Units of Calculation: Conversion Questions

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The discussion focuses on calculating units resulting from various physics equations. Participants analyze specific calculations involving units of length, time, and mass. For example, the first calculation (3cm/s x 25s) results in cm, while the third (15m/s² x 2s) yields m/s³. The conversation emphasizes the importance of treating units as algebraic quantities to simplify calculations. Overall, the thread seeks clarity on unit conversions and proper dimensional analysis in physics problems.
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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: \frac{[L]}{[T]} \times [T]
 
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