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

Question

At the intersection of Texas Avenue and University Drive, a yellow, subcompact car with mass 900 kg traveling east on University collides with a maroon pickup truck with mass 1700 kg that is traveling north on Texas and ran a red light (Figure 1). The two vehicles stick together as a result of the collision and. after the collision, the wreckage is sliding at 16.0 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. Calculate the speed of the car before the collision. Part B Calculate the speed of the truck before the collision.

Explanation / Answer

The final momentum of the system is (900 + 1700)(16.0) at 24.0 deg. east of north.
= 41600 at 24.0 deg. east of north

Decompose into easterly
41600 * sin(24)
and northerly
41600 * cos(24)

The car provide all the easterly momentum so
Vc *900 = 41600 * sin(24)
Vc =18.8m/s

The truck provide all the northerly momentum so
Vt * 1700 = 41600 * cos(24)
Vt = 22.35m/s

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