Question

When the plutonium bomb was tested in New Mexico in 1945, approximately 1 gram of matter was converted into energy. Suppose another bomb is tested, and 1.5 grams of matter are converted into energy. How many joules of energy are released by the explosion?

Answer 1

The value is
`E = 1.35 *10^(14) \ J`

Step-by-step explanation:

From the question we are told that

The mass of matter converted to energy on first test is
`m = 1 \ g = 0.001 \ kg`

The mass of matter converted to energy on second test
`m_1 = 1.5 \ g = 1.5 *10^(-3) \ kg`

Generally the amount of energy that was released by the explosion is mathematically represented as

`E = m * c^2`

=>
`E = 1.5 *10^(-3) * [ 3.0 *10^(8)]^2`

=>
`E = 1.35 *10^(14) \ J`