Question 2 of 11intermediate🔧 ApplyNumerical3 marks

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.

Correct Answer

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.

Exercise: Keep the curiosity alive | Q: 4 | (Page Page 16)
For More Understanding

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

  1. Step 1: Calculate the total area of all four feet. Total Area = 4 × Area of one foot = 4×0.254 \times 0.25 m² = 1 m²

  2. Step 2: Apply the pressure formula. Pressure = Force/Area

  3. Step 3: Substitute the values. Pressure = 20000 N / 1 m² = 20000 N/m² = 20000 Pa