Question

What mass is converted into energy by a 1.00-MT bomb?

a) 4.50×10¹⁰kg
b) 6.00×10¹⁰kg
c) 7.50×10¹⁰kg
d) 9.00×10¹⁰kg

Answer 1

The mass converted into energy by a 1.00-MT bomb is 0.111 kg.

Step-by-step explanation:

The equation that relates mass and energy is given by Albert Einstein's famous equation, E = mc². Here, E represents energy, m represents mass, and c represents the speed of light. To find the mass converted into energy by a 1.00-MT bomb, we need to rearrange this equation to solve for m. Given that the bomb has a yield of 1.00-MT (megaton), which is equivalent to 1.00 × 10¹⁵ J (joules), and knowing that the speed of light is approximately 3.00 × 10⁸ m/s, we can substitute these values into the equation to find the mass:

E = mc2

1.00 × 1015 J = m(3.00 × 108 m/s)2

m = (1.00 × 1015 J) / (9.00 × 1016 m2/s2)

m = 0.111 kg

Therefore, the mass converted into energy by a 1.00-MT bomb is 0.111 kg.