At the rate at which the Sun is losing mass in the solar wind, how many years does it take the S

At the rate at which the Sun is losing mass in the solar...

Key Concepts

Solar Wind

Solar wind refers to the stream of charged particles released from the upper atmosphere of the Sun. It carries away mass from the Sun over time and plays a crucial role in shaping the interplanetary environment and solar system dynamics.

Mass Loss Rate

The mass loss rate is the measure of how much mass a star like the Sun loses per unit time. This concept is critical for understanding long-term changes in a star’s mass and the impact on its evolution and surrounding environment.

Time Scale Estimation

Time scale estimation involves calculating how long a certain process takes based on known rates. In the context of mass loss, it allows scientists to estimate the duration required for the star to lose a given amount of mass, linking physical processes to astronomical time periods.

Comparative Mass Analysis

Comparative mass analysis involves comparing the mass of different objects, such as a planet versus the mass lost by the Sun. This technique provides perspective on the relative importance of changes in mass when considering the enormous scales involved in astrophysical processes.

Transcript

00:01 Here we're going to consider two processes that have the sun losing some of its mass and see if either is a cause for concern, at least over a very long time period.

00:16 And the first process is nuclear reactions.

00:22 So basically, we are converting mass into energy.

00:29 Mass is energy.

00:30 And that energy is coming out through the solar luminosity is the rate at which that energy is coming out.

00:40 So we can actually figure out the mass just using some simple argument.

00:46 The luminosity of the sun is 3 .83 times 10 to the 26 joules per second or watts.

00:59 And here we are going to say that this is the energy loss per unit time.

01:09 And then we will equate the energy loss to mass loss times c squared.

01:18 Simple relationship there.

01:21 And so delta m over delta t, the mass loss rate is equal to 3 .83 times 10 to the 26, divide by the speed of light 2 .998 times 10 to the 8th squared, and that is kilogram per second.

01:52 Okay, and that turns out to be 4, roughly 4 times 10 to the 9th kilograms per second.

02:03 Now it is standard procedure to write this in terms of the solar mass loss.

02:11 Per year.

02:13 So we're going to convert that mass loss rate in solar masses per year.

02:28 The easier thing to think about.

02:30 So delta m by delta t, we're going to take that and we're going to divide by the number of kilograms in a solar mass, 1 .99 times 10 to the 30th kilograms per solar mass times one per second, times 3 .15 times 10 to the 7th seconds per year.

03:05 Yeah, so we'll wind up with mass lost in solar masses per year.

03:12 And this is equal to, yeah, if we kind of approximated, it's about six, a little bit over six times 10.

03:31 To the, i'm sorry, that should have been 10 to the 30...

Please give Ace some feedback