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Thermal Physics

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Two cars collide head on while each is travelling at 80 km/hr. Suppose all of their
kinetic energy is transformed into thermal energy. What is the temperature increase
of each car? [You may assume that the specific heat capacity of each car is that of
iron, 449 J kg-1K-1.]

  • Thermal Physics -

    Divide the initial total kinetic energy (M V^2) by the heat capacity (2*M*C). M is the mass per car.

    To compute total KE in Joules, note than you must first convert 80 km/h to 22.22 m/s. You must include a factor of 2 because there are two cars

    Leave the mass as an unknown factor, M. It will cancel out

    Then
    delta T = V^2/(2 C)
    where C is the specific heat

    I get a T rise of 0.55 C (or K)

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