Two automobiles of equal mass approach an intersection. One vehicle is traveling
ID: 2025487 • Letter: T
Question
Two automobiles of equal mass approach an intersection. One vehicle is traveling with velocity 12.5 m/s toward the east and the other is traveling north with speed v2i. Neither driver sees the other. The vehicles collide in the intersection and stick together, leaving parallel skid marks at an angle of 61.5degree north of east. Determine the initial speed v2i of the northward-moving vehicle. Your response differs from the correct answer by more than 10%. Double check your calculations. m/s The speed limit for both road is 35 mi/h and the driver of the northward-moving vehicle claims he was within the speed limit when the collision occurred. Is he telimg the truth?Explanation / Answer
Momentum conservation in x-axis direction(east)
m(12.5=2mv{cos(61.5)}
That implies v=13.09m/s
Momentum conservation in y-axis direction (north)
m(v2i))=2mv{sin(61.5)}
That implies
v2i=2(13.09)sin(61.5)=23.0074 m/s
hope its clear.