1. Exponents and Scientific Notation: (a) Find the following without the use of a calculator:
1. x3.x5
2. 107.10-3
3. 0.004 x 32,000 x 0.6 6400 x 3000 x 0.08
4. (2.5 x 10-6)(4 x 106) 5. (6 x 106)(4 x10-5)4
(8 x 102)2(2 x 10-4)3
Physics 101 Math Review
(b) Express the following as powers of 10 (i. e., scientific notation)
1. 32,600 4. 1006
2. 0.831 5. 0.00000000019
3. 0.0002
2. Trigonometry:
(a) You are given a right triangle with one acute angle of 25o and the hypotenuse of length 10 cm. Find the other acute angle and the lengths of the other two sides.
(b) Figure ABCD below is a rectangle with the side AB 20.0 m long and angle DAC= 39o. Find the lengths of diagonal AC and side AD.
BC
A
D
3. Algebra: Given the following equations, solve for the indicated unknown.
(a) 5280 = 44t : find t (b) 3 = a/2 + a2 : find a
(c) vf2 = vo2 + (1/2)at2 : find a if vf = 0, vo = 20, and t = 4
(d) F = mv2/r : find r if F = 455, m = 94, and v = 22
(e) KE = (1/2)mv2 ; find KE if m = 9.1x10-31 and v = 3x106
(f) T=(1/(2π)) (1.5/9.8)1/2 : find T
4. Prefixes and numbers
(Be comfortable with everything from nano- up to giga: n, μ, m, k, M, G)
(a) Express 3.58 milligrams (mg) numerically in grams (g)
(b) Express 2.3 micrograms (μg) numerically in grams
(c) Express 15,700,000 newtons (N) numerically in meganewtons (MN)