Physics Quiz
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MOTION AND STABILITY
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A 70 kg passenger in a car experiences a frontal collision and is brought from v=20 m/sv=20\ \text{m/s} to rest by an airbag. To minimize injury, the average force on the passenger must be kept below Fmax⁡=3500 NF_{\max}=3500\ \text{N}. The airbag system can be tuned by changing the effective collision time Δt\Delta t, but packaging limits require Δt≤0.60 s\Delta t \le 0.60\ \text{s}. What is the minimum collision time Δtmin⁡\Delta t_{\min} required to keep the average force below the limit, and is it feasible within the packaging constraint? (Use Favg=Δp/ΔtF_{\text{avg}}=\Delta p/\Delta t.)
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