Dynamics (work-energy principle)

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SUMMARY

The discussion focuses on calculating the spring compression required to stop a 1420kg passenger car traveling at 5.0 km/h upon impact with a concrete barrier, using a linear spring model with a spring constant k of 9 x 104 N/m. The problem involves applying the work-energy principle to determine the necessary distance for maximum spring compression. The participants clarify the question's intent, emphasizing the need to find the compression distance for the spring to effectively halt the vehicle.

PREREQUISITES
  • Understanding of the work-energy principle in physics
  • Knowledge of linear spring mechanics and Hooke's Law
  • Familiarity with basic kinematics and dynamics
  • Ability to perform calculations involving force, mass, and acceleration
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  • Study the application of Hooke's Law in real-world scenarios
  • Learn about energy conservation in collision dynamics
  • Explore advanced spring-damper systems and their applications
  • Investigate the effects of varying spring constants on collision outcomes
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Physics students, automotive engineers, and anyone interested in understanding collision dynamics and energy absorption systems in vehicles.

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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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