The drag force $$$F_{D}$$$ acting on an object falling through air is given by $$\[ F_{D}=\frac{1}{2} C \rho A v^{2} \]$$ where $$$A$$$ is the cross-sectional area of the object, $$$v$$$ is the velocity of the object in the air, $$$\rho$$$ is the density of the air and $$$C$$$ is a constant called the drag coefficient. Use SI base units to show that the drag coefficient has no units.

Physics

IGCSE&ALevel

CAIE

Exam No：9702_s24_qp_21 Year：2024 Question No：1(a)

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Knowledge points:

1.2.1 recall the following SI base quantities and their units: mass (kg), length (m), time (s), current (A), temperature (K), amount of substance (mol)

1.2.2 express derived units as products or quotients of the SI base units and use the named units listed in this syllabus as appropriate

1.2.3 use SI base units to check the homogeneity of physical equations

1.2.4 use the following prefixes and their symbols to indicate decimal submultiples or multiples of both base and derived units: pico (p), nano (n), micro (μ), milli (m), centi (c), deci (d), kilo (k), mega (M), giga (G), tera (T)

1.2.5 understand and use the conventions for labelling graph axes and table columns as set out in the ASE publication Signs, Symbols and Systematics (The ASE Companion to 16–19 Science, 2000)

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