The Sun radiates away energy at the rate of 3.9x10^26 watts. At what rate is it losing mass due to this radiation?

I am confused as to how to solve this, or what formulae to use exactly. The formulae in this section the question is in are Ek = Δmc^2

Question

The Sun radiates away energy at the rate of 3.9x10^26 watts. At what rate is it losing mass due to this radiation?

I am confused as to how to solve this, or what formulae to use exactly. The formulae in this section the question is in are Ek = Δmc^2

anonymous · Answer

well...I'm not exactly sure, but $$E=mc^2$$ seems like a good one. You've mentioned a variation but I don't know all of this to be confident enough. The one thing to be especially careful of is units. I would suspect mass is kg and energy is J, in which case the answer is $$m=E/c^2=4.3x10^9kg$$ I think. And since energy is in Watts then it's really $$kg/s$$ Hope that helps.