Question

Use dimensional analysis to carry out the following conversions. Useful conversion factors: - St prefixes - 1mi=1609.34 m - 1 cm =1ml

a) 3.337 g/cm³ =? kg/m
b) 65mi/hr= ? m/s
c) 5.2 L=7 m²

Answer 1

a) 3.337 g/cm³ = 3337 kg/m³, b) 65 mi/hr = 29.05 m/s, c) There is no valid conversion between 5.2 L and m².

Step-by-step explanation:

a) To convert 3.337 g/cm³ to kg/m, we can use the conversion factor 1 g/cm³ = 1000 kg/m³. Therefore, we can write:

3.337 g/cm³ * (1000 kg/m³ / 1 g/cm³) = 3337 kg/m³

So, 3.337 g/cm³ is equal to 3337 kg/m³.

b) To convert 65 mi/hr to m/s, we can use the conversion factor 1 mi = 1609.34 m and 1 hr = 3600 s. Therefore, we can write:

65 mi/hr * (1609.34 m/mi) / (3600 s/hr) = 29.05 m/s

So, 65 mi/hr is equal to 29.05 m/s.

c) To convert 5.2 L to m², we cannot directly convert liters to square meters because one is a unit of volume and the other is a unit of area. Therefore, there is no valid conversion between the two units.