A 1500 kg car skids to a halt on a wet road where μk=0.50. How fast was the car traveling if it leaves role="math" localid="1648126746388" 65m-long skid marks?

Short Answer

Expert verified

The speed of the car at the moment it skidded is25.69m/s

Step by step solution

01

Content Introduction

Velocity is a mechanical number that indicates the change in distance of an object in unit time in a specified direction. The metric unit is the meter per second. It explains how the thing moves.

02

Content Explanation

Using Newton's second law

Here, Fgis the gravitational force, mis the mass, ais the acceleration.

Substitute the values, where

m=1500kga=10m/s

Fg=maFg=(1500)(10)Fg=15000N

NowFf=μFnFf=(0.5)(1500)Ff=7500N

To find acceleration we use

A=5m/s2

The initial velocity , hereVf=0,d=65m,a=10

Vf=Vi+2ad2ad=Vi=25.69m/s

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