Answer:
Explanation:
To answer this question it is necessary to understand that Light travels in vacuum at a <em>constant</em> speed, which means an important property to estimate distances in Universe. We already know that <em>speed of light in vacuum is exactly 299,792,458 m/s.</em>
To solve this question, we need to answer these two ones:
- What is the distance that light travels in one year?
- How many seconds are there in a year?
In the first question, we need to know <em>the distance that light travels in one year, </em>which give us some clue to respond the distance that light travels in 28,000 light-years.
The answer to the second question it is crucial to answer the first question in <em>meters</em>.
<h3>How many seconds are there in a year?</h3>
.
That is, there are 31,536,000 seconds in a year.
<h3>What is the distance that light travels in one year?</h3>
Because light travels at a constant speed, the distance can be calculated as follows:
or, equivalently,
So,
But, we can see that these are <em>big numbers</em>, and a better way to deal with this is to use scientific notation or <em>floating-point numbers</em>.
Then,
and,
So,
, and,
Then, the <em>total distance that light travels in a year</em> is:
But we now that The Sun is <em>28,000 light-year</em> from the center of the Milky Way galaxy, and that 28000light-year= light-year.
So, the distance in meters of The Sun from the center of the Milky Way galaxy is:
Then, the answer is:
.
Likewise, the answer could be found as a <em>matter of proportions</em>, mostly because light travels the same distance at each time:
If light travels in a light-year, how many meters does light travel in 28,000 light-year?
= . or
That is, the same result.
Notice that we calculate the result using 1 year = 365days. We can add more precision to our answer if we consider 1 year = 365,25days, following the same steps.
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