Panic escape. Figure 2-24 shows a general situation in which a stream of people attempt

Chapter 2, Problem 8

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Panic escape. Figure 2-24 shows a general situation in which a stream of people attempt to escape through an exit door that turns out to be locked. The people move toward the door at speed \(v_{s}=3.50 \mathrm{~m} / \mathrm{s}\), are each d = 0.25 m in depth, and are separated by L = 1.75 m. The arrangement in Fig. 2-24 occurs at time t = 0.

(a) At what average rate does the layer of people at the door increase?

(b) At what time does the layer’s depth reach 5.0 m? (The answers reveal how quickly such a situation becomes dangerous.)

                      

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