## Math Problem Statement

A 2660 lb racecar is going around a 367 ft radius 10 ∘ banked curve with a constant speed of 60 ft/s. Determine the magnitude of the friction force between the car and the road.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Centripetal Force

Force Balance

Inclined Planes

Friction

### Formulas

Weight = m × g

Centripetal Force F_c = m v^2 / r

Perpendicular force balance: N cos(θ) = mg - f sin(θ)

Parallel force balance: N sin(θ) + f cos(θ) = F_c

### Theorems

Newton's Second Law of Motion

### Suitable Grade Level

College Level Physics

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