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Crash Barrier. A student proposes a design for an

Chapter 3, Problem 83P

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QUESTION:

Crash Barrier?. 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 a stop. So that the passengers are not injured, the acceleration of the vehicle as it slows can be no greater than 5.00?g?. (a) Find the required spring constant ?k?, and find the distance the spring will compress in slowing the vehicle to a stop. In your calculation, disregard any 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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QUESTION:

Crash Barrier?. 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 a stop. So that the passengers are not injured, the acceleration of the vehicle as it slows can be no greater than 5.00?g?. (a) Find the required spring constant ?k?, and find the distance the spring will compress in slowing the vehicle to a stop. In your calculation, disregard any deformation or crumpling of the vehicle and the friction between the vehicle and the ground. (b) What disadvantages are there to this design?

ANSWER:

Solution 83P Step 1: Mass of vehicle m = 1700 kg. Speed of vehicle v = 20 m/s. Acceleration of the vehicle is a = 5.0 g.

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