A1460kg car traveling east with a speed of26.5m/s collides at an intersection wi

Question

A1460kg car traveling east with a speed of26.5m/s collides at an intersection with a2405kg van traveling north at a speed of24.0m/s as shown in the figure. Find the direction and magnitude of the velocity of the wreckage after the collision, assuming the vehicles stick together after the collision.

The eastbound car is driven by an off-duty police officer, who knows her speed was exactly30.0m/s. From studying the angle?(and the mass of the two vehicles), she concluded that the van was over the speed limit of95km/h driving on that secondary road. Of course, the van also failed to stop before entering the main road. If the van were not speeding, what should be the maximum angle for?(in degrees) in this accident?

Explanation / Answer

in perfectly inelastic collision ,linear momentum remains constant
hence,

m1v1 i+m2v2 j = (m1+m2)V3 (since they are sticking together after the collision)

V3= m1v1 i+m2v2 j/(m1+m2) = (1460* 26.5) i+(2405*24) j / 50.5

                                         =766.14 i +1142.97 j

direction = 33.834o with the +ve x direction

magnitude= 1375.99 m/sec

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