Compute all parts of following problem given below:
Problem: The sun radiates energy at the rate 3.8×1026W. The source of this energy is fusion, a nuclear reaction in which mass is transformed into energy. The mass of the sun is 2.0×1030kg.
Part I: How much mass does the sun lose each year?
Part II: What percent is this of the sun's total mass?
Part III: Estimate the lifetime of the sun.
Please show complete calculation thank you!