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UNIVERSITI MALAYSIA PERLIS
DKT 113 – ENGINEERING PHYSICS
ASSIGNMENT 1
NAME
:
MATRIX NO. :
COURSE
:
(a)
State TWO (2) Derived Quantities with dimension and SI unit respectively.
[2 Marks /2 Markah]
(b)
A medical technologist draws 15cc of blood volume with a mass of 16g from a patient's.
Calculate the density of blood in MKS system.
[4 Marks /4 Markah]
(c)
Show that the expression given below is dimensionally correct, where;
T - period /tempoh
l - length / panjang
g - gravity/graviti
T = 2π
l
g
[4 Marks/4 Markah]
(d)
State TWO (2) :
(i)
base quantities with dimension and SI units respectively.
[2 marks]
(ii)
derived quantities with dimension and SI units respectively.
(e)
Blood flows with an average speed of 0.35 m/s in the human circulatory system. Calculate how
many miles does a blood cell travel in 1.0 h?
[4 marks]
(f)
Show that the expression given below is dimensionally correct, where;
v and u - velocity,
a - acceleration,
s - displacement,
t - time
s = ut +
1 2
at
2
[4 marks/ 4 Markah]
(g)
Define terms of derived quantity and unit.
[2 marks]
(h)
State THREE (3) :
(i)
base quantities with dimension and SI units respectively.
[3 marks]
(ii)
derived quantities with dimension and SI units respectively.
[3 marks]
(i)
The human heartbeat, as determined by the pulse rate, is normally about 60 beats/min. If the
heart pumps 75 mL of blood per beat, calculate volume of blood pumped in one week. State
your answer in cubic meter.
[4 marks]
(j)
Show that the expression given below is dimensionally correct, where;
v and
u - velocity,
a - acceleration,
s - distance,
T - period,
l - length
g - gravity.
(i)
v 2 = u 2 + 2as
(ii)
T = 2π
l
g
[8 marks]
(k)
With the aid of diagram, show the relationship between Cartesian and polar coordinates.
[2 Marks]
(l)
Ana and Lisa rides carousel horses and they are separated 2 m away from each other. Ana’s
horse is on the edge of the carousel which has a radius of 5 m. If Ana has a tangential speed of
0.96 ms-1, and assuming that the rides has a constant operational speed, calculate:
a. Ana’s angular speed in rad/s.
[2 Marks]
b. Lisa’s tangential speed, V.
[2 Marks]
c. Merry-go-round’s speed in revolution per second.
[2 Marks]
(m)

You are given three displacement vectors: A with magnitude 5.0 m in the direction of 75 o

below the negative x-axis, vector B , has an x-component of +3.5 m and a y-component of +6.0

m and vector C has magnitude of 2.5 m in the negative y-axis.
(i)

Find the vector D so that
   
2 A + B +C − D = (3.0 m) xˆ .
[5 marks]
(ii)

Calculate the magnitude of vector D .
[2 marks]
(n)
Define Newton’s First Law.
[2 marks]
(0)
Define force and balance force.
[2 Marks /2 Markah]
(p)
A force of 20.0 kgms-2 is applied at an angle of 45° to the horizontal on a 3.0 kg
block initially at rest on a frictionless surface as shown in Figure 1. Calculate:
(Given g = 9.8 ms-2)
(i)
Magnitude of the block’s acceleration.
[2 Marks / 2 Markah]
(ii)
Magnitude of the normal force.
[2 Marks / 2 Markah]
F
45°
Figure 1
Rajah 1
(q)
List THREE (3) examples of scalar and vector quantities respectively.
[3 Marks/3 Markah]
(r)
Consider three displacement vectors: 
A with magnitude 3.0 m in the direction of 50o below
 , has an x-component of +3.5 m and a y-component of -4.0 m
the negative x-axis, vector B
 has magnitude of 4.5 m in the positive y-axis.
and vector C
(i)
Find the vector

 =5.5m x .
 so that 
A−2 
BC−3
D
D
[5 Marks /5 Markah]
(ii)
.
Calculate the magnitude of vector D
[2 Marks/2 Markah]
(s)
List THREE (3) examples of scalar and vector quantities respectively.
[3 marks]
(t)

You are given three displacement vectors: A with magnitude 5.0 m in the direction of 60 o

below the negative x-axis, vector B , has an x-component of +2.5 m and a y-component of +6.0

m and vector C has magnitude of 2.5 m in the negative y-axis.
(iii)

Find the vector D so that

  
A +2 B +C − D = (3.0 m) xˆ .
[5 marks]
(iv)

Calculate the magnitude of vector D .
[2 marks]
(u)
Define terms of derived quantity and unit.
[2 Marks/Markah]
(v)
The human heartbeat, as determined by the pulse rate, is normally about 70 beats/min. If the
heart pumps 75 mL of blood per beat, calculate volume of blood pumped in one week. State
your answer in cubic meter.
[4 Marks/Markah]
(w)
Velocity , ν in energy is depends to the kinetic energy, K and mass, M where ν =2K a M b .
Determine a and b and state the final expression for the equation above.
[4 Marks/Markah]
(x)
A regional airline flight consists of two legs with an intermediate stop. The airplane flies 400
km due north from airport A to airport B. From there, it flies 300 km due east to its final
destination at airport C. Calculate:
i.
the plane's displacement from it's starting point.
ii.
[2 Marks/Markah]
the average velocity for the trip if the first leg takes 45 min and the second leg 30
min.
iii.
the average speed for the trip.
iv.
[1 Marks/Markah]
Explain why is the average speed not the same as the magnitude for the average
velocity.
[1 Marks/Markah]
[2 Marks/Markah]
(y)
A man walks from point A to point B as shown Figure 1. Calculate the man's displacement
relative to point A.
[5 Marks/Markah]
(d)
A force of 15.0 kgms-2 is applied at an angle of 45° to the horizontal on a 2.5 kg
block initially at rest on a frictionless surface as shown in Figure 2.0. Calculate:
(Given g = 9.8 ms-2)
(i)
Magnitude of the block’s acceleration.
[2 marks]
(ii)
Magnitude of the normal force.
[2 marks]
F
45°
Figure 2.0
Rajah 2.0
(b)
Consider two identical blocks A and B, one resting on a flat surface and the other resting on an
inclined plane respectively as shown in Figure 2.1. Explain the relationship between normal
force, N and weight, W for each block.
[4 Marks/Markah]
B
A
Figure 2.1
Rajah 2.1
(c)
A girl pushes a 25 kg lawn mower as shown in Figure 2c. If a force of 30N is applied at an
angle of 37º , calculate:
(Given g = 9.8 ms-2)
i) the acceleration of the mower
[2 Marks/Markah]
ii) the normal force exerted on the mower by the lawn.
[2 Marks/Markah]
F
θ
Figure 2c
(d)
The position of an object can be described using polar coordinates (r and θ) rather than
Cartesian coordinates (x and y).Shows how polar and Cartesian coordinates relate which each
other with the aid of diagram.
[2 Marks/Markah]
(e)
Ana and Lisa rides carousel horses and they are separated 2 m away from each other. Ana’s
horse is on the edge of the carousel which has a radius of 7 m. If Ana has a tangential speed of
0.96 ms-1, and assuming that the rides has a constant operational speed, calculate:
d. Ana’s angular speed in rad/s.
[2 Marks/Markah]
e. Lisa’s tangential speed, V.
[2 Marks/Markah]
f. Carousel horse’s speed in revolution per second.
[2 Marks/Markah]
d. Angular acceleration for Carousel horse's in 0.2 seconds.
[2 Marks/Markah]
(d)
Lisa rides carousel horses in one carnival before it slow down from 1.2 rev/sec to rest in 5.2
seconds. Lisa sit at a radius of 2.1 meters from the center of rotation. Calculate:
i) The initial angular velocity in rad/sec?
[2 Marks /2 Markah]
ii) The angular acceleration?
[2 Marks /2 Markah]
iii) Through what angle did Lisa turn during this time?
[2 Marks /2 Markah]
iv) The tangential acceleration of Lisa?
[2 Marks /2 Markah]
v) The distance did Lisa travel in this time?
[2 Marks /2 Markah]