automobile airbags

2013-05-25 2:44 am
The human body can survive an acceleration trauma
incident (sudden stop) if the magnitude of the acceleration
is less than 250 m/s. If you are in an auto-mobile accident
with an initial speed of 105 km/h (65 mi/h) and you are stopped
by an airbag that inflates from the dashboard, over what distance
must the airbag stop you for you to survive the crash?

ans: 1.70m

回答 (1)

2013-05-25 3:13 am
✔ 最佳答案
105 km/h = 29.17 m/s

Let m be the mass of the driver (or passenger), and F be the force acting on the driver (or passenger) during sudden stop.
Then, F = 250m

Using: work-done = change of kinetic energy
F.s = (1/2)m(29.17)^2
where s is the distance of the driver (or passesnger) stopped by the airbag

(250m).s = (1/2)m(29.17)^2
250s = (1/2).(29.17)^2
s = 1.7 m


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