Physics, 23.10.2020 15:20 blair23

Sirius is 22 times more luminous that the Sun, and Polaris is 2350 times more luminous that the Sun. Sirius appears 23 times brighter than Polaris. Polaris is times farther away than Sirius.

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Answer from: skywil8981

Polaris is approximately 4.796 times farther away than Sirius.

Explanation:

According to the inverse-square law, widely used in wave phenomena, the luminosity, a form of intensity of electromagnetic webs, is inversely proportional to the square of distance. In other words, we get the following definition:

$I \propto \frac{1}{r^{2}}$

$I = \frac{k}{r^{2}}$ (Eq. 1)

Where:

- Proportionality ratio, measured in watts.

- Distance from the center of the star, measured in meters.

- Luminosity of the star, measured in watts per square meter.

Then, we eliminate the proportionality ratio by constructing the following relationship:

$I_{S}\cdot r_{S}^{2} = I_{P}\cdot r_{P}^{2}$ (Eq. 2)

Where:

$I_{S}$ , $I_{P}$ - Intensities of Sirius and Polaris, measured in watts per square meter.

$r_{S}$ , $r_{P}$ - Distances from centers of Sirius and Polaris, measured in meters.

After some algebraic handling, we get that:

$\frac{r_{P}}{r_{S}} = \sqrt{\frac{I_{S}}{I_{P}} }$

If we know that $\frac{I_{S}}{I_{P}} = 23$ , then the distance ratio of Polaris to Sirius is:

$\frac{r_{P}}{r_{S}} =\sqrt{23}$

$\frac{r_{P}}{r_{S}} \approx 4.796$

In a nutshell, Polaris is approximately 4.796 times farther away than Sirius.

Answer from: Quest

1) when you rub your hands together quickly, the kinetic energy is converted to mechanical energy.2) thermal energy from the sun travels to earth as infrared waves.3) energy is transferred through the matter of space by electromagnetic waves. 4) when a match is burned, chemical potential energy is converted to thermal and radiant energy. 5) seismicwaves are caused by back and forth movement , or vibration, of an object. 6) mechanicalenergy in an engine changes thermal energy into kinetic energy to make a car move.

Answer from: Quest

it's when something is going so fast it makes a loud noise, breaking the sound barrier, for example: a jet makes a loud noise, not only cause of the jet but because they reached a point where they went so fast that you can year the noise from various parts, kinda like a police car, lets say the car was going so fast that you hear the siren of the cop car right next to you, but the car is probably a mile a way, it's cos the siren was next to you a few seconds if you understand me

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Sirius is 22 times more luminous that the Sun, and Polaris is 2350 times more luminous that the Sun....

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