Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:1-1. Round off the following numbers to three significant
figures: (a) 58 342 m, (b) 68.534 s, (c) 2553 N, and (d) 7555 kg.
*1-12. Convert each of the following and express the
answer using an appropriate prefix: (a) 175 lb/ft to
kN/m³, (b) 6 ft/h to mm/s, and (c) 835 lb · ft to kN •m.
1-2. Wood has a density of 4.70 slug/ft. What is its density
1-13. Convert each of the following to three significant
figures. (a) 20 lb • ft to N m, (b) 450 lb/ft to kN/m², and
(c) 15 ft/h to mm/s.
expressed in SI units?
1-3. Represent each of the following combinations of
units in the correct SI form: (a) kN/µs (b) Mg/mN, and
(c) MN/(kg • ms).
1-14. Evaluate each of the following and express with an
appropriate prefix: (a) (430 kg), (b) (0.002 mg), and
(c) (230 m).
*1-4. Represent cach of the following combinations of
units in the correct SI form using an appropriate prefix:
(a) m/ms, (b) ukm (c) ks/mg, and (d) km µN.
1-15. Determine the mass of an object that has a weight
of (a) 20 mN, (b) 150 kN, (c) 60 MN. Express the answer to
three significant figures.
1-5. Represent each of the following quantities in the
correct SI form using an appropriate prefix: (a) 0.000 431 kg,
(b) 35.3(10) N, (c) 0.005 32 km.
*1-16. What is the weight in newtons of an object that has
a mass of: (a) 10 kg, (b) 0.5 g, (c) 4.50 Mg? Express the
result to three significant figures. Usc an appropriate prefix.
1-6. If a car is traveling at 55 mi/h, determine its speed in
kilometers per hour and meters per second.
1-17. If an object has a mass of 40 slugs, determine its
mass in kilograms.
1-7. The pascal (Pa) is actually a very small unit of
pressure. To show this, convert 1 Pa = 1 N/m? to lb/ft?.
Atmosphere pressure at sca level is 14.7 lb/in?. How many
pascals is this?
1-18. Using the SI system of units, show that Eq. 1-2 is a
dimensionally homogeneous equation which gives F in
newtons. Determine to three significant figures the
gravitational force acting between two spheres that are
touching each other. The mass of each sphere is 200 kg and
the radius is 300 mm.
*1-8. The specific weight (wt./vol) of brass is 520 lb/ft3.
Determine its density (mass/vol) in SI units. Use an
appropriate prefix.
1-9. A rocket has a mass 250(10) slugs on earth. Specify
(a) its mass in SI units, and (b) its weight in SI units. If the
rocket is on the moon, where the acceleration due to
gravity is gm = 5.30 ft/s?, determine to three significant
figures (c) its weight in SI units, and (d) its mass in SI units.
1-19. Water has a density of 1.94 slug/ft. What is the
density expressed in SI units? Express the answer to three
significant figures.
*1-20. Two particles have a mass of 8 kg and 12 kg,
respectively. If they are 800 mm apart, determine the force
of gravity acting between them. Compare this result with
the weight of each particle.
1-10. Evaluate each of the following to three significant
figures and express each answer in SI units using an appropriate
prefix: (a) (0.631 Mm)/(8.60 kg)², (b) (35 mm)² (48 kg)³.
1-21. If a man weighs 155 lb on earth, specify (a) his mass
in slugs, (b) his mass in kilograms, and (c) his weight in
newtons. If the man is on the moon, where the acceleration
1-11. Evaluate each of the following to three significant
figures and express each answer in SI units using an appropriate
prefix: (a) 354 mg(45 km)/(0.0356 kN), (b) (0.004 53 Mg)
(201 ms), (c) 435 MN/23.2 mm.
due to gravity is gm = 5.30 ft/s?, determine (d) his weight
in pounds, and (e) his mass in kilograms.
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