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Question 69: A student proposes a design for an automobile crash barrier in which a 1700-kg sport utility vehicle moving at 20.0 m/s crashes into a spring of negligible mass that slows it to stop. To avoid injuring the passengers, the acceleration of the vehicle as it slows can be no more than 5.00g.

a) Find the required spring constant k, and find the distance the spring will compress in slowing the vehicle to stop. In your calculation disregard and deformation or crumpling of the vehicle and the friction between the vehicle and the ground.

b) What disadvantages are there to this design?

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This Solution contains calculations to aid you in understanding the Solution to this question.

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Given:

m = 1700 kg
vo = 20.0m/s
vf = 0 m/s
a = -5.00 g (it's negative because the vehicle is being slowed to stop)
= - 5.00 × 9.8 m/s2
= - ...

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