The Sun has a mass of 1.99 * 10³⁰ kg and radiates energy at a rate of 3.85 *10²⁶ W.What is the change in mass of the Sun during one day?

Question

Quizplus · Accepted Answer

The change in mass of the Sun can be calculated using Einstein's famous equation E=mc². Rearranging the equation to solve for mass, we get m=E/c². Using this equation, we can calculate the change in mass of the Sun using the given rate of energy output and the speed of light. 
First, we convert the given energy output from W to J/s: 
3.85 x 10¹² W = 3.85 x 10¹² J/s 
Then, we can calculate the change in mass over one day (86,400 seconds): 
(mass change) = (energy output in one day) / c² 
(mass change) = (3.85 x 10¹² J/s) x (86,400 s) / (2.998 x 10⁸ m/s)² 
(mass change) = 3.7 x 10⁴ kg or 3.7 x 10¹⁰ g 
Therefore, the answer is D, 3.7 x 10¹⁰ kg or 3.7 x 10¹⁰ g, which is approximately 10^-9 times the mass of the Sun.

The Sun Has a Mass of 1