).
Area = (20 cm)2 ÷ 10,000
Area = 0.04 m2
Now, we can calculate the force:
Force = Pressure × Area
Force = (5.039 × 104 Pa) × (0.04 m2)
Force ≈ 2.0156 × 103 N
Therefore, the force acting on the window is approximately 2.0156 × 103 Newtons.
To find the force acting on a window in a submarine located at a depth of 50 m in seawater, we can use the concept of pressure and the formula for calculating pressure.
The pressure at a certain depth in a fluid is given by the formula:
Pressure = density × gravitational acceleration × depth
In this case, the density of seawater is given as 1.03 × 10^3 kg/m^3 and the depth is 50 m. We also know that the gravitational acceleration is approximately 9.8 m/s^2.
So, we can calculate the pressure at this depth:
Pressure = 1.03 × 10^3 kg/m^3 × 9.8 m/s^2 × 50 m
Now, since we want to find the force acting on a window, we can use the definition of pressure as force per unit area:
Pressure = Force / Area
Rearranging the formula, we get:
Force = Pressure × Area
The area of the window is given as 20 cm^2. We need to convert it to square meters:
Area = 20 cm^2 = 20 × (0.01 m)^2 = 0.002 m^2
Now, we can substitute the values into the formula to find the force:
Force = Pressure × Area
Force = (1.03 × 10^3 kg/m^3 × 9.8 m/s^2 × 50 m) × 0.002 m^2
Calculating this expression will give us the force acting on the window.