Heat Transfer of nail into a board

[amiv4]

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$$\Delta$$t
32.8536=.008(910)$$\Delta$$t

 

[rl.bhat]

Nail is struck 10 times.

 

[IITian]

Nail is struck 10 times and moreover is there any heat loss while the nail is being driven!