Square Root Practice: Multiplying by 1000NM/kJ

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Homework Help Overview

The discussion revolves around a practice problem related to square roots and unit conversions, specifically involving the multiplication by 1000 NM/kJ. The context suggests a focus on understanding unit relationships in physics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the reasoning behind multiplying by 1000 NM/kJ, with one suggesting it is a units conversion. Questions arise regarding the use of different notations for meters and joules, indicating potential confusion in the problem setup.

Discussion Status

The discussion is ongoing, with participants questioning the clarity of unit representations and expressing confusion about the notation used in the problem. Some guidance on unit conversion has been provided, but multiple interpretations of the units are being explored.

Contextual Notes

There are concerns about inconsistent unit notation, such as the use of both "M" and "m" for meters, and the representation of joules. Participants note that these inconsistencies may affect understanding.

sandmanvgc
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Summary:: Why are you multiplying by 1000NM/kJ within square root?

Practice problem for FE

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sandmanvgc said:
Why are you multiplying by 1000NM/kJ within square root?
It's just a units conversion. Multiply by "1" whenever you want to convert from one set of units to another (and have the two sets of units in the numerator and denominator with appropriate multipliers to keep the fraction = 1):

$$1 = \frac{1000 N m}{1kJ}$$

Or in words, "1000 Newton-meters is equal to 1 kiloJoule" :wink:
 
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BTW, they appear to be using both "M" and "m" for meters. Or am I misinterpreting something?

1609185386665.png
 
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Yes, just as they use j and J for joules. Pure carelessness.
 
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mjc123 said:
Yes, just as they use j and J for joules. Pure carelessness.
That threw me off
 
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berkeman said:
BTW, they appear to be using both "M" and "m" for meters. Or am I misinterpreting something?

View attachment 275275

They are all over the place with units. They also have [25 + 273K] as if only the second term has units. Totally bizarre.
 

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