5. You are driving in a car and you are sitting on a scale. You are travelling at constant speed of 20 m/s when you suddenly enter a dip with a radius of curvature of 100 meters. As you drive through this dip you and your car are executing Uniform Circular Motion You know that when you are standing on the scale on flat, non-accelerating ground that it says you are 660 Newtons. 100 m

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Please show all work and calculations with a proper free body diagram
Certainly! Below is the transcribed text with an explanation of the included diagram:

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**Problem 5:**

You are driving in a car and you are sitting on a scale. You are travelling at a constant speed of 20 m/s when you suddenly enter a dip with a radius of curvature of 100 meters. As you drive through this dip, you and your car are executing Uniform Circular Motion.

You know that when you are standing on the scale on flat, non-accelerating ground, it says you are 660 Newtons.

![Diagram](image of a car situated at the bottom of a U-shaped dip, indicating motion along a circular path with a 100 m radius.)

**Question:**
When you are in the very bottom of the dip (still traveling at 20 m/s), what does the scale you are sitting on read?

**Tips:**  
Draw a free body diagram for your body when your car is at the bottom of the circular dip. If you are undergoing that special kind of motion, what should your forces sum to? That should help you find what you are looking for.

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**Diagram Explanation:**

The diagram shows a car at the lowest point of a U-shaped path with a radius of 100 meters. This represents the path of the car as it travels through the dip while undergoing uniform circular motion. The purpose of the diagram is to visually support the question and to help analyze the forces acting on the car at the bottom of the dip.
Transcribed Image Text:Certainly! Below is the transcribed text with an explanation of the included diagram: --- **Problem 5:** You are driving in a car and you are sitting on a scale. You are travelling at a constant speed of 20 m/s when you suddenly enter a dip with a radius of curvature of 100 meters. As you drive through this dip, you and your car are executing Uniform Circular Motion. You know that when you are standing on the scale on flat, non-accelerating ground, it says you are 660 Newtons. ![Diagram](image of a car situated at the bottom of a U-shaped dip, indicating motion along a circular path with a 100 m radius.) **Question:** When you are in the very bottom of the dip (still traveling at 20 m/s), what does the scale you are sitting on read? **Tips:** Draw a free body diagram for your body when your car is at the bottom of the circular dip. If you are undergoing that special kind of motion, what should your forces sum to? That should help you find what you are looking for. --- **Diagram Explanation:** The diagram shows a car at the lowest point of a U-shaped path with a radius of 100 meters. This represents the path of the car as it travels through the dip while undergoing uniform circular motion. The purpose of the diagram is to visually support the question and to help analyze the forces acting on the car at the bottom of the dip.
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