The power output of a star is 7.22 x 1028 watts. Every 47.0 seconds, the star converts _________ kg of its mass into energy.
To determine the mass conversion of the star into energy, we can use Einstein's famous equation, E = mc^2, where E represents energy, m represents mass, and c represents the speed of light.
First, we need to find the energy released by the star per second. We know the power output, which is the energy released per second. So, the energy released by the star per second is 7.22 x 10^28 watts.
Now, we can calculate the energy released by the star in 47 seconds. We multiply the energy released per second by the number of seconds:
Energy = Power x Time
Energy = 7.22 x 10^28 watts x 47.0 seconds
Next, we need to convert the energy into mass. Rearranging Einstein's equation, we have:
m = E / c^2
Substituting the known values, we have:
m = (7.22 x 10^28 watts x 47.0 seconds) / (3 x 10^8 meters/second)^2
Calculating this expression will give us the mass converted into energy by the star in kilograms.