Force applied: calculating increase in temperature (work mostly done, )

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SUMMARY

The discussion focuses on calculating the increase in temperature of a nail subjected to a force of 500N. The work done on the nail is quantified as 30 Joules, and the specific heat capacity is given as 450 J/kg·°C. The user applies the formula Q = (change in Temp) x (mass) to derive a product of 0.0667 kg·°C for the change in temperature and mass. The main challenge presented is determining the mass of the nail to isolate the temperature change.

PREREQUISITES
  • Understanding of basic physics concepts such as force, work, and energy.
  • Familiarity with the formula for specific heat capacity.
  • Knowledge of unit conversions, particularly between Joules and degrees Celsius.
  • Ability to calculate mass from given dimensions and density.
NEXT STEPS
  • Calculate the mass of the nail using its dimensions and material density.
  • Review the principles of thermodynamics related to heat transfer and energy conservation.
  • Explore the relationship between force, work, and energy in mechanical systems.
  • Investigate the effects of different materials on specific heat capacity.
USEFUL FOR

Students in physics, engineers working with materials, and anyone interested in thermodynamic calculations related to mechanical work and heat transfer.

spidey64
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Ok, I need to calculate the increase in temperature of a nail hit by a hammer with force of 500N. The length of the nail is .06m, so the work done and, I'm assuming, the energy added to the nail (Q) is 30 Joules. The specific heat capacity of the nail is 450 J/kg *C(degrees Celsius). By using the formula for finding the specific heat capacity : Q/(change in Temp x mass), I then found that the (change in Temp x m) = .0667 kg*C, but how the heck do I find the mass of the nail to single out the temp value?
 
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really? no ideas at all? or am I going down the wrong path, or anything?
 

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