Practice question · Numerical answer
Take the speed of light as 3 x 10^8 m/s. Fully converting 2 kg of matter to energy gives E = 1.8 x 10^n joules. Enter the value of n.
Hints
- Square the speed of light first: the exponent doubles.
- c squared is 9 x 10^16, and 2 times 9 is 18, which must be rewritten as 1.8 x 10.
Show the answer
17
Why
, so J. The renormalisation from 18 to 1.8 bumps the exponent by one, a step routinely dropped, giving 16. The enormous size of the number is why a tiny mass powers a reactor.
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