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5/10 POINTSPREVIOUS ANSWERSWANEAC7009_MY NOTESASk YOUR TEACHERThe areacircular sunspotgrowing500 kin? /sec Instanthca equals 6,000 kilomneters? HINT (See Example 1....

Question

5/10 POINTSPREVIOUS ANSWERSWANEAC7009_MY NOTESASk YOUR TEACHERThe areacircular sunspotgrowing500 kin? /sec Instanthca equals 6,000 kilomneters? HINT (See Example 1.] (RoundHov fast the Ndlus growing Your Antwtr three decimal pu.coa ) 0 u4u(D) How fast the radius growing the Instant when the sunspot has A 810,000 square kllometers? e [Use the area tormul determine the radlus that Inatant,] (Round you Jns Hei declmal plucusal 14231 kIvsNeed Help? uallma

5/10 POINTS PREVIOUS ANSWERS WANEAC7 009_ MY NOTES ASk YOUR TEACHER The area circular sunspot growing 500 kin? /sec Instanthca equals 6,000 kilomneters? HINT (See Example 1.] (Round Hov fast the Ndlus growing Your Antwtr three decimal pu.coa ) 0 u4u (D) How fast the radius growing the Instant when the sunspot has A 810,000 square kllometers? e [Use the area tormul determine the radlus that Inatant,] (Round you Jns Hei declmal plucusal 14231 kIvs Need Help? uallma



Answers

The Sun has a radius of $6.96 \times 10^{5} \mathrm{km}$ and a blackbody temperature of $5780 \mathrm{K}$. Calculate the Sun's luminosity. (Hint: The area of a sphere is $4 \pi R^{2}$.)

For this problem. On the topic of induct INTs, we are given the magnetic field strength on a sunspot were also given its radius and the density off the material in the sun spot. We want to calculate the speed at which material will be would be ejected if we assume that 100% off the magnetic field, energy stored in the sunspot could be used to eject the material away from its surface. Now we first confined the energy density in the sun spot you be an energy density we know is the strength of magnetic field B squared invited by two times me or not And this value since we're given the magnetic field strength to be 0.4 test Lear's 0.4 right squid over to you not which, you know is 45 attempts into the minus seven s i units. This gives us the magnetic field or the Indian density in the magnetic field to be six 0.3 66 times 10 to the power four and that's jewels per cubic meter. Now the total energy stored in volume V of the Sun Sport sport is capital. You be so the total energy is obviously just the energy density or the energy per unit volume times the volume and the mass off the material in the volume off the sunspot M is its density role times volume V. Now, if we set the kinetic energy equal to the magnetic field energy we get So we set the kinetic energy ke equal to the energy stored, the magnetic field you be implies that a half and the squared where V is the velocity at which the material is ejected which we wish to calculate is equal to give America feel energy you be so we can rewrite him as the density of material role times. It's total volume. V times V squared is equal to the energy density Little you be times the volume V so we can see immediately that DVs cancel out on either side and we can rearrange. And so for V, which is the speed at which the material will be ejected from the sun spot and he is the square root off two times the energy density, you be off the density off material role and if we substitute our values, both of which are known into this equation, we get the speed at which Matina would be ejected to be two times 10 to the powerful meters the second.

Falling regions of sun here are gonna be listed in increasing radius. So from smallest two largest 1st 1 B core second, see radiative. So next one is D invective zone. Next one is s third a sphere. Then you have e sunspot. Then you have a corona. Then you have G sunspot, the last one in terms of increasing radios.

Percent number 11 that's more or less tedious is off. Son is part off said that come stuck war off the sun. It has its really is greater than the sunny spot. Then after that comes the radiative Joan, then convective Joan. This convicted Joan is a smaller than the for toy sphere, which is a smaller then grow moist via and that last, the Koran off the sun as the great best radius. So in the increasing order off the radius, the onset is G less than be. Let's then see less than option B less than a. There's then E, and it is less than auction a corona.

In this problem, we are going to calculate the speed of the ejected material like the speed is a small we, as the energy stored you to the magnetic field converts into the kinetic energy of the material. So we can white hair guarantee that he should be equal to the magnetic energy that is you be While this kind of energy is written as one divided by two and we square is equals to be square divided by two meal not Monte Quebrada volume Here This is the magnetic field with the volume and at this moment is the permeability of the free space we can white. The mess of the materialism is equals two density multiplied by the volume so we can wind This question has one he wanted by to dance t roll multiplied by the wood William into the small square is equals to be square divided by to my knowledge multiply we captive we from here we can write the equation for the speed as a small physicals to square out of B square divided by row will not Let's put the values into the square and we can write small. These equals to square out of, uh 0.4 Tesla whole square you want by roll, which is equal to three months. Laboratories par minus four Energy. Thank you. Into four by multiple Aboriginals Par minus seven this kilometer. But compared And we have the school up to this point. So from here we can ride. The value for the speed is we is equal to 20.6 Multiply. Winter is far 3 m per second. So this is our answer. Thank you.


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