An uncontrolled 1050 kg car strikes squarely a motorway crash cushion in which the car is brought to rest by successively crushing steel barrels. The length of the crash cushion is 6.1 m, and the magnitude F of the force required to crush the barrels as a function of the distance x the car has moved into the cushion is given by 80kN (0 < x < 1.7m) (1.7 < x < 4.7m) (4.7 < x < 6.1m) 110kN 155kN a) Determine an expression for the work done by the force F as a function of x.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

can you help me with part a  please

Question 3
An uncontrolled 1050 kg car strikes squarely a motorway crash cushion in which the car is brought to rest by
successively crushing steel barrels. The length of the crash cushion is 6.1 m, and the magnitude F of the force
required to crush the barrels as a function of the distance x the car has moved into the cushion is given by
80kN
(0 <x < 1.7m)
110KN
(1.7 < x < 4.7m)
155kN
(4.7 < x< 6.1m)
a)
Determine an expression for the work done by the force F as a function of x.
b)
If the car strikes the crash cushion with a velocity of 119 km/h, determine the distance the car will move into
the cushion before it comes to rest and the maximum deceleration of the car.
c)
Determine the maximum velocity with which the car can strike the cushion so that it will not hit the wall
behind the cushion.
Transcribed Image Text:Question 3 An uncontrolled 1050 kg car strikes squarely a motorway crash cushion in which the car is brought to rest by successively crushing steel barrels. The length of the crash cushion is 6.1 m, and the magnitude F of the force required to crush the barrels as a function of the distance x the car has moved into the cushion is given by 80kN (0 <x < 1.7m) 110KN (1.7 < x < 4.7m) 155kN (4.7 < x< 6.1m) a) Determine an expression for the work done by the force F as a function of x. b) If the car strikes the crash cushion with a velocity of 119 km/h, determine the distance the car will move into the cushion before it comes to rest and the maximum deceleration of the car. c) Determine the maximum velocity with which the car can strike the cushion so that it will not hit the wall behind the cushion.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Mechanical Drawings
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY