How Fast Must a Bullet Travel to Heat Water by 1.3 Degrees Celsius?

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SUMMARY

The discussion focuses on calculating the speed required for a 4.54g bullet to increase the temperature of 1.00 L of water by 1.30 degrees Celsius. The relevant equations include the conservation of energy, specifically the kinetic energy formula and the heat transfer equations. Participants emphasize the need to correctly apply the energy conservation principle and convert units appropriately, particularly from CGS to SI. The kinetic energy of the bullet must equal the heat energy absorbed by the water to solve the problem accurately.

PREREQUISITES
  • Understanding of kinetic energy calculations
  • Familiarity with heat transfer equations
  • Knowledge of unit conversion between CGS and SI
  • Basic principles of thermodynamics
NEXT STEPS
  • Study the conservation of energy principle in physics
  • Learn how to calculate kinetic energy using the formula KE = 0.5mv²
  • Research the specific heat capacity of water and its implications
  • Practice unit conversion techniques between CGS and SI units
USEFUL FOR

Students studying physics, particularly those focusing on thermodynamics and energy conservation, as well as educators seeking to enhance their understanding of heat transfer principles.

shakejuhn
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Homework Statement



How fast would a 4.54g bullet have to be traveling so that it increased the temperature of 1.00 L of water by 1.30oC if it gave all of its kinetic energy to the water?

Homework Equations


i don't know what equation to use i have two of them but its seems they don't apply to this problem

mgh-.5MVf^2=q

q=cM(Tf-Ti)
q=C(Tf-Ti)




The Attempt at a Solution



please point me in the correct direction so i can attempt the problem
 
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What unit of energy does it take to raise water by 1C? How do you convert from that into MKS units of energy? What is the kinetic energy of the bullet (your equation above is not correct -- close, but not right)?


Hint: http://en.wikipedia.org/wiki/Calorie
 
shakejuhn said:

Homework Equations


i don't know what equation to use i have two of them but its seems they don't apply to this problem

mgh-.5MVf^2=q

q=cM(Tf-Ti)
q=C(Tf-Ti)

You have only one eqn, viz., that of energy conservation. (Use CGS and then convert to SI, as had been advised.)
 

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