An elephant of mass 500kg stands with all four feet on the ground .each foot has an area of 0.08m.calculate the pressure exerted on the ground (g 10m/s).
total foot area ... 4 * .08 m^2
force = 500 kg * 10 m/s^2
pressure = force / area
... N/m^2 is Pascals
Christabel
To calculate the pressure exerted on the ground by the elephant, we can use the formula:
Pressure = Force / Area
First, let's calculate the force exerted by the elephant's weight. The weight can be determined using the formula:
Weight = Mass * Acceleration due to gravity
Given:
Mass of the elephant (m) = 500 kg
Acceleration due to gravity (g) = 10 m/s²
Weight = 500 kg * 10 m/s² = 5000 N
Now, we need to calculate the total area that is in contact with the ground. Since all four feet are on the ground, the total area is:
Total Area = 4 * Foot Area
Given:
Foot Area (A) = 0.08 m²
Total Area = 4 * 0.08 m² = 0.32 m²
Finally, we can calculate the pressure exerted on the ground:
Pressure = Force / Area
Pressure = 5000 N / 0.32 m²
Using a calculator, we can find that the pressure exerted on the ground by the elephant is approximately 15,625 Pa.
To calculate the pressure exerted by the elephant on the ground, we can use the formula:
Pressure = Force / Area
The force exerted by the elephant can be found using Newton's second law of motion, which states that Force equals mass times acceleration:
Force = mass * acceleration
Given that the mass of the elephant is 500 kg and the acceleration due to gravity is 10 m/s², we can calculate the force:
Force = 500 kg * 10 m/s² = 5000 N
Now, we can determine the pressure by dividing the force by the total area of the four feet:
Area = 0.08 m² * 4 = 0.32 m²
Pressure = 5000 N / 0.32 m² = 15625 N/m²
Therefore, the pressure exerted by the elephant on the ground is 15625 N/m².