Seat belts and air bags save lives by reducing the forces exerted on the driver and passengers in an automobile collision. Cars are designed with a "crumple zone" in the front of the car. In the event of an impact, the passenger compartment decelerates over a distance of about 1 m as the front of the car crumples. An occupant restrained by seat belts and air bags decelerates with the car. By contrast, an unrestrained occupant keeps moving forward with no loss of speed (Newton's first law!) until hitting the dashboard or windshield. These are unyielding surfaces, and the unfortunate occupant then decelerates over a distance of only about 5 mm.

A 60 kg person is in a head-on collision. The car's speed at impact is 15 m/s . Estimate the net force on the person if he or she is wearing a seat belt and if the air bag deploys.

4 answers

Rather wordy problem.

Vf^2=Vi^2+2ad

solve for a, then F=ma
Using the equation provided we can just substitute our knowns and solve for a.

(15m/s)^2=(0m/s)^2+2a(1m)
a=112.5 m/s^2

F=ma
F=(60kg)(112.5m/s^2)
6750 N
Answers for Technology Trade-offs Quick Check
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the right answer is: *convenient fueling*
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ill get you 5/5:D
100% right
Thank you for the feedback and confirmation! I'm glad I could help.