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A light second is the distance that light moves in one second. How many light seconds is the moon from the earth? A. \(5.8 \times 10^{-6}\) light seconds B. \(1.2 \times 10^{-3}\) light seconds C. \(5.8 \times 10^{-3}\) light seconds D. \(1.28\) light seconds

Short Answer

Expert verified
D. 1.28 light seconds

Step by step solution

01

Understand the speed of light

Light travels at a speed of approximately 299,792 kilometers per second.
02

Find the distance from the Earth to the Moon

The average distance from the Earth to the Moon is about 384,400 kilometers.
03

Calculate the light seconds

To find the number of light seconds, divide the distance from the Earth to the Moon by the speed of light:\[\text{{Light seconds}} = \frac{{384,400 \text{{ km}}}}{{299,792 \text{{ km/s}}}}\]
04

Perform the division

Calculate the value:\[\frac{{384,400}}{{299,792}} \approx 1.282 \]
05

Compare with given options

The closest given option to the calculated value of approximately 1.282 light seconds is:D. 1.28 light seconds

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

speed of light
The speed of light is one of the fundamental constants of nature. Light travels incredibly fast at approximately 299,792 kilometers per second (km/s). This speed means that light can travel around the Earth roughly 7.5 times in just one second! Due to its fast pace, the speed of light is often used in scientific calculations to understand vast distances in space. For example, when measuring how far stars or planets are from us, we use the speed of light to express these distances in terms of how long it takes light to travel.
average distance from Earth to Moon
The Moon is Earth's closest celestial neighbor, averaging a distance of about 384,400 kilometers from our planet. This distance can vary slightly since the Moon's orbit is not a perfect circle; it's more of an ellipse. Despite this variation, for most calculations, 384,400 km is considered a good average. Understanding this distance is crucial for various space missions and scientific studies about tides, eclipses, and other lunar phenomena.
distance calculations
Calculating distances using the speed of light provides a clear and simple way to understand enormous stretches of space. To find the distance from the Earth to the Moon in light seconds, you can use the formula:

\[\text{{Light seconds}} = \frac{{\text{{distance in kilometers}}}}{{\text{{speed of light}}}}\]

This means dividing 384,400 kilometers by 299,792 kilometers per second. Performing this calculation gives us:

\[\frac{{384,400}}{{299,792}} \approx 1.282\text{{ light seconds}}\]

This calculation shows that the Moon is about 1.282 light seconds away from Earth, which matches closely with option D (1.28 light seconds). By using light seconds, we translate vast distances into more comprehensible numbers, making astronomical distances easier to understand for everyone.

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Most popular questions from this chapter

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