Units of Calculation: Conversion Questions

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SUMMARY

The discussion focuses on unit conversions in physics, specifically how to derive resulting units from various calculations involving length, time, and mass. The calculations presented include multiplying and dividing units such as centimeters, meters, seconds, and grams. Key answers identified include that multiplying 3 cm/s by 25 s results in cm/s², while multiplying 15 m/s² by 2 s results in m/s³. The discussion emphasizes the importance of treating units as algebraic quantities for simplification.

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I have never been good at doing this in physics so I want to make sure I'm doping this right. The question asks:

What units would result from each of the following calculations?

a) 3cm/s x 25s
b) 4m2 ÷ 6s
c) 15m/s2 x 2s
d) 5m/s ÷ 3s
e) 3g ÷ 2cm3
f) 1.6kg/m2 ÷ 4m

This are what I think are the answers for some:

a) cm/s2
c) m/s3

The division ones I really I'm not sure. Please help.
 
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Ok with these it helps if you can turn the units into algebraic quantities and deal with them in that manner. So for part a) we have a length [L] divided by a time [T] then multiplied by a time [T]

can you simplify: [tex]\frac{[L]}{[T]} \times [T][/tex]
 

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