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

AI Thread Summary
To determine the speed required for a 4.54g bullet to raise the temperature of 1.00 L of water by 1.30°C, the principle of energy conservation must be applied. The kinetic energy of the bullet must equal the heat energy transferred to the water, which can be calculated using the specific heat capacity of water. The relevant equations include the kinetic energy formula and the heat transfer equation, which relate energy and temperature change. It's important to convert units appropriately, particularly from CGS to SI, to ensure accuracy in calculations. Understanding these concepts will guide the solution to the problem.
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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