Review Conceptual Example 3 for information pertinent to this problem. When we look at a particular star, we are seeing it as it was 307 years ago. How far away from us (in meters) is the star? Take a year to be 365.25 days
Review Conceptual Example 3 for information pertinent to this problem. When we look at a particular star, we are seeing it as it was 307 years ago. How far away from us (in meters) is the star? Take a year to be 365.25 days
College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Review Conceptual Example 3 for information pertinent to this problem. When we look at a particular star, we are seeing it as it was 307 years ago. How far away from us (in meters) is the star? Take a year to be 365.25 days.

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A supernova is a violent explosion that occurs at the death of certain stars. For a few days after the explosion, the intensity of the
emitted light can become a billion times greater than that of our own sun. After several years, however, the intensity usually
returns to zero. Supernovae are relatively rare events in the universe; only six have been observed in our galaxy within the past
400 years. A supernova that occurred in a neighboring galaxy, approximately 1.66 x 102' m away, was recorded in 1987. Figure
24.13 shows a photograph of the sky just a few hours after the explosion. Astronomers say that viewing an event like the
supernova is like looking back in time. Which one of the following statements correctly describes what we see when we view such
events? (a) The nearer the event is to the earth, the further back in time we are looking. (b) The farther the event is from the earth,
the further back in time we are looking.
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FIGURE 24.13 True color image of the 1987 supernova
(bright spot at the lower right). The larger cloud-like
object near the middle left is the Tarantula nebula, whose
light also takes approximately 175 000 years to reach the
earth.
Reasoning The light from the supernova traveled to earth at a speed of c = 3.00 × 108 m/s. The time t required for the light to
travel the distance d between the event and the earth is t = dlc and is proportional to the distance.
Answer (a) is incorrect. Since the time required for the light to travel the distance between the event and the earth is proportional
to the distance, the light from near-earth events reaches us sooner rather than later. Therefore, the nearer the event is to the earth,
the less into the past it allows us to see, contrary to what this answer implies.
Answer (b) is correct. The travel time for light from the supernova is
1.66 × 1021 m
d
t =
= 5.53 × 1012 s
3.00 x 10° m/s
This corresponds to 175 000 years, so when astronomers saw the explosion in 1987, they were actually seeing the light that left
the supernova 175 000 years earlier. In other words, they were looking back in time. Greater values for the distance d mean
greater values for the time t.
Related Homework: Problem 15
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