The total U.S. consumption of electricity in a particular year was 5.0 x 1012 kilowatt-hours. What is the mass equivalence of this amount of energy? Show all calculations leading to an answer.

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The total U.S. consumption of electricity in a particular year was 5.0 x 1012 kilowatt-hours. What is the mass equivalence of this amount of energy? Show all calculations leading to an answer.

Mathematics
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5.0x10^12
Honestly, I've never seen this before, but I think you convert kW-h to J and use E = mc²

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Other answers:

quite right ....just calculate the year's energy in joules and then use E=mc^2 to find out the mass equivalence ...
can you walk me through changing it to joules please
okay hold on
1 kilowatt hour = 3 600 000 joules
convert it your Kwh into joules then put it in E=MC^2
E being your energy in jouls ....and C being the speed of light
use SI units
so 5.0*10^12=5,000,000,000,000
now multiply it by 3 600 000
yu get your enerygy in jouls then
don t get rid of the exponantional notation here ...it help keeps the number small
so 1.8*10^19j
3 600 000 x (your enrgy in Kwh) = MC^2 you need to fing out M
J*
yeah ... there ya go ^_^
and than the equation i need is M=E/C^2
correct?
yes
good work
So M=1.8*10^19J/299792458m/s
gottta change m/s to J
Basically, the equation states that matter and energy are identical. If you could convert a small amount of matter completely, it would yield a tremendous amount of energy. in your case how ever you are finding the mass cause you already know the energy
everything should be in SI units ....like meter for distance jouls for energy ...
so what do i do than
So M=1.8*10^19J/299792458m/s you said this was your answer right ?
yes but isnt there something more i have to do
that figure is your answer .... express it in kilograms and your all set
how do i express it in kilograms
just do 1.8*10^19/299792458 and add the alphabets Kg in the end
would you believe it i am driving right now ....and i pull over to the side to answer your questions
are you clear on this ?
haha thank you so much
feel free to ask .... i am in the parking lot now
Would you help me with one more question if i post it
No problem bro
depends if i can solve it myself .... ... hit me with it

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