Calculating Speed of Lead Bullet on Steel Sheet

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SUMMARY

The discussion focuses on calculating the speed of a lead bullet impacting a steel sheet, where the bullet melts upon impact. Given the bullet's initial temperature of 320K and melting point of 600K, it is established that 80% of the bullet's kinetic energy (k.e) is converted into internal energy. The specific heat capacity of lead is 0.12 kJ/kg K, and the specific latent heat of fusion is 21 kJ/kg. The key equation to utilize is EK = 1/2 mv², where 'm' represents the mass of the bullet.

PREREQUISITES
  • Understanding of kinetic energy calculations (EK = 1/2 mv²)
  • Knowledge of specific heat capacity and latent heat concepts
  • Basic algebra for manipulating equations
  • Familiarity with thermodynamic principles related to phase changes
NEXT STEPS
  • Calculate the energy required to melt the lead bullet using specific heat and latent heat formulas
  • Explore the relationship between kinetic energy and thermal energy conversion
  • Investigate the effects of mass on the speed of impact calculations
  • Learn about energy conservation principles in thermodynamic systems
USEFUL FOR

Students in introductory physics courses, particularly those studying thermodynamics and energy transformations, as well as educators seeking to explain these concepts effectively.

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Homework Statement


A lead bullet at 320K is stopped by a sheet of steel so that it reaches its melting point of 600K and completely melts If 80% of the k.e of the bullet is converted into internal energy calculate the speed with which the bullet hits the stee sheet.


Homework Equations


Specific heat capacity of lead = 0.12kJ/kg K
Specific latent heat of fusion is 21kJ/kg


The Attempt at a Solution


i have just started this class so i am a newbie to all of this i tired EK=1/2mv^2 but I am having trouble with it
 
Last edited:
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This doesn't belong in the Advanced Physics forum--the Introductory forum would be more appropriate.

Having said that, a good start would be to calculate how much energy it would take to melt the bullet. It doesn't tell you the bullet's mass, so just call it 'm' for now, and try to calculate the value in terms of that.
 

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