0000
Assignment
Week 1
PHYSICS FOR
ENGINEERS
Page | 1
Physics for Engineers
Prepared by: Engr. Norman R. Andres
Norman.andres@dlsau.edu.ph
Worksheet
1. Evaluate the following arithmetic expressions, expressing the answers in expanded form:
Given
1.
2.
3.
4.
6 × 10−3
8.2 × 101
1.53 × 10−4
3.6 × 102
Solution and Answer
3/500 = 0.006
8.2x10= 82
1.53/10000 153/100 =1.53
3.6x100= 360
2. Express the following numbers in scientific notation:
Given
1.
2.
3.
4.
0.0045
0.000098
700,000,000,000
0.00000000000000000001
Solution and Answer
4.5 x 10-3
9.8 x 10-5
7 x 1011
1 x 10-20
3. Express the following quantities of mass (in units of grams) using metric prefixes rather than
scientific notation:
Given
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
8.3 × 1018
3.95 × 1015
5.2 × 1012
16.7 × 109
3.6 × 106
8.2 × 103
1.53 × 102
5.6 × 10−2
8.5 × 10−3
6.53 × 10−6
3.9 × 10−9
8.5 × 10−12
6.3 × 10−15
2.6 × 10−18
Solution and Answer
8.3 ×1018 g = 8.3 E
3.91 ×1015 g = 3.91 P
5.2 ×1012 g = 5.2 T
16.7 ×109 g = 16.7 G
3.6 ×106 g = 3.6 M
8.2 ×103 g = 8.2 k
1.53 ×102 g = 1.53 h
5.6 × 10−2 g = 5.6 c
8.5 x 10-3 g = 8.5 m
6.53 ×10−6g = 6.53 μ
3.9 ×10 −9g = 3.9 n
8.5 ×10 −12g = 8.5 p
6.3 ×10 −15g = 6.3 z
2.6 ×10 −18g = 2.6 a
4. Complete the “index” of metric prefixes shown below
Page | 2
Physics for Engineers
Prepared by: Engr. Norman R. Andres
Norman.andres@dlsau.edu.ph
Solution and Answer
1018 1015 1012 109
106
103
102
Exa
Peta
Tera
gig
a
Meg
a
kilo
Hect
o
Cent
i
milli
Micr
o
nano
Pico
Femt
o
Atto
E
P
T
G
M
k
h
c
m
μ
n
p
f
a
Unit
s
10−2 10−3 10−6 10−9 10−12 10−15 10−18
5. How much charge is represented by 4,600 electron?
Solution and Answer
4600x -1.602 x10 -19C =7.369 x 10 -16C
6. Calculate the amount of charge represented by two million protons.
Solution and Answer
1.602 x 1019C
2x10^6 x 1.60 2x 1019C
= 3.204x10-13C
7. How many electrons are there in 2 × 10−5coulombs of charge? Express the answer in scientific
notation.
Answer
1.25 ×1014 electrons
8. To move charge q from point a to point b requires -30 J. Find the voltage drop 𝑣𝑎𝑏 if:
(a) q = 2 C
;
(b) q = – 6 C
Answer
a). -15 V
b). 5V
9. Find the power delivered to the element at t = 5 ms, if the current is 𝑖 = 5 𝑐𝑜𝑠 60𝜋𝑡 A and the
voltage is (a) v = 2i
𝑑𝑖
(b) 𝑣 = 2 𝑑𝑡
Answer
a) v = 2i v
b) b) v = 3 v
Page | 3
Physics for Engineers
Prepared by: Engr. Norman R. Andres
Norman.andres@dlsau.edu.ph