In the \"before\" part of the figure, car A (mass 1300 kg) is stopped at a traff

Question

In the "before" part of the figure, car A (mass 1300 kg) is stopped at a traffic light when it is rear-ended by car B (mass 1400 kg). Both cars then slide with locked wheels until the frictional force from the slick road (with a low ?k of 0.10) stops them, at distances dA = 8.0 m and dB = 4.5 m. What are the speeds of (a) car A and (b) car B at the start of the sliding, just after the collision? (c) Assuming that linear momentum is conserved during the collision, find the speed of car B just before the collision.

Explanation / Answer

Don't have the figure sweetie. p1=m1v1= 20*950=19000kgm/s p2=1300*V2 Assume first car is headed east down positive x axis. 1300V2/19000 = tan36=0.727 => 1300*V2=19000*0.727 => V2=10.6m/s p2=1300*10.6=13804kgm/s Final mass = 950+1300=2250kg Momentum before wreck = 19,000 at 0 degrees, 13804 at 90 degrees Magnitude is sqrt[19000^2+13804^2] =23,485.3kgm/s at Arctan(13804/19000) = 36 degrees 2250*Vfinal = 23,485.3 => Vfinal = 23,485.3/2,250 = 10.4m/s

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