Question

If you were capable of converting mass to energy with 100%, efficiency, how much mass would you need to produce 3.5x10^12 Joules of energy? ​

Answer 1

a) 3.9 x 10⁻⁵ kg

Step-by-step explanation:

The amount of mass required to produce the energy can be given by Einstein's formula:

`E = mc^2\\\\m = (E)/(c^2)`

where,

m = mass required = ?

E = Energy produced = 3.5 x 10¹² J

c = speed of light = 3 x 10⁸ m/s

Therefore,

`m = (3.5\ x\ 10^(12)\ J)/((3\ x\ 10^8\ m/s)^2) \\\\m = 3.9\ x\ 10^(-5)\ kg`

Hence, the correct option is:

a) 3.9 x 10⁻⁵ kg