How Do You Rearrange the Equation v = sqrt(2kt/m) to Solve for M?

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Homework Help Overview

The discussion revolves around rearranging the equation v = sqrt(2kt/m) to solve for the variable m. The subject area pertains to algebraic manipulation and equation rearrangement.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants suggest starting by squaring both sides of the equation. There are discussions about the interpretation of the equation, specifically whether it is v = sqrt(2kt/m) or v = sqrt(2kt)/m, leading to different approaches. Some participants point out mistakes in the reasoning of others regarding the steps taken to rearrange the equation.

Discussion Status

The discussion is active, with participants providing guidance on how to approach the problem. There is a recognition of different interpretations of the equation, and some participants are questioning the clarity of the original equation setup.

Contextual Notes

There is a noted need for clarity in the equation's formatting, as different interpretations could lead to different methods of rearrangement. Participants emphasize the importance of using parentheses to avoid ambiguity.

jim the duke
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Just need some help rearranging this equation to make M the subject, thanks

v = sqrt 2kt / m
 
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Start by squaring both sides.
 
sqrt v = sqrt 2kt / m
 
m = 2kt / v^2
 
jim the duke said:
Just need some help rearranging this equation to make M the subject,
v = sqrt 2kt / m
rock.freak667 said:
Start by squaring both sides.

jim the duke said:
sqrt v = sqrt 2kt / m
I see two mistakes in what you did:
1. rock.freak667 said to square both sides (not take the square root of both sides).
2. He said to do it to both sides, not just the left side.
 
jim the duke said:
Just need some help rearranging this equation to make M the subject, thanks

v = sqrt 2kt / m
If the problem is v= sqrt(2kt/m) then, yes, start by squaring both sides to get rid of the square root.

If the problem is v= sqrt(2kt)/m, which is the way I first interpreted it, start by multiplying both sides by m.

Please use parentheses to make your meaning clear!
 

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