Help:The sun radiates about 3.6 x 10^26 joules of energy each second. How much mass does the sun lose each second? Show your work.

Question

Help:The sun radiates about 3.6 x 10^26 joules of energy each second. How much mass does the sun lose each second?  Show your work.

anonymous · Answer

Solar Mass = 1.989 x 1033 g
Absolute luminosity = 3.86 x 1033 erg/sec
Speed of light c   = 2.99 x 1010 cm/sec
Start with Einstein's famous equation: "E = mass times c2" and rearrange the terms to solve for the mass M:

M = E/c2

And after inputting our numbers:

        = 3.86x1033/(2.99x1010)2 
        = 4.289x1012 g/sec
we find that the Sun loses mass 4.289x1012 g every second to energy.

anonymous · Answer

FYI, it's likely better to use MKS units than CGS units, especially as Solar mass is typically given in kilograms, and c is typically given in in m/s.

anonymous · Answer

could you explain it in the units your talking about?

anonymous · Answer

$$m=\frac{ E }{ c ^{2} }=\frac{ 3.6*10^{26}J }{ \left( 2.99792*10^{8}m/s \right)^{2} }=4.056*10^{9}kg$$

anonymous · Answer

Note that my answer is slightly different because I used a value for c that had greater precision than that used by @greenleaf800073.

anonymous · Answer

He also used a different value for E.

anonymous · Answer

thank youuuuuuu, yes I see, could u also help me with two more question?

anonymous · Answer

Derive the time dilation equation , explain each step of the derivatior

anonymous · Answer

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