978-0133915426 Chapter 1 Part 2

subject Type Homework Help
subject Pages 9
subject Words 1223
subject Authors Russell C. Hibbeler

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page-pf1
*1–12.
Evaluate each of the following to three significant figures and
express each answer in SI units using an appropriate prefix:
(a) (b)
(c) (2.68 mm)(426 Mg). 128 ms210.0458 Mm2>1348 mg2,1684 mm2>143 ms2,
SOLUTION
684(10-6)m
15.9(10-3)m
page-pf2
1–13.
The density (mass volume) of aluminum is .
Determine its density in SI units. Use an appropriate prefix.
5.26 slug>ft3
>
SOLUTION
5.26 slug>ft3=a5.26 slug
ft3ba ft
0.3048 m b3a14.59 kg
1 slug b
page-pf3
1–14.
Evaluate each of the following to three significant figures and
express each answer in SI units using an appropriate prefix:
(a) (212 mN)
2
, (b) (52800 ms)
2
, and (c) [548(10
)]
1>2 ms.
SOLUTION
2=
-3
2=
2=
-3
2
page-pf4
1–15.
SOLUTION
Ans.=7.41
A
10
-6
B
N=7.41 mN
=66.73
A
10
-12
B
c200(200)
0.6
2
d
F=Gm
1
m
2
r
2
N=am
3
kg
#
s
2
bakg
#
kg
m
2
b=
kg
#
m
s
2
(Q.E.D.)
r
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.
page-pf5
1 6
© 2016 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
*1–16.
The pascal (Pa) is actually a very small unit of pressure.To
show this, convert to .Atmospheric
pressure at sea level is in
2
.How many pascals is this?14.7 lb>lb>ft
2
1Pa=1N>m
2
SOLUTION
101 kPa
page-pf6
© 2016 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently
exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.
1–17.
Water has a density of 1.94 slug
>
ft
3
. What is the density
expressed in SI units? Express the answer to three
significant figures.
SOLUTION
page-pf7
1 8
1–18.
and (c) 435 MN 23.2 mm.>
(a) 354 mg(45 km) (0.0356 kN), (b) (0.004 53 Mg) (201 ms),>
SOLUTION
Ans
.
b)
Ans
.
c) Ans
.
435 MN>23.2 mm =
435
A
10
6
B
N
23.2
A
10
-3
B
m
=
18.75
A
10
9
B
N
m=18.8 GN>m
=0.911 kg
#
s
(0.00453 Mg)(201 ms) =
C
4.53
A
10
-3
BA
10
3
B
kg
DC
201
A
10
-3
B
s
D
=0.447 kg
#
m>N
=
0.447
A
10
3
B
g
#
m
N
C
354
A
10
-3
B
g
DC
45
A
10
3
B
m
D
Evaluate each of the following to three significant figures and
express each answer in Sl units using an appropriate prefix:
Ans:
0.447 kg #m>N
0.911 kg #s
18.8 GN>m
page-pf8
1 9
1–19.
SOLUTION
Ans.W=
C
4.6248
A
103
B
N
D
¢
1lb
4.4482 N
=1.04 kip
W=mg =(471.44 kg)
A
9.81 m>s2
B
=4.6248
A
103
B
N
m=rV=
¢
2.45(103)kg
m3
A
0.1924 m3
B
=471.44 kg
V=pr2h=p
A
0.35
2m
B
2(2 m) =0.1924 m3
Aconcrete column has a diameter of 350 mm and a length of
2m. If the density of concrete is
determine the weight of the column in pounds.
2.45 Mg>m3,1mass>volume2
1.04 kip
page-pf9
*1–20.
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 due to gravity is determine
(d) his weight in pounds,and (e) his mass in kilograms.
g
m
=5.30 ft>s
2
,
page-pfa
1–21.
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.
SOLUTION
-12
3
2
F=Gm
1
m
2
r
2

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