Airplane flight recorders must be able to survive catastrophic crashes. Therefor

Question

Airplane flight recorders must be able to survive catastrophic crashes. Therefore, they are typically encased in crash-resistant boxes that are subjected to rigorous testing. One of the tests is an impact shock test, in which the box must survive being thrown at high speeds against a barrier. A 39 kg box is thrown at a speed of roughly 200 m/s and is brought to a half in a collision that lasts for a time of about 6.0 ms. What is the magnitude of the average net force that acts on the box during the collision? Units

Explanation / Answer

By newtons second law we know that Force is rate of change of momentum Momentum = mv here the change of momentum takes place as a body comes to halt from 200m/s in 6msec The magnitude change in momentum = |Mu- MV| = 39*200- 0 = 7800kgm/sec Rate of change of momentum = Force = 7800/6*10^-3 = 1300000 N = 1.3*10^6N

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