Applying Newton's laws to traveling car

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SUMMARY

The discussion focuses on calculating the force acting on a passenger's upper torso during a car crash scenario where the vehicle travels at 62 km/h and comes to a stop over a distance of 57 cm due to an airbag. The passenger has a mass of 46 kg. By applying Newton's second law (F = m*a) and using the constant acceleration formula, participants conclude that the force can be determined by first calculating the deceleration and then applying it to the mass of the passenger.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the constant acceleration formula
  • Knowledge of basic physics concepts such as force and mass
  • Ability to convert units (e.g., km/h to m/s)
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  • Learn how to convert velocity from km/h to m/s for accurate calculations
  • Study the constant acceleration equations in detail
  • Explore real-world applications of Newton's laws in automotive safety
  • Investigate the role of airbags in reducing impact forces during collisions
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Physics students, automotive engineers, safety analysts, and anyone interested in the dynamics of car crashes and passenger safety mechanisms.

iamkristing
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1. A car traveling at 62 km/h hits a bridge abutment. A passenger in the car moves forward a distance of 57 cm (with respect to the road) while being brought to rest by an inflated air bag. What magnitude of force (assumed constant) acts on the passenger's upper torso, which has a mass of 46 kg?




Homework Equations



F= m*a



The Attempt at a Solution



I know its the force of the car= - the force of the bridge. But I am not exactly sure how to put into that equation the distance the person traveled and the velocity of the car
 
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Forget the car, forget the bridge, hell, even forget the person. All you need to know is that a mass of 46Kg was decelerated from 62 Km/h to 0 over a distance of 57cm.

You can use constant acceleration formulae to determine the acceleration, then from that determine the force with F = ma.
 

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