### Uniform Circular Motion in a Car: Understanding ForcesYou are driving in a car and sitting on a scale. You are traveling 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 reads 660 Newtons.#### Diagram ExplanationThe diagram illustrates a car at the bottom of a circular dip with a radius of 100 meters. The car and its occupants are experiencing forces due to circular motion, which affect the scale reading.#### QuestionWhen you are at the very bottom of the dip (still traveling at 20 m/s), what does the scale you are sitting on read?#### Tips for Solving the Problem- Draw a free-body diagram for yourself when the car is at the bottom of the circular dip.- Consider the forces involved during this motion. What should the sum of these forces be to match the special conditions caused by circular motion?- This approach will help you determine the scale reading at that point.### Key ConceptIn uniform circular motion, remember that centripetal force plays a crucial role, and it modifies the normal force, which in turn affects the scale reading.

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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 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.

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 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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

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Question

### Uniform Circular Motion in a Car: Understanding Forces

You are driving in a car and sitting on a scale. You are traveling 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 reads 660 Newtons.

#### Diagram Explanation
The diagram illustrates a car at the bottom of a circular dip with a radius of 100 meters. The car and its occupants are experiencing forces due to circular motion, which affect the scale reading.

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

#### Tips for Solving the Problem
- Draw a free-body diagram for yourself when the car is at the bottom of the circular dip.
- Consider the forces involved during this motion. What should the sum of these forces be to match the special conditions caused by circular motion?
- This approach will help you determine the scale reading at that point.

### Key Concept
In uniform circular motion, remember that centripetal force plays a crucial role, and it modifies the normal force, which in turn affects the scale reading.

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