Converting Matter to Power: Calculating Mass for 3200W of Energy for 3 Days

AI Thread Summary
To calculate the mass of matter converted to energy for 3200W over 3 days, the formula E = P*t is applied, leading to the equation m = P*t/c². The initial calculation yielded an incorrect mass of 1.066X10^-13 kg due to inconsistent unit usage. After correcting the time conversion to seconds (3 days = 259200 seconds), the revised calculation resulted in a mass of 9.216X10^-9 kg. The discussion emphasizes the importance of using consistent units in energy calculations. Accurate unit conversion is crucial for deriving meaningful results in physics problems.
Ethan_Tab
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Homework Statement


What mass of mater would be converted to energy to provide 3200W of Power for 3 days?

Homework Equations


P=E/t
E=mc2

The Attempt at a Solution


[/B]
E=P*t
Subbing mc2 for energy I get

mc2=P*t

m=P*t/c2

m=(3200W*3Days)/(9X1016m2/s2)

m= 1.066X10-13kg

This answer is incorrect.
What am I missing?
 
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What's the definition of a watt?

Have you used consistent units, or did you just throw all your numbers in a big churn and crank out a meaningless answer?
 
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I threw all my numbers in a big churn and cranked out a meaningless answer.

3 Days= 259200s

Doing the same calculation I get 9.216X10-9kg

Thank you :)
 
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