(2)A 1150 kg car is traveling north at 16 m/s. It approaches an intersection, wh

Question

(2)A 1150 kg car is traveling north at 16 m/s. It approaches an intersection, where a second 1950 kg truck is traveling east with a velocity of 13 m/s. All occupants of the vehicles are wearing seat belts and luckily there were no injuries, but they collide in the intersection. The car and truck stick together in the collision and move away from the collision point as a single object. Find the angle that the velocity of the combined system makes with the initial directions of the vehicles. (Do not enter units for this answer.)    

_____     

Explanation / Answer

using momentum conservation,

1150 x 16j + 1950 x 13i = (1150 + 1950)v

v = 8.18i + 5.94j

angle = tan-1(5.94 / 8.18) = 35.99 degrees

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