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A car (m= 1900 kg) is parked on a road that rises 12° above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the tires?

A car (m= 1900 kg) is parked on a road that rises 12° above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the tires?

College Physics
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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A car (\( m = 1900 \, \text{kg} \)) is parked on a road that rises \( 12^\circ \) above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the tires? *Diagram Description:* The diagram depicts a car parked on an inclined plane. The incline forms an angle \(\theta = 12^\circ\) with the horizontal. Two vectors are shown acting on the car: 1. **Frictional Force (\(f\)):** Depicted by a blue arrow pointing up the incline, parallel to the surface. It represents the static friction that prevents the car from sliding down. 2. **Normal Force (\(F_N\)):** Depicted by a blue arrow perpendicular to the surface of the incline, pointing upward. It represents the force exerted by the ground on the car, perpendicular to the inclined surface.
Transcribed Image Text:A car (\( m = 1900 \, \text{kg} \)) is parked on a road that rises \( 12^\circ \) above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the tires? *Diagram Description:* The diagram depicts a car parked on an inclined plane. The incline forms an angle \(\theta = 12^\circ\) with the horizontal. Two vectors are shown acting on the car: 1. **Frictional Force (\(f\)):** Depicted by a blue arrow pointing up the incline, parallel to the surface. It represents the static friction that prevents the car from sliding down. 2. **Normal Force (\(F_N\)):** Depicted by a blue arrow perpendicular to the surface of the incline, pointing upward. It represents the force exerted by the ground on the car, perpendicular to the inclined surface.
Expert Solution
Step 1

Given value---

  • Mass = 1900 kg.
  • Angle = 12 degree

We have to find---

  • Normal force?
  • Static friction force?
steps

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