Can you please solve all 3 questions........ An uncontrolled 800 kg car strikes squarely a motorway crash cushion in which the car isbrought to rest by successively crushing steel barrels. The length of the crash cushion is5.9 m, and the magnitude F of the force required to crush the barrels as a function of thedistance x the car has moved into the cushion is given by90kN120kN150KN(0 ≤ x ≤ 1.9m)(1.9 ≤ x ≤ 4.8m)(4.8 ≤ x ≤ 5.9m)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 140 km/h, determine the distance thecar will move into the cushion before it comes to rest and the maximum deceleration ofthe car.c)Determine the maximum velocity with which the car can strike the cushion so that it willnot hit the wall behind the cushion.

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An uncontrolled 800 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 x the car has moved into the cushion is given by 90kN 120kN 150KN (0 ≤ x ≤ 1.9m) (1.9 4.8m) (4.8 ≤ x ≤ 5.9m) 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 140 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.

An uncontrolled 800 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 x the car has moved into the cushion is given by 90kN 120kN 150KN (0 ≤ x ≤ 1.9m) (1.9 4.8m) (4.8 ≤ x ≤ 5.9m) 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 140 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.

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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Question

Can you please solve all 3 questions........

An uncontrolled 800 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 x the car has moved into the cushion is given by
90kN
120kN
150KN
(0 ≤ x ≤ 1.9m)
(1.9 ≤ x ≤ 4.8m)
(4.8 ≤ x ≤ 5.9m)
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 140 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.

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Step 3: Calculate the distance car will move into the cushion and maximum deceleration

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Step 4: Solve for part c

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