In SI units, force is measured in newtons, with 1 N = 1 kg · m/s2. Which of the following combinations of units can also be used to measure force?
1
kg · m4/(s2 · cm3)
g · cm2/s
kg · miles/(minutes)2
g · cm/s2
g · m/s
There are three possible answers
OMG, this is in 2009 and now were in 2020. This was 11 years ago!!
which of those reduce to mass*distance/ti;me^2
To determine which combinations of units can also be used to measure force, we need to check if the units are consistent with the definition of force, which is 1 N = 1 kg · m/s^2.
Let's go through each given combination of units:
1. kg · m^4/(s^2 · cm^3):
This combination is not consistent with the definition of force because the units for meters (m) are raised to the power of 4, while the units for centimeters (cm) are raised to the power of 3. Additionally, the units for kilograms (kg) and seconds (s) are correct.
2. g · cm^2/s:
This combination is not consistent with the definition of force because the units of grams (g) should be converted to kilograms (kg). Therefore, it should be kg · cm^2/s.
3. kg · miles/(minutes)^2:
This combination is not consistent with the definition of force because the units for distance are in miles instead of meters. Therefore, it should be kg · m/(s^2).
4. g · cm/s^2:
This combination is consistent with the definition of force because the units for grams (g) are converted to kilograms (kg), and the units for centimeters (cm), seconds (s), and squared seconds (s^2) are correct.
5. g · m/s:
This combination is not consistent with the definition of force because the units for grams (g) should be converted to kilograms (kg). Therefore, it should be kg · m/s.
Based on the analysis, the only combination of units that can also be used to measure force is g · cm/s^2.