The length breadth and the height of the brick is 25cm,7cm and 4cm respectively.Finf the pressure exerted by the Buick when it is kept
1.horizontally,
2.Vertically on a muddy floor and compare.
To find the pressure exerted by the brick in different orientations, we need to calculate the force exerted by the brick and divide it by the area of contact.
1. When the brick is kept horizontally:
The force exerted by the brick in this orientation is its weight, which is given by the formula:
Force = mass * acceleration due to gravity
To find the mass of the brick, we need to know its volume and density. Since the dimensions of the brick are given, we can calculate its volume using the formula:
Volume = length * breadth * height
Given:
Length = 25 cm
Breadth = 7 cm
Height = 4 cm
Volume = 25 cm * 7 cm * 4 cm = 700 cm³
The density of the brick is not given, so we cannot directly calculate the mass. However, we can assume a typical density for a brick, which is around 2 g/cm³.
Mass = Density * Volume
Mass = 2 g/cm³ * 700 cm³ = 1400 g = 1.4 kg
Now, we can calculate the force exerted by the brick:
Force = mass * acceleration due to gravity
Force = 1.4 kg * 9.8 m/s² ≈ 13.72 N
The area of contact when the brick is kept horizontally will be its length multiplied by breadth:
Area = length * breadth
Area = 25 cm * 7 cm = 175 cm² = 0.0175 m²
Therefore, the pressure exerted by the brick when it is kept horizontally is given by:
Pressure = Force / Area
Pressure = 13.72 N / 0.0175 m² ≈ 783.43 Pa
2. When the brick is kept vertically on a muddy floor:
In this case, the force exerted by the brick remains the same, which was calculated above as 13.72 N.
The area of contact when the brick is kept vertically will be its length multiplied by height:
Area = length * height
Area = 25 cm * 4 cm = 100 cm² = 0.01 m²
Therefore, the pressure exerted by the brick when it is kept vertically is given by:
Pressure = Force / Area
Pressure = 13.72 N / 0.01 m² = 1372 Pa
Comparing the pressures:
Pressure horizontally = 783.43 Pa
Pressure vertically = 1372 Pa
From the calculations, we can see that the pressure exerted by the brick when kept vertically on a muddy floor is higher than when kept horizontally.