Physics 0100 Q1

Which expression has the same SI base units as pressure?

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The speed v of a liquid leaving a tube depends on the change in pressure  $\Delta P$  and the density  $\rho$  of the liquid. The speed is given by the equation above, where k is a constant that has no units. What is the value of n?

• 1/2

• 1

• 3/2

• 2

Suppose frequency, f, momentum, p, and velocity, v, were chosen as fundamental physical quantities having dimensions [f], [p] and [v], respectively. Deduce what would be the dimensions of the quantity mass.

• [f]/[v]

• [p]/[f]

• [p]/[v]

• [p][v]

Which unit can be expressed in base units as kgm²s^-2?

• joule

• newton

• pascal

• watt

The luminosity L of a star is given by  $L\ =\ 4\pi r^2\sigma T^4$  where r is the radius of the star, T is the temperature of the star and sigma is a constant with units W m^2 K^-4. What are the SI base units of L?

• kg m^2 s^-1

• kg m^2 s^-2

• kg m^2 s^-3

• kg m^2 s^-4

A top drug company has just invented a new colon drug. They can produce 1ml for $7.35. How much would it cost to produce 2 kiloliters of this colon drug?

• $1,000,000

• $2,500,000

• $14,700

• $14,700,000

A 2.0 m long solid copper cylinder has a cross-sectional area of 3.0 x10² mm² . What is its volume in cm³?

• 6000000

• 6

• 60

• 600

You would like to re-carpet your living room, which is 755 ft². The carpet you would like to buy is $8.75 per square meter. How much will it cost to purchase the carpeting? (1 ft = 12 in; 1 in = 2.54 cm)

• $886.54

• $613.74

• $19,000.13

• $65.83

How many meters do you travel in 37 minutes if your speed is 75.0 mi/h. (1 mile = 1.609 km)

• 0.74

• 7.44

• 74000

• 74416.25

Find the mass in pounds of 1.00 m³ of corn syrup (density of 1.38 g/cm³). (1 kg = 2.20462 lb)

• 3042

• 3.04 x 10³

• 3.042 x 10⁶

• 1.8 x 10³