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 x 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 x the car has moved into the cushion is given by
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can you please help me with part b
Transcribed Image Text:Question 3
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 x the car has moved into the cushion is given by
(0 < x < 1.7m)
(1.7 < x < 4.4m)
(4.4 < x < 5.9m)
85kN
130kN
170kN
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 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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