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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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