**Problem Statement:**(a) A car is traveling over a circular hill with a speed \(v\). Its weight, \(mg\), and normal force \(N\) are shown in the figure below. What is the centripetal force \(F_{r,\text{net}}\) in this case? Express the answer in terms of \(N\), \(mg\), and \(v\).**Diagram Description:**- The diagram features a car moving over a circular hill. - The car is represented as a small box on top of the hill. - An arrow labeled \(v\) points horizontally, indicating the direction of the car's speed.- A vertical upward arrow labeled \(N\) represents the normal force.- A vertical downward arrow from the car labeled \(mg\) indicates the gravitational force on the car (weight).**Choices:**A. \(F_{r,\text{net}} = N - mg\)B. \(F_{r,\text{net}} = mg - N\)C. \(F_{r,\text{net}} = mg\)D. \(F_{r,\text{net}} = N\)(Option A is incorrectly selected with an "x" mark indicating the wrong choice)(b) Under what conditions will the car be able to go over the hill?A. \(mg = N\) (This is incorrectly selected with an "x" mark indicating the wrong choice)**Feedback:** No, that's not the correct answer. **Physics Problem: Understanding Forces on a Hill****Question:**(a) Determine the net radial force acting on an object. Please choose the correct equation from the options below:**Choices:**A. \( F_{r,\text{net}} = N - mg \)B. \( F_{r,\text{net}} = mg - N \)C. \( F_{r,\text{net}} = mg \)D. \( F_{r,\text{net}} = N \)*Selected Answer: A (incorrect response indicated by a red cross)*---(b) Under what conditions will the car be able to go over the hill?*Choices:*- **A.** \( mg = N \)- **B.** \( mg < N \)- **C.** \( mg > N \)*Correct Answer: A (indicated by a check mark, with red cross indicating incorrect selection)**Feedback: Your selection was incorrect; please try again.*

The speed of the car is The weight of the car is The normal force is The centripetal force is The…

(a) A car is traveling over a circular hill with a speed v. Its weight, mg, and normal force N are shown in this case? Express the answer in terms of N, in the figure below. What is the centripetal force F r, net mg, and v. N mg

(a) A car is traveling over a circular hill with a speed v. Its weight, mg, and normal force N are shown in this case? Express the answer in terms of N, in the figure below. What is the centripetal force F r, net mg, and v. N mg

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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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

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**Problem Statement:**

(a) A car is traveling over a circular hill with a speed \(v\). Its weight, \(mg\), and normal force \(N\) are shown in the figure below. What is the centripetal force \(F_{r,\text{net}}\) in this case? Express the answer in terms of \(N\), \(mg\), and \(v\).

**Diagram Description:**

- The diagram features a car moving over a circular hill.
- The car is represented as a small box on top of the hill.
- An arrow labeled \(v\) points horizontally, indicating the direction of the car's speed.
- A vertical upward arrow labeled \(N\) represents the normal force.
- A vertical downward arrow from the car labeled \(mg\) indicates the gravitational force on the car (weight).

**Choices:**

A. \(F_{r,\text{net}} = N - mg\)

B. \(F_{r,\text{net}} = mg - N\)

C. \(F_{r,\text{net}} = mg\)

D. \(F_{r,\text{net}} = N\)

(Option A is incorrectly selected with an "x" mark indicating the wrong choice)

(b) Under what conditions will the car be able to go over the hill?

A. \(mg = N\) (This is incorrectly selected with an "x" mark indicating the wrong choice)

**Feedback:**

No, that's not the correct answer.

**Physics Problem: Understanding Forces on a Hill**

**Question:**

(a) Determine the net radial force acting on an object. Please choose the correct equation from the options below:

**Choices:**

A. \( F_{r,\text{net}} = N - mg \)

B. \( F_{r,\text{net}} = mg - N \)

C. \( F_{r,\text{net}} = mg \)

D. \( F_{r,\text{net}} = N \)

*Selected Answer: A (incorrect response indicated by a red cross)*

---

(b) Under what conditions will the car be able to go over the hill?

*Choices:*

- **A.** \( mg = N \)
- **B.** \( mg < N \)
- **C.** \( mg > N \)

*Correct Answer: A (indicated by a check mark, with red cross indicating incorrect selection)*

*Feedback: Your selection was incorrect; please try again.*

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