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An uncontrolled 850 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 5.9 m, and the magnitude F of the force required to crush the barrels as a function of the distance a the car has moved into the cushion is given by

An uncontrolled 850 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 5.9 m, and the magnitude F of the force required to crush the barrels as a function of the distance a the car has moved into the cushion is given by

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
Problem 1.1MA
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I need help on parts a,b and c

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:c) Determine the maximum velocity with which the car can strike the cushion so that it will not hit the wall behind the cushion.
An uncontrolled 850 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 5.9 m, and the magnitude F of the force required to crush the barrels as a function of the distance æ the car has moved into the cushion is given by 85kN (0 <a< 1.7m) 130kN (1.7 <a < 4.4m) 170kN (4.4 <a S 5.9m) a) Determine an expression for the work done by the force F as a function of r. b) If the car strikes the crash cushion with a velocity of 138 km/h, determine the distance the car will move into the cushion before it comes to rest and the maximum deceleration of the car.
Transcribed Image Text:An uncontrolled 850 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 5.9 m, and the magnitude F of the force required to crush the barrels as a function of the distance æ the car has moved into the cushion is given by 85kN (0 <a< 1.7m) 130kN (1.7 <a < 4.4m) 170kN (4.4 <a S 5.9m) a) Determine an expression for the work done by the force F as a function of r. b) If the car strikes the crash cushion with a velocity of 138 km/h, determine the distance the car will move into the cushion before it comes to rest and the maximum deceleration of the car.
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