Applying Newton's laws to traveling car

AI Thread Summary
To determine the force acting on a passenger's upper torso during a collision, the scenario involves a 46 kg mass decelerating from 62 km/h to 0 over a distance of 57 cm. Using the constant acceleration formula, the acceleration can be calculated, which is necessary for applying Newton's second law (F = ma) to find the force. The discussion emphasizes that the specifics of the car or bridge are irrelevant; the focus is solely on the mass and its deceleration. The key takeaway is that understanding the relationship between distance, velocity, and mass is crucial for solving the problem. This approach effectively applies Newton's laws to real-world scenarios involving collisions.
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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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