Two cars of equal mass are traveling as shown in the figure below just before un

Question

Two cars of equal mass are traveling as shown in the figure below just before undergoing a collision. Before the collision, one of the cars has a speed of 12 m/s along +x, and the other has a speed of 35 m/s along +y. The cars lock bumpers and then slide away together after the collision. What are the magnitude and direction of their final velocity? magnitude m/s direction

Explanation / Answer

applying momentum conservation in horizontal direction: m*12 =2mV_h => V_h = 6m/s applying momentum conservation in horizontal direction: m*35=2mV_v => V_v = 17.5 m/s final velocity magnitude =18.5 m/s direction =71.07 degrees

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