Question

9. The sun radiates about 3.6 x 1026 joules of energy each second. How much mass does the lose each second? Show all of your work and be sure all numbers must be clearing identified and explain in your work.

Answer 1

The Sun gives off energy, and that energy can be found deep in it's core, the Sun is busily converting mass into energy. According to Einstein equation of mass and energy equivalence, from his very famous equation E = mc². 

Given: Energy E = 3.6 X 10²⁶ J

           Speed of light c = 3.00 x 10⁸ m/s

Required: Mass m loss by the sun each second

Formula: E = mc² derive for mass m

m = E/c²

m = 3.6 x 10²⁶ Kg.m²/s² or J/(3.00 X 10⁸ m/s)²

m = 4 x 10⁹ Kg     or the Sun is loosing

m = 4 million tons of mass each second