I was looking through this solution and realized there wassome mistakes in the a

Question

I was looking through this solution and realized there wassome mistakes in the answer. The problem states: "Two cars collide head-on while each is traveling at 80km/hr. Suppose all there kinetic energy is transformed intothe thermal energy of the wrecks. What is the temperatureincrease of each car? You can assume that each car's specificheat is that of iron." The solution posted, first of all, shows the wrong m/s. 80 km/hr should equal: 22.222 m/s. Next, the question is asking what the temperature increasewould be. Therefore the initial temperature is notnecessary. So, the final equation should look like: Tf = v2/ (2*c) The answer, would therefore be: 0.55 degrees Celsius... I was looking through this solution and realized there wassome mistakes in the answer. The problem states: "Two cars collide head-on while each is traveling at 80km/hr. Suppose all there kinetic energy is transformed intothe thermal energy of the wrecks. What is the temperatureincrease of each car? You can assume that each car's specificheat is that of iron." The solution posted, first of all, shows the wrong m/s. 80 km/hr should equal: 22.222 m/s. Next, the question is asking what the temperature increasewould be. Therefore the initial temperature is notnecessary. So, the final equation should look like: Tf = v2/ (2*c) The answer, would therefore be: 0.55 degrees Celsius...

Explanation / Answer

v=80km/h=22.22m/s The total KE transformed is Let m be the mass of each car then, KE=1/2*mv2+1/2*mv2=mv2 Applying the law of conservation of energy we have as, KE=TE mv2=mCT T=v2/C T=22.222/0.449 T=1099.838K T=826.8380C Each car increases by T/2=413.4190C Hence we get by it. "Hope this helps!Best of luck for the rest of yourcoursework." Applying the law of conservation of energy we have as, KE=TE mv2=mCT T=v2/C T=22.222/0.449 T=1099.838K T=826.8380C Each car increases by T/2=413.4190C Hence we get by it. "Hope this helps!Best of luck for the rest of yourcoursework." T=22.222/0.449 T=1099.838K T=826.8380C Each car increases by T/2=413.4190C Hence we get by it. "Hope this helps!Best of luck for the rest of yourcoursework."

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