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At the intersection of Texas Avenue and University Drive, a yellow, subcompact c

ID: 3893252 • Letter: A

Question

At the intersection of Texas Avenue and University Drive, a yellow, subcompact car with mass 800kgtraveling east on University collides with a maroon pickup truck with mass 1850kg that is traveling north on Texas and ran a red light. The two vehicles stick together as a result of the collision and, after the collision, the wreckage is sliding at16.0 m/s in the direction 24.0? east of north. The collision occurs during a heavy rainstorm; you can ignore friction forces between the vehicles and the wet road.



A.Calculate the speed of the car before the collision.




B.Calculate the speed of the truck before the collision.

Explanation / Answer

final momentum in the east direction = initial momeentum in the east direction

momentum = mv

(800 + 1850) * 16 * sin 24 = 800 * speed of car

speed of car = 21.55 m/s


final momentum in the north direction = initial momeentum in the north direction

momentum = mv

(800 + 1850) * 16 * cos 24 = 1850 * speed of truck

speed of truck = 20.937 m/s