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A car with inertia 1200kg is driving down a one-way street at ?5 m . An unobserv

ID: 2287884 • Letter: A

Question

A car with inertia 1200kg is driving down a one-way street at ?5 m . An unobservant driver of a 1800kg pickup s truck is driving the wrong way down the street at a speed of +3m, and runs head-on into the car.

(a)[8 pt(s) ? ]What kind of collision is this (totally inelastic, inelastic, or elastic), if the velocity of the pickup is ?1.5m after they collide? You must prove your answer. s

(b)[4 pt(s) ? ]What is the change in internal energy of the system for this collision?

(c)[3 pt(s) ? ]What is the coefficient of restitution for this collision?

(d)[3 pt(s) ? ]What happens to the change in internal energy of a system if the coefficient of restitution gets smaller? For what kind of collision is the most energy converted?

Explanation / Answer

Pf=Pi+F*time Ef=Ei+Q+W 3. The attempt at a solution I attempted to use the change in kinetic energy of the system to solve of the change in internal energy. Ef=.5*m*v2 Ef=.5*6700*<-.597,0,18.134>2 <-- final velocity of the system was calculated in an earlier step and found to be correct Ef,sys=<1194,0,1101620> Ei,car=.5*2200*<35,0,0>2 =<1347500,0,0> Ei,truck=.5*4500*<-18,0,27>2 =<72900,0,1640250 EI,sys=Ei,car+Ei,truck = <1420400,0,1640250>

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