How much mass (in milligrams) is equivalent to 9 billion J of energy?

To find the mass equivalent of 9 billion Joules of energy, we can use Einstein's mass-energy equivalence principle, which is expressed in the equation E=mc^2.

Here, E is energy, m is mass, and c is the speed of light in a vacuum (approximately 3 x 10^8 meters per second).

First, we need to rearrange the equation to solve for mass (m). This gives us m = E/c^2.

Next, we substitute the given energy (E = 9 billion Joules = 9 x 10^9 Joules) and the speed of light (c = 3 x 10^8 m/s) into the equation.

This gives us m = (9 x 10^9 J) / (3 x 10^8 m/s)^2.

Solving this equation gives us m ≈ 0.1 kg.

However, the question asks for the mass in milligrams. To convert from kilograms to milligrams, we multiply by 1,000,000 (since there are 1,000,000 milligrams in a kilogram).

So, m ≈ 0.1 kg * 1,000,000 mg/kg = 100,000 mg.

Therefore, 9 billion Joules of energy is equivalent to approximately 100,000 milligrams of mass.