contestada

A fission-based nuclear bomb such as those used in World War II) uses the nuclear reactions (8.5x 10^13 J) and amount of fuel of 9.4 kg. However, by alloweing an uncontrolled chain reaction to occur, all of the bomb's energy can be released in about 1.0 x 10^-6 s. What is the average power of the nuclear bomb?

Respuesta :

To solve this problem we must use the mathematical relations concerning the Power as a function of the energy released in a certain period of time. In other words:

[tex]P = \frac{E}{t}[/tex]

Where,

[tex]E = 8.5*10^{13}J \rightarrow[/tex] Energy

[tex]t = 1*10^{-6} \rightarrow[/tex] time

Replacing this values we have that

[tex]P = \frac{8.56*10^{13}J}{1*10^{-6}s}[/tex]

[tex]P = 8.5*10^{19}W[/tex]

Therefore the average power of the nuclear bomb is [tex]8.5*10^{19}W[/tex]