Two cars, both of mass m , collide and stick together. Prior to the collision, o
ID: 1261358 • Letter: T
Question
Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was traveling at speed v at an angle ? south of east (as indicated in the figure). After the collision, the two-car system travels at speed vfinal at an angle ? east of north.
Find the speed vfinal of the joined cars after the collision.
Express your answer in terms of v and ?.
Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was traveling at speed v at an angle ? south of east (as indicated in the figure). After the collision, the two-car system travels at speed vfinal at an angle ? east of north. Find the speed vfinal of the joined cars after the collision. Express your answer in terms of v and ?.Explanation / Answer
please ask if you have any doubt.
conservation of momentum along both axes will give us the required answer.
Given the final velocity be V after the collision.
Conserving momentum along the East direction : Mvcos? = 2MVsin?
similarly for North direction : 2Mv - Mvsin? = 2MVcos? .
dividing both equations : tan? = cos?/(2 - cos?) which gives
? = tan-1(cos?/(2-sin?))
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