Calculating Gravitational Force with Scientific Notation

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Homework Help Overview

The discussion revolves around calculating gravitational force using scientific notation, specifically focusing on the expression involving constants and their manipulation in a fraction format.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the process of manipulating numbers in scientific notation, including the multiplication of constants and the handling of exponents. There are questions about the correctness of the initial calculations and the squaring of the denominator.

Discussion Status

Some participants are exploring different methods to arrive at the correct answer, while others are questioning specific steps taken in the calculations. A participant has indicated they resolved their confusion, but there is no explicit consensus on the final answer among all contributors.

Contextual Notes

There is a focus on ensuring proper handling of scientific notation and the squaring of terms, with some participants expressing uncertainty about their calculations and the steps involved.

Moninder
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I need to write this in scientific notation:

(6.67x10^-11)(5.97x10^24)
________________________
( 6.38x10^6)^2

Is
6.24x10^17 right?
 
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Moninder said:
I need to write this in scientific notation:

(6.67x10^-11)(5.97x10^24)
________________________
( 6.38x10^6)^2

Is
6.24x10^17 right?

Not correct.

Please, explain your workings.
 


I did the following:
First took all the numbers, with the x10^# and solved it to 6.24
Now I did the same to the x10^# and got 10^17
 


I figured out the exponents to be x10^1
But can't get the number right
 


Moninder said:
I figured out the exponents to be x10^1
But can't get the number right
Did you square 6.38×106 in the denominator?

It looks as if you didn't.
 


Ok thank you, I figured it out 9.78x10^0 which is the answer
 

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