https://file.aiquickdraw.com/mathbot/file/172643550731337ltsbvy.jpg

The problem in the image asks to calculate the pressure that Harry exerts on the floor, given the following information:

- Force exerted by Harry due to his weight: \( 810 \, \text{N} \)
- Area of the soles of his shoes: \( 300 \, \text{cm}^2 \)

### Step 1: Convert the area to square meters
We need to convert the area from square centimeters to square meters because pressure is measured in Newtons per square meter (N/m²).

\[
1 \, \text{m}^2 = 10^4 \, \text{cm}^2
\]

So,

\[
300 \, \text{cm}^2 = \frac{300}{10^4} \, \text{m}^2 = 0.03 \, \text{m}^2
\]

### Step 2: Calculate pressure
Pressure \( P \) is given by the formula:

\[
P = \frac{F}{A}
\]

Where:
- \( F = 810 \, \text{N} \) (force)
- \( A = 0.03 \, \text{m}^2 \) (area)

Now, calculate:

\[
P = \frac{810}{0.03} = 27,000 \, \text{N/m}^2
\]

### Final Answer:
The pressure Harry exerts on the floor is \( 27,000 \, \text{N/m}^2 \).

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. How would the pressure change if the area of Harry's shoes increased?
2. What is the relationship between force, area, and pressure?
3. How is pressure measured in different unit systems, like in Pascal?
4. How does the concept of pressure apply in fluids, such as water?
5. Can pressure ever be negative, and if so, under what conditions?

**Tip:** Always ensure units are consistent when solving physics problems to avoid calculation errors!

Harry exerts a force of 810 N on the ground, due to his weight. The total area of the soles of his shoes is 300 cm². Calculate the pressure he exerts on the floor in Newtons per square meter (N/m²).

Learn how to calculate the pressure Harry exerts on the floor using the formula Pressure = Force / Area. This problem involves a force of 810 N and an area of 300 cm², converted to m² for final pressure in N/m². Ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation