https://file.aiquickdraw.com/mathbot/file/1726708685584mz4kzain.jpg

Let's break down the two questions from the image.

### 1. Ferris Wheel Question: Direction of Normal Force

When riding a Ferris wheel that is rotating at constant speed, the direction of the normal force changes depending on your position:

- **At the top of the wheel**: The normal force from the seat is directed **upward** (towards the center of the wheel). This normal force acts against your weight, but the overall sensation would feel lighter because both gravity and the normal force are directed toward the center of the wheel.
  
- **At the bottom of the wheel**: The normal force is also directed **upward**, but in this case, it must be stronger than your weight to support you and keep you moving in a circular path. The normal force here would make you feel heavier because it is greater than the force of gravity at this point.

### 2. Satellites and Earth's Gravitational Attraction

The second question deals with the relationship between the gravitational force and the distance from the Earth.

- According to Newton's law of universal gravitation, the gravitational force decreases as the distance from Earth increases. The force is inversely proportional to the square of the distance from the Earth. So, the correct answer would be:

  **(c) Decreases with increasing distance from the Earth.**

Would you like to explore these answers in more detail or discuss further?

Here are 5 related questions for further exploration:
1. How does centripetal force relate to the experience on a Ferris wheel?
2. What happens to the net force when you're at the top versus the bottom of a Ferris wheel?
3. How do we calculate gravitational force using Newton's law of gravitation?
4. What factors affect the speed of a satellite orbiting the Earth?
5. Why do satellites in low Earth orbit travel faster than those further away?

**Tip:** Always remember that normal force acts perpendicular to a surface, and it is one of the key forces when analyzing circular motion problems!

You are riding a Ferris wheel rotating with constant speed, and the car you are riding always maintains a correct upward orientation (i.e., you do not invert). What is the direction of the normal force on you from the seat when you are at the top of the wheel and when you are at the bottom of the wheel? Also, what can you say about Earth's gravitational attraction for satellites at different distances?

Explore the normal force on a rider at different positions on a Ferris wheel and the relationship between Earth's gravitational attraction and a satellite's distance. Learn how gravitational force decreases with distance and how circular motion affects normal force on a Ferris wheel.

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