Written homework to be turned in at the beginning of the first studio in week 8.
ID: 2058466 • Letter: W
Question
Written homework to be turned in at the beginning of the first studio in week 8.An automobile test facility studies head-on crashes between cars of different sizes. Consider a crash between a 800 kg truck traveling 25 m/s east and a 500 kg sports car car traveling 60 m/s west. The cars do not recoil, but move as one mass after the collision.
Figure out the final velocity (speed and direction) of the two cars, and the change in momentum of each. High-speed videos of the collision establish that the cars were moving as one body after only 0.8 seconds. From that figure out the average force exerted on the sports car. Is it bigger or smaller than the average force on the truck?
Explanation / Answer
Applying law of conservation of momentum : 800*25 - 500*60 = (1300)*v v = -7.69 m/s Direction = towards west. Change in momentum : car 1 = 800(7.69+25) = 26.15 kNs car 2 = 500(60-7.69) = 26.15 kNs Average force = 26.15/0.8 kN = 32.69 kN same as force on the truck.
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