Dynamics (work-energy principle)

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The discussion focuses on a physics problem involving a 1420kg car colliding with a concrete barrier at 5.0 km/h and analyzing two bumper models. The first model is a linear spring with a constant k of 9*10^4 N/m, and the task is to calculate the spring compression needed to stop the car. Participants clarify that the goal is to determine the maximum compression distance of the spring during the collision. The conversation emphasizes understanding the work-energy principle in this context. The thread aims to assist in solving the problem effectively.
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Homework Statement


Car bumpers are designed to limit the extent of damage to the car in the case of low-velocity collisions. Consider a 1420kg passenger car impacting a concrete barrier while traveling at a speed of 5.0km/h. Model the car as a particle and consider two bumper models: 1) a simple linear spring with constant k and 2) a linear spring of constant k in parallel with a shock absorbing unit generating a nearly constant force F(s)=2000N over 10cm.

a) if the bumper is of type 1 and if k=9*10^4N/m, find the spring compression(distance) necessary to stop the car.

please help me with this.
 
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welcome to pf!

hi hudsbri22! welcome to pf! :wink:
hudsbri22 said:
a) if the bumper is of type 1 and if k=9*10^4N/m, find the spring compression(distance) necessary to stop the car.

what's the difficulty? :confused:

the question is asking for the distance at which the spring will be maximally compressed :smile:
 

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