(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

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Chapter1: Units, Trigonometry. And Vectors
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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.
Transcribed Image Text:**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.*
Transcribed Image Text:**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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