Please Note: It may not always be possible to include the necessary special characters, superscripts, subscripts, etc. in e-mail responses to this group of exercises. We suggest that you discuss this matter with your professor/class and decide upon a system for indicating such characters. You may cut/paste some characters and/or Greek letters from Microsoft Word, using the Insert menu. Alternatively, we suggest that you agree upon abbreviations for or spell out symbols, Greek letters, or characters and indicate superscripts and subscripts by using "sup", "sub", or up/down carats.

Obtain the derived SI units for the quantities defined by the following expressions:

1			Momentum: p = Mv Need a Hint?
2			Kinetic energy: KE = Mv2/2 Need a Hint?
3			Distance: d = at2/2 Need a Hint?
4			Force: F = Ma Need a Hint?

Determine if the following equations are dimensionally correct:

5			F = Mv/t (see 4 above) Need a Hint?
6			a = v2/2d Need a Hint?
7			v = at2 - at Need a Hint?
8			KE = Mad (see 2 above) Need a Hint?

A car travels 900 km in 15.0 h and consumes 75.0 liter of gasoline that costs $24.00.

9			How far can this car travel on 5.00 liters of gas? Need a Hint?
10			What would gasoline cost for a 2000 km trip? Need a Hint?
11			What was the distance rate of consumption of gasoline? Need a Hint?
12			What was the time rate of consumption of gasoline? Need a Hint?
13			What was the time rate of change of position? Need a Hint?

A solid sphere has a mass of 2.107 kg and a radius of 0.500 m. Determine the following to the correct number of significant figures:

14			Surface area: A = 4πr2 Need a Hint?
15			Volume: V = 4πr3/3 Need a Hint?
16			Mass density: ρ = m/V Need a Hint?

Make the following conversions:

17			40.0 mi/h to meters per second Need a Hint?
18			200 in2 to square centimeters Need a Hint?
19			10.0 m/s to miles per hour Need a Hint?
20			100 km to inches Need a Hint?

Perform the indicated operations and express your answer in scientific notation to the correct number of significant figures:

21			1.20 × 104/4.0 × 10-3 Need a Hint?
22			110.02 × 0.025 Need a Hint?
23			102.56 + 0.0382 Need a Hint?
24			27.43 - 19.027 Need a Hint?