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$$ \begin{array}{l}{\text { (II) A light-year is the distance light travels in one year }} \\ {\text { (at speed }=2.998 \times 10^{8} \mathrm{m} / \mathrm{s} ) \text { . (a) How many meters are }} \\ {\text { there in } 1.00 \text { light-year? }(b) \text { An astronomical unit }(\mathrm{AU}) \text { is }}\end{array} $$$$ \begin{array}{l}{\text { the average distance from the Sun to Earth, } 1.50 \times 10^{8} \mathrm{km} \text { . }} \\ {\text { How many } \mathrm{AU} \text { are there in } 1.00 \text { light-year? (c) What is the }} \\ {\text { speed of light in } \mathrm{AU} / \mathrm{h} \text { ? }}\end{array} $$

A) $9.46 \times 10^{15} m$B) $6.31 \times 10^{4} A U$C) 7.20 $\mathrm{AU} / \mathrm{hr}$

Physics 101 Mechanics

Chapter 1

Introduction, Measurement, Estimating

Physics Basics

University of Michigan - Ann Arbor

Simon Fraser University

University of Winnipeg

McMaster University

Lectures

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

09:56

In mathematics, algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

05:55

(II) A light-year is the d…

07:13

$$ \begin{array}{l}{\text …

0:00

A light-year is the dista…

(II) A $\textbf{light-year…

02:18

01:28

(a) A light-year, the dist…

02:40

Distances in space are oft…

01:21

The speed of light is $3.0…

01:40

01:14

A light year is the distan…

01:06

(II) A light-year is a mea…

02:31

One light year is defined …

So here we need to find the distance of one light year in meters the distance of one light year in astronomical units. And then how many astronomical units per hour is light traveling? So we can say for party toe, find the distance and meters. We have one points there. 1.0 Lightyear. Ah, this will be multiplied. Well there. This will equal Uh, 2.9998 times 10 to the eighth meters per second. This was the speed of light and then multiplied by the time the number of seconds in a year. So this will be 3.156 times 10 to the seven seconds and in one year. And this is giving us 9.46 times 10 to the 15th meters and then for part B when we want to find ah, how many astronomical units in one light year? Ah, we can say that one light year again is going to be equal to 9.46 times 10 to the 15 meters and then for every one astronomical units, there are one point five times, uh, 10 to the 11th meters and this is giving US 6.31 times 10 to the fourth astronomical units. And for part C, we can say that 2.998 times 10 to the eighth meters per second. That would be the speed of light. Ah, this will be multiplied by again one astronomical unit for every 1.5 times 10 to the 11th meters. And then we'll multiply however many seconds in one hour. So 3600 seconds for one hour. And we find that the speed of light see in astronomical units per hour would be 7.20 astronomical units per hour. That is the end of the solution. Thank you for watching.

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