Question:

Relativity, please help

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Suppose that total mass of 1kg is transformed into energy, how large is this energy in kilo-watt hours.

I know the answer , 2.5*10^10 K.W.H

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  1. well since E = MC^2,

    E = 1 x 9x10^16

       = 9x10^16J

    Since watts just means Joules per second, you divide the 9x10^18 by 60^2, then you have watt hours, then divide that answer by 1000 and you have kilo-watt hours.


  2. 1kg  of mass corresponds to an energy of

    E=mc^2 = 1*(3*10^8)^2= 9*10^16J

    1 kilowatt heure correspond to an energy of 1000 j/s during 1 hour

    as 1 hour =3600s  

    1kWh= 3600*1000= 3.6*10^6 J

    and 9*10^16/3.6*10^6 = 2.5*10^10

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