Solving the Mystery of Clay Temperature Change

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SUMMARY

The discussion focuses on calculating the final temperature of a lump of clay after it is thrown against a wall at a speed of 38.0 m/s. The clay has a mass of 0.855 kg and a specific heat capacity of 2555 J/kgK. The kinetic energy of the clay is converted into thermal energy upon impact, which raises its temperature. The key formula used is Q = cmΔT, where Q represents the heat energy, c is the specific heat, and ΔT is the change in temperature.

PREREQUISITES
  • Understanding of kinetic energy calculations
  • Familiarity with the specific heat formula
  • Basic knowledge of thermodynamics principles
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Calculate kinetic energy using the formula KE = 0.5 * m * v²
  • Apply the heat energy formula Q = cmΔT to find the change in temperature
  • Explore the concept of energy conservation in thermodynamic processes
  • Investigate real-world applications of heat transfer in materials
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Students in physics, engineers working with materials, and anyone interested in thermodynamics and energy transfer principles.

rijo664
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k the question states

On a pleasant fall day (temperature of 21.0 degree celsius) a lump of clay (with mass of
.855 kg) is thrown against the wall with a speed of 38.0 m/s. The clay deforms as it sticks to the wall, noiselessly. Assuming no heat escapes into the air, what will be the final temperature of the clay? (Assume the clay starts at the same temperature as the air; Specific heat of clay is 2555 J/kgK.

I did:
Temperature original= 21 degree F
Mass= .885c kg
V= 38.0 m/s
Specific Heat of clay= 2555 J/kgK
Temperature final= ?
Formula= Q=cm delta T
Delta T= Q/cm

that what i have done so far. i know what c and m is but i don't know how to find the Q because i don't have the Change in Temperature. Can u help.

This is what i have so far.
Delta T= Q/(2555J/kgK)(.885kg)

This is what i got so far.

In order to find Q i need the change in temperature. which is what i am stuck on. and i also don't get what i am suppose to do with that velocity.
 
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the initial and final kinetic energies of the clay are not equal. that energy had to go somewhere. the wording of the problem implies that you are to consider that energy which was lost is turned into heat.
 
The change in temperature is what you're asked to find. But you should be able to figure out what Q is. Hint: Why did they give you the speed of the clay?
 

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