A car with a mass of 980 k g and a speed of v 1 = 17.0 m / s approaches an inter

Question

A car with a mass of 980 kg and a speed of v1 = 17.0 m/s approaches an intersection, as shown in the figure(Figure 1). A 1230 kg minivan traveling at v2 is heading for the same intersection. The car and minivan collide and stick together. The direction of the wreckage after the collision is ? = 45.0 ? above the x axis.   Find the initial speed of the minivan, assuming external forces can be ignored. Find the final speed of the wreckage.   
A car with a mass of 980 kg and a speed of v1 = 17.0 m/s approaches an intersection, as shown in the figure(Figure 1). A 1230 kg minivan traveling at v2 is heading for the same intersection. The car and minivan collide and stick together. The direction of the wreckage after the collision is ? = 45.0 ? above the x axis.   Find the initial speed of the minivan, assuming external forces can be ignored. Find the final speed of the wreckage.   

Explanation / Answer

a)

By Conservation of momentum in X-direction

m1V1x+m2V2x =(m1+m2)Vx

980*17 +1230*(0) =(980+1230)*(VCos45)

V=10.66 m/s

By Conservation of momentum in Y-direction

m1V1y+m2V2y =(m1+m2)Vy

980*0 + 1230*V2 =(980+1230)(10.66Sin45)

V2=13.54 m/s

b)

V=10.66 m/s

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