A 60-kg person’s two feet cover an area of 500 cm2. Determine thepressure exerted by the two feet on the ground.
Question
A 60-kg person’s two feet cover an area of 500 cm2. Determine thepressure exerted by the two feet on the ground.
Solution
Sure, here's how to solve this problem:
Step 1: Convert the weight of the person into force. The weight of an object is its mass times the acceleration due to gravity. In this case, the person's mass is 60 kg and the acceleration due to gravity is approximately 9.8 m/s². So, the force is 60 kg * 9.8 m/s² = 588 Newtons.
Step 2: Convert the area from cm² to m², because the standard unit of pressure (Pascal) is in terms of Newton per square meter (N/m²). 1 m² = 10,000 cm², so 500 cm² = 0.05 m².
Step 3: Calculate the pressure. Pressure is defined as force per unit area. So, the pressure exerted by the person on the ground is 588 Newtons / 0.05 m² = 11,760 Pascal.
So, the pressure exerted by the two feet on the ground is 11,760 Pascal.
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