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# A physics student conducts an experiment to study the energy of an

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A physics student conducts an experiment to study the energy of an

IN THE NAME OF ALLAH, THE MOST BENEFICIENT, THE MOST

MERCIFUL

Matric no: ___________________

Group no: ___________________

Name of lecturer: ______________

MATRICULATION CENTRE

INTERNATIONAL ISLAMIC UNIVERSITY OF MALAYSIA

MID SEMESTER EXAMINATION

SEMESTER III, 2005/2006

SUBJECT : PHYSICS II CODE : ESM 1224 DATE/DAY : 17/09/06 (SUNDAY) TIME : 10.00 AM 1.00 PM

INSTRUCTIONS TO CANDIDATES

DO NOT OPEN THIS QUESTION BOOKLET UNTIL YOU ARE TOLD TO

DO SO. ANSWER ALL QUESTIONS IN QUESTION BOOKLET.

For Examiner’s Use Part A: 20 Multiple Choice Questions Question Marks

Part B: 4 Subjective Questions PART A 20

PART B Information for candidates

1 20 o For PART A, answer in MCQ sheet

provided. 2 20

o For PART B, the intended number of 3 20 marks is given in brackets [ ] at the end

of each question or part question. 4 20

Total 100

This questions booklet consists of __ printed pages

ESM 1224 PHYSICS 2 SEMESTER I 2006/2007

PART A: MULTIPLE CHOICE QUESTIONS (20 MARKS)

1. Which one of the following graphs in figure 1 correctly represents

the restoring force F of an ideal spring as a function of the

displacement x of the spring from its unstrained length?

D A B C

Figure 1

2. Four simple pendulums are shown in figure 2. The lengths of the

pendulums are drawn to scale, and the masses are either m or 2m,

as shown. Which one has the smallest angular frequency of

oscillation?

D A B C

Figure 2

3. An object on a spring is oscillating in simple harmonic motion.

Suddenly friction appears and causes the energy of the system to

be dissipated. The system now exhibits _________

A. driven harmonic motion

B. Hooke’s-law type of motion

C. resonance

D. damped harmonic motion

DEPARTMENT OF ENGINEERING 2

ESM 1224 PHYSICS 2 SEMESTER I 2006/2007

4. A student measures g, the acceleration due to gravity near the

Earth's surface, by performing an experiment using a simple

pendulum. The pendulum consists of a small "bob," attached to the

end of a very light string of length L = 2.0 m. The string is initially

hanging straight down. The student then displaces the pendulum

bob horizontally and releases it from rest. She observes that the

pendulum completed 20 oscillations in one minute. Find the value

of g that she gets from the experiment

2 A. 7.3 m/s

2 B. 8.6 m/s

2 C. 9.7 m/s

2 D. 10.4 m/s

5. The radius of a sphere of lead is 1.0 m on the surface of the earth

52 where the pressure is 1.01 × 10 N/m. The sphere is taken by

submarine to a certain depth of the ocean where it is exposed to a

8 2 pressure of 1.25 × 10N/m. What is the volume of the sphere

102 at the bottom of the ocean? (Bulk Modulus, B = 4.2 × 10 N/m)

3 A. 4.176 m

3 B. 4.201 m

23 C. 1.25 × 10 m

-13 D. 1.34 x 10 m

6. Two metal block X and Y have the same mass and the specific

gravities of the metals are 4.5 and 6.0 respectively. What is the

ratio of the volume of the metal block X to that of Y?

A. 2/3

B. 3/4

C. 4/3

D. 3/2

DEPARTMENT OF ENGINEERING 3

ESM 1224 PHYSICS 2 SEMESTER I 2006/2007

7. You are originally 1.0 m beneath the surface of a pool. If you dive

to 2.0 m beneath the surface, what happens to the absolute

pressure on you?

A. It doubles

B. It more than doubles

C. It triples

D. It less than doubles

Question 8-9 pertains to situations describe below and figure 3.

A cup is filled to the brim with water and a floating ice cube.

Resting on top of the ice cube is a small pebble.

pebble Floating ? ice cube

Figure 3

8. According to Archimedes, the buoyant force is equal to

A. the weight of the object.

B. the weight of the object submerged beneath the surface of

the liquid.

C. the weight of the liquid displaced by the object.

D. the ratio of the density of the liquid to that of the object.

9. When the ice melts, what happened to the water levels?

A. water level increases

B. water level decreases

C. water level remain the same

D. water level decreases by ten times

DEPARTMENT OF ENGINEERING 4

ESM 1224 PHYSICS 2 SEMESTER I 2006/2007

10. When you blow some air above a paper strip, the paper rises. This

is because

A. the air above the paper moves faster and the pressure is

lower

B. the air above the paper moves faster and the pressure is

higher

C. the air above the paper moves slower and the pressure is

lower

D. the air above the paper moves slower and the pressure is

higher

11. The temperature changes from 35?F during the night to 75?F during

the day. What is the temperature change on the Celsius scale?

O A. 72 C

O B. 40 C

O C. 32 C

O D. 22 C

3312. For mercury to expand from 4.0 cm to 4.1 cm, what change in

temperature is necessary? Mercury has a volume expansion

o-1-6 coefficient of 180 × 10(C)

A. 400?C

B. 139?C

C. 14?C

D. 8.2?C

DEPARTMENT OF ENGINEERING 5

ESM 1224 PHYSICS 2 SEMESTER I 2006/2007

13. Figure 4 shows a bimetallic strip, consisting of metal G on the top

and metal H on the bottom, is rigidly attached to a wall at the left.

The coefficient of linear thermal expansion for metal G is greater

than that of metal H. If the strip is uniformly heated, it will

Figure 3

A. curve upward

B. curve downward

C. remains horizontal, but get longer

D. bends in the middle

14. Two cubes, one silver and one iron, have the same mass and

temperature. A quantity Q of heat is removed from each cube.

Which one of the following properties causes the final temperatures

of the cubes to be different?

A. density

B. volume

C. latent heat of vaporization

D. specific heat capacity

15. Which one of the following processes does not occur during the

transfer of heat within a container of air through convection?

A. A continuous flow of warmer and cooler parts of air is

established

B. The cooler portion of the air surrounding a warmer part

exerts a buoyant force on it

C. The volume of a warmed part of the air is reduced and its

density increases

D. As the warmer part of the air moves, it is replaced by cooler

air that is subsequently warmed

DEPARTMENT OF ENGINEERING 6

ESM 1224 PHYSICS 2 SEMESTER I 2006/2007

16. The thermal conductivity of aluminum is twice that of brass. Two

rods, aluminum and the other brass are joined together end to end

in excellent thermal contact. The rods are of equal lengths and

radii. The free end of the brass rod is maintained at 0?C and the

aluminum's free end is heated to 200?C. If no heat escapes from

the sides of the rods, what is the temperature at the interface

between the two metals?

A. 76?C

B. 133?C

C. 148?C

D. 155?C

17. How many water molecules, HO are there in 36 g of water? 2

(Molar masses: H = 1 g/mole; O = 16 g/mole)

A. 36N A

B. 2N A

C. 18N A

D. 0.5N A

18. Complete the following statement:

A bicycle tire explodes after lying in the hot afternoon sun. This is

an illustration of ________

A. Charles' law

B. the ideal gas law

C. Boyle's law

D. Pressure’s law

DEPARTMENT OF ENGINEERING 7

ESM 1224 PHYSICS 2 SEMESTER I 2006/2007

19. Two vessels X and Y of volumes V and V respectively are XY

connected with a tube at a constant pressure. The temperature of X

and Y are maintained at T and T respectively. X and Y contain the XY

same type of ideal gas. What is the ratio of

number of molecules in X ? number of molecules in Y

VTYY A. VTXX

VTYX B. VTXY

VTXY C. VTYX

VTXY D.

VTYX

20. An ideal gas at STP is first compressed until its volume is half the

initial volume, and then it is allowed to expand until its pressure is

half the initial pressure. All of this is done while holding the

temperature constant. If the initial internal energy of the gas is U,

the final internal energy of the gas will be

A. U

B. U/4

C. U/2

D. 2U

DEPARTMENT OF ENGINEERING 8

ESM 1224 PHYSICS 2 SEMESTER I 2006/2007

PART B: STRUCTURED QUESTIONS (80 MARKS)

QUESTION ONE

(A) An object with mass 0.3 kg is attached to a spring with spring

constant, k = 19.6 N/m. The mass is pulled so that the spring is

stretched to a maximum position from the equilibrium point and

released from rest, as shown in figure 5.

x = 0.1

m

Figure 5

If the object executes simple harmonic motion,

i) determine the:

a) period of the motion [2]

b) angular frequency of the motion [2]

ii) Write down the equation describing the motion of the object

as a function of time, assuming that x was maximum at t = 0

[1]

iii) Draw a graph of x vs t by showing the correct amplitude and

period [1.5]

DEPARTMENT OF ENGINEERING 9

ESM 1224 PHYSICS 2 SEMESTER I 2006/2007

iv) Calculate the velocity attained by the object when t = 0.25 s

[2]

(B) (i) A physics student conducts an experiment to study the

energy of an object when it undergoes simple harmonic

motion. In the experiment, a block of mass, m = 2.62 kg is

attached to the end of spring (k = 12.8 N/m), where the

spring is set-up horizontally on a frictionless table. The

student observed that the energy of object changes from

elastic potential energy to kinetic energy and back again, as

the object oscillates back and forth on the table. An energy

graph is plotted based on the observations, as shown in

figure 6.

Energy, E

0.92 J

Position, x 0

Figure 6

a) Label the type of energy represent by each graph in figure 2

[1]

b) Using the data given, calculate the

i) amplitude of the motion [2]

DEPARTMENT OF ENGINEERING 10

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