How fast does light travel from sun to Saturn equation

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Homework Help Overview

The discussion revolves around calculating the time it takes for light to travel from the sun to Saturn, given the distance and the speed of light. The subject area includes concepts of speed, distance, and time in a physics context.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss various attempts to manipulate the relationship between speed, distance, and time. Some express confusion about the correct approach, while others suggest setting up equations based on known values. Questions arise regarding the logical process behind their calculations and the importance of systematic reasoning.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts on how to set up the equation correctly. Some guidance has been offered regarding the relationship between units and the variables involved, but there is no explicit consensus on the final approach yet.

Contextual Notes

Participants mention feeling lost and express the need for clarity on how to proceed with the calculations. There is an emphasis on avoiding random guessing and instead focusing on logical reasoning based on the relationships between the quantities involved.

_emmakala
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1. the distance between the sun and Saturn is approx. 8.9x10^8 mi. The speed of light is approx. 1.9x10^5 miles per second.
How long does it take light to travel from the sun to Saturn?
Answer in units of seconds.



Homework Equations





3. The Attempt at a Solution
I have tried multiplying the two, dividing the two, and adding the two, and converting. I am utterly lost, and would appreciate any help anyone could offer! :)
 
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Time * Speed = Distance

So:

Time = ?

_emmakala said:
I have tried multiplying the two, dividing the two, and adding the two, and converting.

I don't advise trying to get the answer randomly (by random, I mean, without logic)

There are simply wayyy toooo many options that it is very unlikely you will find the answer that way
(and what about when you don't have an answer sheet?)
 
Ok, so assuming I kinda understand now, would I set up the equation like T x 1.9x10^5miles/sec = 8.9x10^8 miles? Then divide the speed and the distance to get time?
 
It's like this: I'm 10 miles from town. I'm walking at 2 miles per hour. How many hours will it take me to walk 10 miles?
 
_emmakala said:
Ok, so assuming I kinda understand now, would I set up the equation like T x 1.9x10^5miles/sec = 8.9x10^8 miles? Then divide the speed and the distance to get time?

Your equation is correct. Your idea of dividing them is a correct one as well, but it is not clear where you got it from, so it is hard to tell if you found it in some systematic way (always preferred) or just by randomly juggling (which occasionally gives correct results).

Please elaborate on why you did it this way.
 
When you have no idea how to proceed, one thing to try is to look at the units of the things you know and the thing you are looking for. There will often be only one way to combine the things you know to get what you are looking for. Here, you know the speed (L/T), and the distance (L), and you are looking for the time (T) (with L being length and T being time, in whatever system of units you are using). How can you combine L/T and L in order to end up with T?
 

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