**Text:**"Light takes about 2.6 seconds to travel to the moon and back from Earth. How far away is the moon?"**Explanation:**To calculate the distance from the Earth to the Moon using the time taken by light, we can use the speed of light, which is approximately 299,792 kilometers per second (km/s). The total round-trip time for light is given as 2.6 seconds.1. Calculate the one-way time by dividing the round-trip time by 2: \[ \text{One-way time} = \frac{2.6 \text{ seconds}}{2} = 1.3 \text{ seconds} \]2. Use the speed of light to find the distance: \[ \text{Distance to the Moon} = \text{Speed of light} \times \text{One-way time} \] \[ \text{Distance to the Moon} = 299,792 \text{ km/s} \times 1.3 \text{ s} \approx 389,729.6 \text{ km} \]Thus, the Moon is approximately 389,729.6 kilometers away from Earth.

Given time taken by the light to travel the distance from earth to moon and back =2.6 sec so time taken to go to moon=2.62=1.3 sWe know that distance is given by distance=speed*timespeed of light=3*108ms-1distance=3*108*1.3=3.9*108 mso distance of the moon is 3.9*108 m

Answered: Light takes about 2.6 seconds to travel…

Science

Physics

Light takes about 2.6 seconds to travel to the moon and back from earth. How far away is the moon?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Text:**

"Light takes about 2.6 seconds to travel to the moon and back from Earth. How far away is the moon?"

**Explanation:**

To calculate the distance from the Earth to the Moon using the time taken by light, we can use the speed of light, which is approximately 299,792 kilometers per second (km/s). The total round-trip time for light is given as 2.6 seconds.

1. Calculate the one-way time by dividing the round-trip time by 2:
\[
\text{One-way time} = \frac{2.6 \text{ seconds}}{2} = 1.3 \text{ seconds}
\]

2. Use the speed of light to find the distance:
\[
\text{Distance to the Moon} = \text{Speed of light} \times \text{One-way time}
\]
\[
\text{Distance to the Moon} = 299,792 \text{ km/s} \times 1.3 \text{ s} \approx 389,729.6 \text{ km}
\]

Thus, the Moon is approximately 389,729.6 kilometers away from Earth.

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