Solar Energy Q: Mass of Sun Decrease/s?

In summary, the question asks for the decrease in mass of the sun per second due to the energy flux of 1.4 kW per square meter of surface perpendicular to the direction of the sun. The first step in solving this is to find the total power output of the sun by multiplying the flux by the total surface area of a sphere with the radius of the Earth's orbit. This can then be used in the equation E=mc^2 to calculate the decrease in mass. The approach of analyzing it this way is based on the assumption that the energy is isotropically distributed.
  • #1
asdf1
734
0
In this question,
"Solar energy reached the Earth at the rate of about 1.4 kW per square meter of surface perpendictular to the direction of the sun. By how much odes the mass of the sun decrease per second owing to this energy law?"

What is your first reaction to this question? How would you make the first move?
 
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  • #2
First find the surface area of a sphere with the radius of the Earth's orbit. Multiply by that 1.4kW flux and you'll get the total power output of the sun. Then, apply E=mc^2...
 
  • #3
What is your first reaction to this question?
That it's a homework question, and has been posted in the wrong part of PF?
 
  • #4
it's not homework~
i'm trying to self-study modern physics...
 
  • #5
russ_watters said:
First find the surface area of a sphere with the radius of the Earth's orbit. Multiply by that 1.4kW flux and you'll get the total power output of the sun. Then, apply E=mc^2...

@@a
how did you think of why to "analyze it" that way?
 
  • #6
asdf1 said:
@@a
how did you think of why to "analyze it" that way?
The question posed - a power flux - 1.4 kW per square meter of surface.

So to get the total power (in kW), one simply multiplies the flux (energy/unit area) by the total area, as Russ indicated. This application assumes that the flux is constant in all directions.

Conversely, to get the flux at some distance, simply divide the total power (again assuming the energy is isotropically distributed) by the area of a sphere at that distance (radius of the sphere).

Remember power = energy per unit time.
 
  • #7
thank you very much! :)
i think physics is interesting, but i often have trouble making the first step...
thanks so much for explaining!
 

1. How does solar energy affect the mass of the Sun?

Solar energy does not directly affect the mass of the Sun. The Sun's mass remains constant because the energy released through nuclear fusion is balanced by the gravitational force holding the Sun together.

2. Is the Sun losing mass due to solar energy?

Yes, the Sun is losing a small amount of mass due to the energy it radiates into space. This is a natural process known as solar wind, which is the continuous flow of charged particles from the outer layer of the Sun. However, the mass loss is very small and does not significantly impact the overall mass of the Sun.

3. Will the Sun eventually run out of mass due to solar energy?

No, the Sun is expected to continue radiating energy for another 5 billion years. While it will gradually lose mass over time, it is estimated that the Sun will only lose about 0.01% of its mass in the next 10 billion years.

4. Can we harness the Sun's energy without affecting its mass?

Yes, solar energy technologies such as solar panels and solar thermal systems do not have any impact on the Sun's mass. These technologies simply capture and convert the Sun's energy into a usable form without altering the Sun's mass in any way.

5. Is the Sun's mass related to the amount of solar energy it produces?

Yes, the Sun's mass is directly related to the amount of solar energy it produces. The larger the mass of the Sun, the more energy it can produce through nuclear fusion. However, as mentioned earlier, this energy production does not have a significant impact on the Sun's overall mass.

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