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1. A traffic barrier is placed in front of a bridge pier in case a car was to slam into it. The force of the barrier on a vehicle is given as F (lbs) = Ax where A has units of lbs/ft and x has units of ft. Determine the minimum value of A if the barrier is to stop a truck with weight 8000 lbs moving at speed 40 mph within 6 ft.

1. A traffic barrier is placed in front of a bridge pier in case a car was to slam into it. The force of the barrier on a vehicle is given as F (lbs) = Ax where A has units of lbs/ft and x has units of ft. Determine the minimum value of A if the barrier is to stop a truck with weight 8000 lbs moving at speed 40 mph within 6 ft.

Elements Of Electromagnetics
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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1. A traffic barrier is placed in front of a bridge pier in case a car was to slam into it. The force of the barrier on a vehicle is given as F (lbs) Determine the minimum value of A if the barrier is to stop a truck with weight 8000 lbs moving at speed 40 mph within 6 ft. = Ax where A has units of lbs/ft and x has units of ft.
Transcribed Image Text:1. A traffic barrier is placed in front of a bridge pier in case a car was to slam into it. The force of the barrier on a vehicle is given as F (lbs) Determine the minimum value of A if the barrier is to stop a truck with weight 8000 lbs moving at speed 40 mph within 6 ft. = Ax where A has units of lbs/ft and x has units of ft.
Expert Solution
Step 1

Given data:

weight of truck (W) = 8000 lbs

Initial speed of truck (V) = 40 mph 

                                       = (40*1.467) ft/s

                                       = 58.67 ft/s

distance (d) = 6 ft

Force exerted by barrier (F) = Ax

where unit of A = lbs/ft

and unit of x = ft

 

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