An elephant stands on four feet. If the area covered by one foot is 0.25 m², calculate the pressure exerted by the elephant on the ground if its weight is 20000 N.
This numerical problem applies the pressure formula: Pressure = Force/Area. The elephant's weight acts as the force, and the total area is the sum of all four feet.
Step 1: Calculate the total area of all four feet. Total Area = 4 × Area of one foot = 4 × 0.25 m² = 1 m².
Step 2: Apply the pressure formula. Pressure = Force/Area.
Step 3: Substitute the values. Pressure = 20000 N / 1 m² = 20000 N/m² = 20000 Pa.
The pressure exerted by the elephant on the ground is 20000 N/m² or 20000 Pa.
Explanation
This numerical problem applies the pressure formula from the chapter: Pressure = Force/Area. The elephant's weight is the force, and the total area is the sum of all four feet.
Solution Steps
Step 1: Calculate the total area of all four feet. Total Area = 4 × Area of one foot = m² = 1 m²
Step 2: Apply the pressure formula. Pressure = Force/Area
Step 3: Substitute the values. Pressure = 20000 N / 1 m² = 20000 N/m² = 20000 Pa