Units from Operations: 1-kg/s^2, 2-m^3/s, 3-m^2, 4-coul^2/s

[jaybreezy03]

Express in the simplest form the units resulting from the following. (1) [kg/m^2][m^2/sec], (2) [m^3/kg][kg^2/sec], (3) [m^5/sec^2] / [m^3/sec^3], (4) [(kg^2 x coul^2)/(sec^3)] / [(coul x kg)/(sec^2)]

 

[Jameson]

Factor label method. Draw them out like this to see the cancellation.

For example.

$$\frac{kg}{m^2} \times \frac{m^2}{sec}=\frac{kg}{sec}$$

 

[kyle8921]

1) The resulting units from (1) would be kg/sec, as the m^2 terms cancel out.
2) The resulting units from (2) would be m/sec, as the kg terms cancel out.
3) The resulting units from (3) would be m^2/sec, as the m^5 terms cancel out and the sec^2 terms cancel out.
4) The resulting units from (4) would be kg/coul, as the kg^2 terms cancel out and the sec terms cancel out.