A carpenter is driving a 15.0-g steel nail into a board.His 1.00-kg hammer is moving at 8.50 m/s when it strikes the nail.Half of the kinetic energy of the hammer is transformed into heat in the nail and does not flow out of the nail.What is the increase in temperature of the nail after the three blows that the carpenter needs to drive the nail in completely? The specific heat of steel is 448 J/kg ∙ K.

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Quizplus · Accepted Answer

The correct answer is A.The kinetic energy of the hammer is 1/2 * 1.00 kg * (8.50 m/s)^2 = 36.1 J. Half of this energy is transformed into heat in the nail, so the heat energy is 18.0 J. The mass of the nail is 15.0 g = 0.0150 kg. The specific heat of steel is 448 J/kg ∙ K. The increase in temperature of the nail is:ΔT = Q / (m * c) = 18.0 J / (0.0150 kg * 448 J/kg ∙ K) = 8.1 K

A Carpenter Is Driving a 15