Airplane flight recorders must be able to survive catastrophiccrashes. Therefore

Question

Airplane flight recorders must be able to survive catastrophiccrashes. Therefore, they are typically encased in crash-resistantsteel or titanium boxes that are subjected to rigorous testing. Oneof the tests is an impact shock test, in which the box must survivebeing thrown at high speeds against a barrier. A 41 kg box isthrown at a speed of 190 m/s and is brought to a halt in acollision that lasts for a time of 7.4 ms. What is the magnitude ofthe average net force that acts on the box during the colision?

Explanation / Answer

Hi. The box goes from 190 m/s to zero during an interval of time t =7.4 ms ("millisecond" = 10-3s). So the deceleration (negative acceleration) is (190 - 0)m/s / 7.4x10-3s = 2.6x104 m/s2 Then the magnitude of the average force applied is simply F = ma =(41kg)(2.6x104 m/s2).

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