Learning Goal: To set up and evaluate the equations of motion in a normal-tangential coordinate system. A car of weight 3850 lb is traveling around a curve of constant curvature p.(Figure 1) Figure + P < 1 of 1 Part A Finding the net friction force The car is traveling at a speed of 75.5 ft/s, which is increasing at a rate of 4.15 ft/s², and the curvature of the road is p = 610 ft. What is the magnitude of the net frictional force that the road exerts on the tires? Express your answer to three significant figures and include the appropriate units. View Available Hint(s) F = Submit Omax= Part B - Finding the maximum allowable acceleration Submit maximum friction force of 3360 lb. If the car is at Suppose that the tires are pable of exerti 77.5 ft/s and the curvature of the road is p = 410 ft, what is the maximum tangential acceleration that the car can have without sliding? Express your answer to three significant figures and include the appropriate units. View Available Hint(s) μA Value Pmin= Submit μA Value Part C - Finding the minimum curvature of the road Units Provide Feedback Suppose that the tires are capable of exerting a maximum net friction force of 812 lb. If the car is traveling at 50.5 ft/s, what is the minimum curvature of the road that will allow the car to accelerate at 3.75 ft/s² without sliding? Express your answer to three significant figures and include the appropriate units. ► View Available Hint(s) ■ μА Value Units ? Units ? Next >

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**Learning Goal:**  
To set up and evaluate the equations of motion in a normal-tangential coordinate system.  
A car of weight 3850 lb is traveling around a curve of constant curvature \(\rho\). (Figure 1)

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### Part A - Finding the net friction force

The car is traveling at a speed of 75.5 ft/s, which is increasing at a rate of 4.15 ft/s\(^2\), and the curvature of the road is \(\rho = 610 \, \text{ft}\). What is the magnitude of the net frictional force that the road exerts on the tires?

- *Express your answer to three significant figures and include the appropriate units.*

\[ F = \text{Value} \, \text{Units} \]

[Submit Button]

---

### Part B - Finding the maximum allowable acceleration

Suppose that the tires are capable of exerting a maximum friction force of 3360 lb. If the car is traveling at 77.5 ft/s and the curvature of the road is \(\rho = 410 \, \text{ft}\), what is the maximum tangential acceleration that the car can have without sliding?

- *Express your answer to three significant figures and include the appropriate units.*

\[ a_{\text{max}} = \text{Value} \, \text{Units} \]

[Submit Button]

---

### Part C - Finding the minimum curvature of the road

Suppose that the tires are capable of exerting a maximum net friction force of 812 lb. If the car is traveling at 50.5 ft/s, what is the minimum curvature of the road that will allow the car to accelerate at 3.75 ft/s\(^2\) without sliding?

- *Express your answer to three significant figures and include the appropriate units.*

\[ \rho_{\text{min}} = \text{Value} \, \text{Units} \]

[Submit Button]

---

**Figure Explanation:**

The figure shows a portion of a circular track with a constant curvature \(\rho\). It represents the path taken by the car as it navigates around the curve.

---

[Provide Feedback | Next]
Transcribed Image Text:**Learning Goal:** To set up and evaluate the equations of motion in a normal-tangential coordinate system. A car of weight 3850 lb is traveling around a curve of constant curvature \(\rho\). (Figure 1) --- ### Part A - Finding the net friction force The car is traveling at a speed of 75.5 ft/s, which is increasing at a rate of 4.15 ft/s\(^2\), and the curvature of the road is \(\rho = 610 \, \text{ft}\). What is the magnitude of the net frictional force that the road exerts on the tires? - *Express your answer to three significant figures and include the appropriate units.* \[ F = \text{Value} \, \text{Units} \] [Submit Button] --- ### Part B - Finding the maximum allowable acceleration Suppose that the tires are capable of exerting a maximum friction force of 3360 lb. If the car is traveling at 77.5 ft/s and the curvature of the road is \(\rho = 410 \, \text{ft}\), what is the maximum tangential acceleration that the car can have without sliding? - *Express your answer to three significant figures and include the appropriate units.* \[ a_{\text{max}} = \text{Value} \, \text{Units} \] [Submit Button] --- ### Part C - Finding the minimum curvature of the road Suppose that the tires are capable of exerting a maximum net friction force of 812 lb. If the car is traveling at 50.5 ft/s, what is the minimum curvature of the road that will allow the car to accelerate at 3.75 ft/s\(^2\) without sliding? - *Express your answer to three significant figures and include the appropriate units.* \[ \rho_{\text{min}} = \text{Value} \, \text{Units} \] [Submit Button] --- **Figure Explanation:** The figure shows a portion of a circular track with a constant curvature \(\rho\). It represents the path taken by the car as it navigates around the curve. --- [Provide Feedback | Next]
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