**Physics Problems: Impact and Deceleration** **12. Air Bag Impact Question** An air bag is designed to inflate very quickly and subsequently compress if a driver hits it. A collision uniformly stops a car from 30.0 mph to 0.0 and triggers the air bag. The driver is not seat-belted and so hits the inflated air bag. This acts as a local crumple zone and consequently compresses by 0.20 m as his head is brought to rest. According to the Gadd severity index, does the driver suffer serious injury? Assume the constant deceleration of the driver’s head after hitting the air bag. **(Ans GSI = 420; no, the driver should not suffer serious injury or death.)** **13. Football Player Collision Question** Two 100 kg football players wearing regulation helmets collide helmet to helmet while each is moving directly at each other at 10.0 m/s and come to a near instantaneous stop. The area of contact is 0.01 m², and the helmets are each designed to provide a crumple zone of 0.025 m. What is the maximum stress exerted on each player? **(Ans: 4.0 × 10⁷ N/m²)**

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Bioengineering Q11

**Physics Problems: Impact and Deceleration**

**12. Air Bag Impact Question**

An air bag is designed to inflate very quickly and subsequently compress if a driver hits it. A collision uniformly stops a car from 30.0 mph to 0.0 and triggers the air bag. The driver is not seat-belted and so hits the inflated air bag. This acts as a local crumple zone and consequently compresses by 0.20 m as his head is brought to rest. According to the Gadd severity index, does the driver suffer serious injury? Assume the constant deceleration of the driver’s head after hitting the air bag. **(Ans GSI = 420; no, the driver should not suffer serious injury or death.)**

**13. Football Player Collision Question**

Two 100 kg football players wearing regulation helmets collide helmet to helmet while each is moving directly at each other at 10.0 m/s and come to a near instantaneous stop. The area of contact is 0.01 m², and the helmets are each designed to provide a crumple zone of 0.025 m. What is the maximum stress exerted on each player? **(Ans: 4.0 × 10⁷ N/m²)**
Transcribed Image Text:**Physics Problems: Impact and Deceleration** **12. Air Bag Impact Question** An air bag is designed to inflate very quickly and subsequently compress if a driver hits it. A collision uniformly stops a car from 30.0 mph to 0.0 and triggers the air bag. The driver is not seat-belted and so hits the inflated air bag. This acts as a local crumple zone and consequently compresses by 0.20 m as his head is brought to rest. According to the Gadd severity index, does the driver suffer serious injury? Assume the constant deceleration of the driver’s head after hitting the air bag. **(Ans GSI = 420; no, the driver should not suffer serious injury or death.)** **13. Football Player Collision Question** Two 100 kg football players wearing regulation helmets collide helmet to helmet while each is moving directly at each other at 10.0 m/s and come to a near instantaneous stop. The area of contact is 0.01 m², and the helmets are each designed to provide a crumple zone of 0.025 m. What is the maximum stress exerted on each player? **(Ans: 4.0 × 10⁷ N/m²)**
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