Calculating Energy Released from Uranium Fission

AI Thread Summary
The discussion focuses on calculating the energy released from uranium fission using Einstein's formula E=mc^2. A mass of 3.33x10^-28 kg of uranium is considered, with the speed of light approximated at 3x10^8 m/s. The initial attempt at the calculation incorrectly uses a larger mass, resulting in an erroneous energy value. The correct calculation shows that the energy released during fission is approximately 2.997x10^-11 J. The thread highlights the importance of using the correct mass in energy calculations for accurate results.
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Homework Statement




a mass of 3.33x10^-28kg of uranium is converted into energy during nuclear fission (exploding) according to einstien's formula

E=mc^2
where energy is measured in joules (J), m is measured in kg and c = 3000000000m/s is the speed of light

Homework Equations



show that the amount of energy released during fission is 2.997x10^-1 J

The Attempt at a Solution




E = mc^2
= 28kg x (3x10^8ms^-1)^2
= 28kg x (3x10^8ms^-1)x(3x10^8ms^-1)
= 28kg (9x10^16m^2s^-2)
= 28 x (9x10^16)kg m^2s^-2
= 252 x 10^16 J
= 2,520,000,000,000,000

thats my attempt.. i know nothing about this stuff and i was trying to do this for a friend.. I am curious now what others come up with
 
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m = 3.33\times 10^{-28}

c = 3\times 10^8

E = mc^2

E = (3.33\times 10^{-28})(3\times 10^8)^2 = 2.997\times 10^{-11}
 
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