34) 923 m3 = ________ yd3 = ________ gal
Answer: 1210 yd3 = 243,000 gal
35) 55.0 gal = ________ L = ________ ft3
Answer: 208 L = 7.36 ft3
3
, Applied Physics, 12e (Ewen/Schurter/Gunderson)
Chapter 2 Problem Solving
1) What is the difference between a subscript and an exponent?
Answer: An exponent is a mathematical operation. A subscript is used to define a variable a
specific feature or component of a variable.
2) What is the difference between a formula and a working equation?
Answer: A formula is a basic equation, usually expressed in letters and numbers. A working
equation is created when the desired variable is isolated on one side of the equation.
3) What is the purpose of estimation when problem solving?
Answer: Estimating the expected answer in problem solving can serve as a check to make sure
the answer is correct.
4) Solve for m in the formula F = ma.
Answer: m = F/a
5) Solve for t in the formula s = 1/2 (vf + vi)t.
Answer: t = 2s / (vf + vi)
6) Solve for vf in the formula s = 1/2 (vf + vi)t.
Answer: vf = (2s/t) - vi
7) Solve for h in PE = mgh.
Answer: h = PE / mg
8) Given V= πr2h, if r = 5.0 cm and V = 250 cm2, what is h?
Answer: h = 3.2 cm
9) Given A = 1/2 bh, if b = 10.0 cm and h = 12.2 cm, what is A?
Answer: A = 61.0 cm2
10) A cone has a volume of 315 cm3 and a radius of 7.50 cm. What is its height?
Answer: h = 5.35 cm
11) A right triangle has a side of 82.4 mm and a side of 19.6 mm. Find the length of the
hypotenuse.
Answer: 84.7 mm
12) Given a cylinder with a radius of 14.4 cm and a height of 16.8 cm, find the lateral surface area.
Answer: 1520 cm2
4
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