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Dimensional Analysis

100

The dimensions of velocity are derived from which two basic quantities?    

L/T

200

If force has dimensions of mass x acceleration, what are the dimensions of force in terms of fundamental quantities?                    

M L T^-2 (kg m/s²) (F=ma)

300

What are the dimensions of density in terms of fundamental quantities?    

M L^-3  (kg/m³) 

400

What are the dimensions of pressure in terms of fundamental quantities?    

M L^-1 T^-2 (kg/(m s²))

500

Is the following equation dimensionally consistent

s^2+v^2 t^2+a?

L^2+L^2/T^2 T^2+L/T^2

=L^2+L^2+L/T^2 

So no, it's not

Magnitudes Estimates

100

What has the distance of 10,000 km? The distance across New york, China, the earth, or the sun?                    

           The earths diameter is 12,742 km

200

Is the mass of the sun 10,000 kg, 10⁹ kg, 10²¹ kg or 10³⁰ kg ?

10³⁰ kg

300

What has a distance of 384,400 km? The distance to the sun, the moon, the closest star, Madagascar?                    

The moon

400

What is the mass of an average car?                    

1,000 kg

500

How big is an atom in meters?

10^-10 m

Unit Conversion

100

The volume of Earth is on the order of 10²¹ m³. (a) What is this in cubic kilometers (km³)? (b) What is it in cubic miles (mi³)? (c) What is it in cubic centimeters (cm³)?                    

10¹² km³, 2.4 x10¹¹ mi³, 10²⁷ cm³

200

The speed limit on some interstate highways is roughly 100 km/h. (a) What is this in meters per second? (b) How many miles per hour is this?                    

27.78 m/s, 62.14 mph

300

American football is played on a 100-yd-long field, excluding the end zones. How long is the field in meters? (Assume that 1 m = 3.281 ft.)                    

91.44 m

400

Mount Everest, at 29,028 ft, is the tallest mountain on Earth. What is its height in kilometers? (Assume that 1 m = 3.281 ft.)                    

8.84 km

500

The density of aluminum is 2.7 g/cm³. What is the density in kilograms per cubic meter?

2700 kg/m³

Prefixes

100

This prefix means one thousand

kilo or k

200

What prefix would you use for 10⁶?                  

mega or M

300

This prefix represented by G stands for what number?

one billion  (giga)

400

What prefix would you use for 10^-6?

micro or mu

500

What prefix means one trillionth?

pico or p

San Diego

100

This beach has the best waves in San Diego?

any beach

200

This historic ship, now a museum, was commissioned in 1904

The midway

300

This annual event in San Diego is held in July?

Comic-Con

400

This Spanish Explorer is credited with naming San Diego after his ship, the San Diego?                    

Sebastin vizcaino

500

San Diego Mesa College is located on the unceded ancestral territory of which indigenous inhabitants?

Kumeyaay People