volume_mute

What is the pressure exerted on the floor

publish date2024/09/09 11:16:00 UTC

volume_mute

Calculate the pressure exerted on the floor by a 200-lb man standing on both feet.  if the contact area of each shoe is 3 in. by 10 in., the area of contact is 30 in.2 for each shoe. 

 

2.5 lbs/in²
3.33 lbs/in²
4.5 lbs/in²
5 lbs/in²

Correct Answer

3.33 lbs/in²

Explanation

To calculate the pressure exerted on the floor, you can use the formula:

$\text{Pressure} = \frac{\text{Force}}{\text{Area}}$

Where:

  • The force is the weight of the man, which is 200 lbs.
  • The area is the total contact area of both shoes. Each shoe has an area of 3 in. X 10 in. = 30 in.2and since there are two shoes, the total area is::

Total area=2 X 30 in.= 60 in2

Now, calculate the pressure:

$\text{Pressure} = \frac{200 \text{ lbs}}{60 \text{ in}^2} = 3.33 \text{ lbs/in}^2$

So, the pressure exerted on the floor is 3.33 lbs/in².

Reference

Basic Physics: A Self-Teaching Guide


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