15. A car is navigating a banked turn. As shown below, the road surface is tilted at an angle from the horizontal; the car's path is a portion of a horizontal circle. Overhead View From Behind Car R If the car's speed is v₁, the car can navigate a turn with radius R without requiring friction to keep it from slipping; at this speed the normal force acting on the car has a magnitude is n₁. If the car's speed is smaller than v₁ and it navigates the turn with radius R without slipping, the friction force acting on the car. and the normal force (Choose the answer that best fills in both blanks; hint: consider the case in which the new speed is much smaller than v1.) A) has a magnitude of zero ... is smaller than ₁ B) is directed down the slope... is larger than ₁ C) is directed up the slope is larger than 1 **E D) is directed up the slope... is smaller than 1 Exis directed down the slope... is smaller than ₁ Car would tend slide down 50 up the slope

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WHAT HAPPENS TO FRICTION AND NORMAL FORCE IF VELOCITY IS GREATER THAN V1

15. A car is navigating a banked turn. As shown below, the road surface is tilted at an angle θ from the horizontal; the car's path is a portion of a horizontal circle.

**Diagrams Description:**
- **Overhead View:** Shows a car navigating a curved path with velocity \( v \) and radius \( R \).
- **From Behind Car:** Illustrates the car on a banked surface, angled at \( θ \).

If the car's speed is \( v_1 \), the car can navigate a turn with radius \( R \) without requiring friction to keep it from slipping; at this speed, the normal force acting on the car has a magnitude of \( n_1 \). If the car's speed is smaller than \( v_1 \) and it navigates the turn with radius \( R \) without slipping, the friction force acting on the car ___ and the normal force ___.

(Choose the answer that best fills in both blanks; hint: consider the case in which the new speed is much smaller than \( v_1 \).)

A) has a magnitude of zero ... is smaller than \( n_1 \)

B) is directed down the slope ... is larger than \( n_1 \)

C) is directed up the slope ... is larger than \( n_1 \)

D) is directed up the slope ... is smaller than \( n_1 \)

E) is directed down the slope ... is smaller than \( n_1 \)

**Correct Answer:**
D) is directed up the slope ... is smaller than \( n_1 \)

**Explanation:**
- The car would tend to slide down, so the friction force \( f \) is up the slope.
Transcribed Image Text:15. A car is navigating a banked turn. As shown below, the road surface is tilted at an angle θ from the horizontal; the car's path is a portion of a horizontal circle. **Diagrams Description:** - **Overhead View:** Shows a car navigating a curved path with velocity \( v \) and radius \( R \). - **From Behind Car:** Illustrates the car on a banked surface, angled at \( θ \). If the car's speed is \( v_1 \), the car can navigate a turn with radius \( R \) without requiring friction to keep it from slipping; at this speed, the normal force acting on the car has a magnitude of \( n_1 \). If the car's speed is smaller than \( v_1 \) and it navigates the turn with radius \( R \) without slipping, the friction force acting on the car ___ and the normal force ___. (Choose the answer that best fills in both blanks; hint: consider the case in which the new speed is much smaller than \( v_1 \).) A) has a magnitude of zero ... is smaller than \( n_1 \) B) is directed down the slope ... is larger than \( n_1 \) C) is directed up the slope ... is larger than \( n_1 \) D) is directed up the slope ... is smaller than \( n_1 \) E) is directed down the slope ... is smaller than \( n_1 \) **Correct Answer:** D) is directed up the slope ... is smaller than \( n_1 \) **Explanation:** - The car would tend to slide down, so the friction force \( f \) is up the slope.
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