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Consider a 6.0-g steel nail 8.0 cm long and a hammer that

Chapter 10, Problem 41TAS

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QUESTION:

Consider a 6.0-g steel nail 8.0 cm long and a hammer that exerts an average force of 600 N on the nail when it is being driven into a piece of wood. The nail becomes warmer. Show that the increase in the nail’s temperature is \(17.8^{\circ} \mathrm{C}\). (Assume that the specific heat capacity of steel is \(450 \quad \mathrm{J} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}\).)

Text Transcription:

17.8^circ C

450 J / kg cdot ^circ C

Questions & Answers

QUESTION:

Consider a 6.0-g steel nail 8.0 cm long and a hammer that exerts an average force of 600 N on the nail when it is being driven into a piece of wood. The nail becomes warmer. Show that the increase in the nail’s temperature is \(17.8^{\circ} \mathrm{C}\). (Assume that the specific heat capacity of steel is \(450 \quad \mathrm{J} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}\).)

Text Transcription:

17.8^circ C

450 J / kg cdot ^circ C

ANSWER:

Step 1 of 2

Work done,

We have,

The force exerted on the nail, 

Length of steel,

So,

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