Heat Transfer of nail into a board

AI Thread Summary
The discussion centers on calculating the temperature increase of an aluminum nail after being struck ten times by a hammer. It begins with the kinetic energy (KE) of the hammer, calculated using the formula KE = 1/2mv², resulting in a value of approximately 54.76 J. Assuming 60% of this energy transforms into heat, the heat energy transferred to the nail is about 32.85 J. The equation Q = mcΔt is then applied to find the temperature increase, considering the mass of the nail and its specific heat capacity. The conversation also raises questions about potential heat loss during the process.
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Homework Statement



A nail driven into a board increases in temperature.

Homework Equations



If we assume that 60 % of the kinetic energy delivered by a 1.80-\rm kg hammer with a speed of 7.80 \rm m/s is transformed into heat that flows into the nail and does not flow out, what is the temperature increase of an 8.00-\rm g aluminum nail after it is struck ten times?

The Attempt at a Solution



KE=1/2mv2
=1/2(1.8)(7.8)2
=54.756

60% of 54.756 = 32.8536

Q=mc\Deltat
32.8536=.008(910)\Deltat
 
Physics news on Phys.org
Nail is struck 10 times.
 
Nail is struck 10 times and moreover is there any heat loss while the nail is being driven!
 

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