https://file.aiquickdraw.com/mathbot/file/1725327404184bspifxwg.jpg

Solve this math properly. And also mention the sub-subject and topic from where this question has been taken from 

Let's analyze the image to extract the text and solve the math problem.

### Extracted Problem Statement

The image contains the following text:

> A toy airplane of mass 1000 g flies in a circle (r = 10.0 m) under a net horizontal force of 10.0 N. What is the speed of the airplane?

There is also a small diagram of a toy airplane flying in a circle with radius \( r = 10.0 \) meters and a force \( F = 10.0 \) N acting towards the center.

### Identified Sub-Subject and Topic
This question is from the **Physics** sub-subject, specifically in the topic of **Circular Motion and Centripetal Force**.

### Solution

The key to solving this problem is understanding that the net horizontal force provided is the centripetal force that keeps the airplane moving in a circle. 

The formula for centripetal force \( F \) is:

\[
F = \frac{mv^2}{r}
\]

where:
- \( F \) is the centripetal force,
- \( m \) is the mass of the airplane,
- \( v \) is the speed of the airplane,
- \( r \) is the radius of the circular path.

We are given:
- \( F = 10.0 \) N,
- \( m = 1000 \) grams = 1 kg (since 1000 grams = 1 kg),
- \( r = 10.0 \) meters.

We need to find the speed \( v \) of the airplane.

Rearranging the formula to solve for \( v \), we get:

\[
v = \sqrt{\frac{Fr}{m}}
\]

Substituting the given values:

\[
v = \sqrt{\frac{10.0 \times 10.0}{1}}
\]

\[
v = \sqrt{100} = 10 \, \text{m/s}
\]

### Answer
The speed of the airplane is **10 m/s**.

Would you like further details or have any other questions?

### Follow-Up Questions
1. What is the centripetal acceleration in this scenario?
2. How would the speed change if the radius of the circle were doubled?
3. What would happen to the required centripetal force if the speed of the airplane was halved?
4. How is centripetal force different from centrifugal force?
5. How does mass affect the centripetal force required for circular motion?

**Tip:** When solving physics problems involving circular motion, always identify whether the question is referring to centripetal force (acting towards the center) or centrifugal force (a pseudo-force acting away from the center in a rotating reference frame).

Learn how to calculate the speed of a toy airplane in circular motion with a detailed step-by-step solution. This problem covers key physics concepts, including centripetal force and circular motion. Suitable for high school students.

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