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Two cars collide head-on while each is traveling at 80 km/h.

Suppose all their kinetic energy is transformed into the thermal

energy of the wrecks. What is the temperature increase of each

car? You can assume that each car’s specific heat is that of iron.

Short Answer

Expert verified

ΔT=0.556C∘

Step by step solution

01

Given information

Their initial velocity is 80Km/hand the final velocity is 0Km/h

formula used:

The kinetic energy equation:

K=12ΔmΔvf-vi2

02

Step 2:Calculation

The velocity, in units ofm/s

vi=80kmhΔ1[h]3600[s]Δ1000[m]1[km]=22.22ms

The specific heat of iron:

Cp=0.444kJkgΔ°C=444kgm2s2kgΔ°C

Substituting values:

ΔT=12Δ0.0ms-22.22ms2444kgm2s2k8Δ°C=0.556C∘

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