A car, of mass m = 1,264-kg, is driving at a velocity Vo= 52 km/h towards a pedestrian at a distance d = 95 meters. What must be the magnitude of the brake force, assumed as constant, to ensure the car stops before hitting the pedestrian?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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### Problem Description:

A car, of mass \( m = 1,264 \, \text{kg} \), is driving at a velocity \( v_0 = 52 \, \text{km/h} \) towards a pedestrian at a distance \( d = 95 \, \text{meters} \).

### Question:

What must be the magnitude of the brake force, assumed as constant, to ensure the car stops before hitting the pedestrian?

### Explanation of Diagram:

The image shows a car moving towards a pedestrian. There is a horizontal line indicating the distance \( d \) between the car and the pedestrian.

### Contextual Information:

This problem involves concepts from physics, specifically kinematics and dynamics. It requires calculating the required braking force to bring the car to a stop over a given distance. The problem assumes the force is constant, implying the use of equations of motion and Newton's second law.
Transcribed Image Text:### Problem Description: A car, of mass \( m = 1,264 \, \text{kg} \), is driving at a velocity \( v_0 = 52 \, \text{km/h} \) towards a pedestrian at a distance \( d = 95 \, \text{meters} \). ### Question: What must be the magnitude of the brake force, assumed as constant, to ensure the car stops before hitting the pedestrian? ### Explanation of Diagram: The image shows a car moving towards a pedestrian. There is a horizontal line indicating the distance \( d \) between the car and the pedestrian. ### Contextual Information: This problem involves concepts from physics, specifically kinematics and dynamics. It requires calculating the required braking force to bring the car to a stop over a given distance. The problem assumes the force is constant, implying the use of equations of motion and Newton's second law.
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