1–1. Represent each of the following quantities with
combi- nations of units in the correct SI form, using
an appropriate prefix: (a) GN mm, (b) kg > mm, (c)
N>ks2 , (d) kN> ms.
SOLUTION
a) GN # mm = (109)N(10-6)m = 103 N # m = kN # m Ans.
3 -6 9
b) kg>mm = (10 )g>(10 )m = 10 g> m = Gg>m Ans.
c) N>ks2 = N>(103 s)2 = 10-6 N>s2 = mN>s2 Ans.
d) kN>ms = (103)N>(10-6)s = 109 N> s = GN>s Ans.
,
Ans:
a) kN
m
b) Gg>
m
c) µN>
s2
d) GN>
s
,
1–2. Evaluate each of the following to three signifi-
cant figures, and express each answer in SI units
using an appropriate prefix: (a) (425 mN)2, (b) (67
300 ms)2, (c) 3723 (106 )4 1> 2 mm.
SOLUTION
a) (425 mN)2 = 3425(10-3 ) N 4 2 = 0 .181 N2 Ans.
b) (67 300 ms)2 = 367.3(103 )(10-3 ) s 4 2 = 4.53(103 ) s2 Ans.
c) 3723(106 ) 41>2 mm = 3723(106 ) 4 1>2(10-3 ) m = 26.9 m Ans.