(Answered) A 1500 kg car travelling at 108 kmhr is pulled over in an

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A 1500 kg car, travelling at 108 km/hr, is pulled over in an 80 km/hr zone. What is the temperature rise in each of the four brake drums? (Each of the four iron brake drums weigh 8.0 kg and the specific heat of iron is 448 J/kg/°C.)

My attempt:

v²-u² = 2ad

a = (v²-u²)/2d

F = ma = m/(2d) * (v²-u²)

W = Fd = m/(2d) * (v²-u²) * d = m/2 * (v²-u²)

Q = mc(T_f-T_i)

T_f-T_i = Q/(mc) = W/(mc) = m/2 * (v²-u²) * 1/(mc) = (v²-u²)/(2c)

v = 108 km/hr = 30 m/s, u = 0 (since it comes to a stop), c = 448 J/kg/°C

So T_f-T_i = 30²/(2*448) = 1.0

This answer is wrong though. Any help would be appreciated.

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