Car Crash Physics Involving Skid Marks

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SUMMARY

The discussion centers on calculating the initial velocity of vehicle one involved in a T-bone collision at an intersection. Vehicle one has a mass of 1858 kg and vehicle two has a mass of 2865 kg. The vehicles left skid marks totaling 40.0 m, with 15.334 m on wet asphalt (friction coefficient 0.8) and 24.6666 m on dirt (friction coefficient 0.5). The problem requires the application of kinematics and dynamics principles, specifically using equations such as Vf = Vi + 2ad and fk = µkFN to derive the initial velocity before the crash.

PREREQUISITES
  • Understanding of kinematics and dynamics principles
  • Familiarity with free body diagrams
  • Knowledge of friction coefficients and their application
  • Ability to apply equations of motion in collision scenarios
NEXT STEPS
  • Study the application of conservation of momentum in collisions
  • Learn how to calculate stopping distances using friction coefficients
  • Explore advanced kinematics problems involving multiple surfaces
  • Review dynamics equations relevant to vehicle collisions
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This discussion is beneficial for physics students, automotive engineers, and accident reconstruction specialists who are analyzing vehicle dynamics and collision scenarios.

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Homework Statement



Two vehicles crash at an intersection
Mass of vehicle one: 1858kg
Mass of vehicle two: 2865Kg

Vehicle one was headed North
Vehicle two was headed East

The two vehicles stuck together in a t-bone fashion and the two vehicles left the intersection stuck together, moving at an angle of [N67E].

The vehicles left 40.0m skid marks behind.

15.334m of skid marks were on wet asphalt with a friction coefficient of 0.8.

24.6666m of skid marks were on dirt with a friction coefficient of 0.5.

Determine the initial velocity (before the crash) of vehicle one.

I am instructed to use kinematics and dynamics to solve this problem.

Homework Equations



Vf = Vi + 2ad

Fg = mg = weight = normal force

fk = µkFN

The Attempt at a Solution



I created a free body diagram but do not know how to approach the problem, any help is appreciated.
I have also searched this website for similar answers but non applied to my problem
 
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