How much mass is equal to 9 billion J of energy?

Answer 1

To find the mass equivalent of 9 billion joules of energy, we can use Einstein's equation (E = mc^2), where (E) is energy, (m) is mass, and (c) is the speed of light (approximately (3 \times 10^8) m/s). Rearranging the equation to solve for mass gives us (m = \frac{E}{c^2}). Substituting in the values, we find that (m = \frac{9 \times 10^9 \text{ J}}{(3 \times 10^8 \text{ m/s})^2} \approx 1 \times 10^{-1} \text{ kg}) or 0.1 kg. Thus, 9 billion joules of energy is equivalent to about 0.1 kilograms of mass.