Car Crash Physics Involving Skid Marks

AI Thread Summary
The discussion focuses on a physics problem involving a collision between two vehicles at an intersection, where one vehicle is 1858 kg and the other is 2865 kg. After the collision, the vehicles moved together at an angle of N67E, leaving behind 40.0 meters of skid marks on different surfaces: 15.334 meters on wet asphalt with a friction coefficient of 0.8 and 24.6666 meters on dirt with a coefficient of 0.5. The goal is to determine the initial velocity of vehicle one using kinematics and dynamics principles. The user has created a free body diagram but is seeking guidance on how to proceed with the calculations. This scenario illustrates the application of physics concepts to real-world situations involving vehicle collisions and skid marks.
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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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