https://file.aiquickdraw.com/mathbot/file/17268097861437k4rllix.jpg

I see that you've uploaded an image. Let me extract the mathematical content from it and solve the questions for you.The image you provided contains a physics problem about work and power in the Malay language. Here is a translation and summary of the key details in the problem:

**Problem Summary:**

You are tasked with calculating the power exerted by three people:

1. **Julian**  
   - Mass: 75 kg  
   - Height of stairs: 15 meters  
   - Time taken: 9.5 seconds

2. **Hasnah**  
   - Mass: 50 kg  
   - Height of stairs: 15 meters  
   - Time taken: 11.5 seconds

3. **Chong**  
   - Mass: 60 kg  
   - Height of stairs: 15 meters  
   - Time taken: 10 seconds  

The gravitational acceleration (g) is \( 9.8 \, \text{m/s}^2 \).

The formula to calculate power (\( P \)) is:

\[
P = \frac{W}{t} = \frac{mgh}{t}
\]

Where:
- \( m \) is the mass,
- \( g \) is the acceleration due to gravity (\( 9.8 \, \text{m/s}^2 \)),
- \( h \) is the height,
- \( t \) is the time.

Next, I will calculate the power exerted by each person.

1. **Julian's Power:**

\[
P_{\text{Julian}} = \frac{75 \times 9.8 \times 15}{9.5} \, \text{watts}
\]

2. **Hasnah's Power:**

\[
P_{\text{Hasnah}} = \frac{50 \times 9.8 \times 15}{11.5} \, \text{watts}
\]

3. **Chong's Power:**

\[
P_{\text{Chong}} = \frac{60 \times 9.8 \times 15}{10} \, \text{watts}
\]

Let's calculate these values.The power exerted by each person is as follows:

1. **Julian**: \( 1160.53 \, \text{watts} \)
2. **Hasnah**: \( 639.13 \, \text{watts} \)
3. **Chong**: \( 882.00 \, \text{watts} \)

The next part of the problem asks to determine who exerted the most power. Clearly, **Julian** exerted the most power, at approximately \( 1160.53 \, \text{watts} \).

Would you like any further details or explanations?

Here are 5 related questions:
1. What is the unit of power and how is it defined?
2. How would the power change if the height of the stairs increased?
3. If Hasnah had the same mass as Julian, what would her power be?
4. How does the time taken affect the power calculation?
5. What is the physical significance of the work done in this scenario?

**Tip:** Power is directly proportional to the work done and inversely proportional to the time taken.

Calculate the power exerted by three individuals (Julian, Hasnah, Chong) climbing stairs with given masses, heights, and time taken.

Learn how to calculate the power exerted by Julian, Hasnah, and Chong as they climb stairs with known masses, heights, and time taken. This problem involves key physics concepts such as work, power, and gravitational potential energy. Suitable for high school students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation