Two-Dimensional Perfectly Inelastic Collisions

AI Thread Summary
In a two-dimensional perfectly inelastic collision, the final velocity of the wreck can be determined using conservation of momentum in both the x and y directions. The initial momenta of the truck and van must be calculated by resolving their velocities into components based on the angles of their respective roads. The total momentum before the collision is equal to the total momentum after the collision, allowing for the calculation of the final velocity vector. The lack of provided equations has led to confusion, but understanding the component resolution is crucial for solving the problem. The final velocity can then be derived from the combined momentum of both vehicles at the point of impact.
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A 25000 kg truck moving at 40 m/s on a road angled at 17° hits a 10000 kg van moving at 25 m/s on a road angled at 60° at an intersection between two the two roads. Since this is a two-dimensional perfectly inelastic collision, what is the final velocity of the wreck?


Not sure about which equation to use



Attempt at solution: Instantly stuck. Our professor did not give us the equation for two-dimensional perfectly inelastic collision.
 
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