1

TEST IENGINEERING SCIENCES I (SSD 11103)

By john jabaraj

Name: Class : ....

1.a} i) Describe the use of prefix.

ii) Describe how to prove an equations homogeneity. {1m}

b}The specification for Makcik Oranges head are stated here. Convert each value into;

i) radius : 0.052m = _________ feet

ii) mass : 603000000g = _________ cg

iii) volume: 0.0236cm3 = _________ m3{3m}

c} The gravitational force( F ) between two masses( ma & mb ) depends inversely to the distance( r ) squared. The symbol G is a constant with dimension: {dimension of force = M L T -2}

F F = G ma mb

r 2

r

Determine the; i) dimension of constant Gii) S.I unit of the constant G{1m}

2.a}Explain the difference between vectors and scalars. {0.5m}

b}For these vectors;

Determine: i} 1/3A + B and sketch it.ii} B C iii} B x C

v} Prove if A B = B A is true or false. {4m}

d}The velocity of a rolling ball is, v = 12i + 5j 8k. Its displacement after a certain time is found to be . s = 30i + 12.5j 20k. Calculate this lapse of time if the motion equation is v = s / t. {0.5m}

3. a}Makcik Murtabak misses the bus and tries to run after it. The bus is traveling at a constant velocity of 7.7m/s. The makciks initial velocity is 0.1m/s and she keeps on accelerating at 0.22m/s2. Determine the;

a = 0.22m/s2 i) type of the bus motion.

0.1m/s v ii) type of the makciks motion.

iii) displacement of the bus in 11s.

7.7m/s iv) displacement of the makciks in 11s. {2m}

b} The graph below shows how Cik Siti Wan Kembang walks to the Pasar Ramadhan to buy some cendol.

displacement,s (m)

a) analyze; area = 140 slope =

70 {2m}

time,t(s) b) velocity at t = 60s

20 40 60 80 100

d}During the Gulf War, Mr. President Saddam Hussein launched a missile straight up into the air with a velocity of 222m/s. How high did the missile go?

{1m}

EQUATIONS

Unit & Dimensionadd prefix = factorremove prefix = x factor

Scalar & VectorlAl = {Ax}2 +{Ay}2 +{Az}2

tan = Ay / Ax

nA = n(Ax)i + n(Ay)j + n(Az)k

A + B = (Ax+Bx)i + (Ay+By)j + (Az+Bz)k

A B = (Ax)(Bx) + (Ay)(By) + (Az)(Bz)

A x B = i j k = + ( - )i

Ax Ay Az - ( - )j

Bx By Bz + ( - )k

A B = /A/ /B/ cos

/A x B/ = /A/ /B/ sin

Kinematics in One-Dimension

v = s / t

a = (v u) / t

v = u + at

s = ut + at2

s = (u + v) t

v2 = u2 + 2as

area = (y-axis) x (x-axis)

slope = (y-axis) / (x-axis)

gravitational acceleration, g = -9.81m/s2

1 kilogram(kg) = 2.2 pounds(lb)

1 hour(hr) = 60minutes(min) = 3600seconds(s)

PREFIXES FOR SI UNITS

FACTOR

PREFIX

SYMBOLS

FACTOR

PREFIX

SYMBOLS

1024

yotta-

Y

10-24

yocto-

y

1021

zetta-

Z

10-21

zepto-

z

1018

exa-

E

10-18

atto-

a

1015

peta-

P

10-15

femto-

f

1012

tera-

T

10-12

pico-

p

109

giga-

G

10-9

nano-

n

106

mega-

M

10-6

micro-

103

kilo-

k

10-3

milli-

m

102

hecto-

h

10-2

centi-

c

101

deka-

da

10-1

deci-

d

DIMENSION & SI UNITS

BASIC QUANTITY

DIMENSION

(quantity symbol)

S.I. METRIC SYSTEM

(unit symbol)

LENGTH

L

m

MASS

M

kg

TIME

T

s

TEMPERATURE

Q

K

CURRENT

I

A

NO. OF ATOMS

N

mol

LUMINOUS INTENSITY

?

cd

ma

mb

B = -2i + 4j

C = 1i 3j +7k

A = 15i + 3j