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UNIVERSITY OF GHANA ·
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FIRST SEMESTER EXAMINATIONS: 2014/2015 ‘
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PHYS 143: MECHANICS AND THERMAL PHYSICS (3 Credits)
—ATTEMPT ALL QUESTIONS
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TIME ALLOVVED: TWO AND HALF HOURS
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Instructions
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PRINT your student ID number in the space provided at the top of each page.
Each question or partial statement is followed by five suggested answers or completions.
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Example
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Molar mass of Oxygen gas
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_Radius
of the Earth
RE = 6.37>< 106
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Mass ofthe Earth
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kg*
kg‘2
Universal gravitational constant,
G = 6.67 >< 10*1 N m2
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R = 8.3149 J mol" K4
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number
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Bo1tzman11’s Constant
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EXAMINERS: DR. E. M. BAIDOE-ADEITEYE, DR. S. ATARAH, DR. H. A. KOFFI & MR. A. AMANKWAH
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PHYS 143: MECHANICS AND THERMAL PHYSICS
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The work done by a conservative force between two points is.
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PHYS 143: M.ECHANtCS' AND THERMAL BHYSICS i
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EXAMINERS: DR. E. M.
BAIDOE-ADELEYE, DR. S. ATARAH, ADR. H. AI KQFFI & MR. A. AMANKWAH
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direction as the initial velocity of the moving body.
momentum.
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a projectile is doubled, its range "
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· PHYS.l43:MECl-IANICS AND THERMAL Pnvsrcs
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EXAMINERS: DR. E.M.BA1Deu1a-AADELEYE,. DR. s. ATARAH, DR. HAA. kom&MR.
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before the collision,
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the system of two objgets aßer
collision
has
·
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A. the same total momentum and the same total kinetic energy.
B. the same total momentum but less total kinetic energy„_
.
C. less total momentum but the same total kinetic energy.
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D. less total momentum and less total kinetic energy.
4
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13. A box is pushed across a horizontal flat surface with an initial Velocity of
v. It comes to rest after
a displacement d. Assuming that all the kinetic energy of the block is
eventually dissipated by
_ friction, determine the coefficient
of kinetic friction uk if the acceleration due to gravity is g.
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14. A ball of mass 0.40 kg is initially moving the left at 30 ’m/s towards
a wall. After hitting the wall,
_ 1 . the ballmoves to the right at 20 m s". What
is the impulse of thenet force on the ball during its
P‘
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15. A constant horizontal force of 20 N is applied tp a 3 kg block
that is initially _at rest on a horizontal
table as shown in Figure 1. The kinetic friction between the
block and table is 10 N. Find the
speedI
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of the block after it has been pushed 3 m.
.-.
‘A.
i6.30ms*1—
5
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D. 3.17 m s‘1
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· -—
PHYS 143; M1ac11A1~11cs AND THERMALI-Pl-IYSICS
_
1sxAM11~11a1>.s; DR. E. M. BAIDOEÄADELEYE,
DR. s. ATARAH, mz. 1-1. A. KOFFI & MR. A. AMA1~11<wA1-1
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Page 5 of 11
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the potential energy
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A spring with force constant k =;300
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17. A
ground. AfterAit is released, the sandbag
1 . Ä Ä sandbag at an instant when the balloon is 40 m above the
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18. A 60.0 kg bag is pulled on a flat
the bag whilst
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the normal force exerted by the floor on
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PHYS 143: MECHANICS AND THERMAL PHYSICS
H. A. IQOFFI & MR. A. AMANKWAH
ATARAH,
DR.
S.
DR.
E.-MLBAIDOE-AQELEYE,
DR.
EXAMINERS:
Page6of11
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is pulled horizonfally to
the left on a frictionless surface. If the spring is stretched 10 cm and released from rest,
calculate
the speed. when the object has travelled 4 cm toward the equilibrium position.
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B. 0.20 m s·‘
A. 0.11mS·‘
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D. 0.87 m s·‘
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1 1 BA.c. 3850rradad A
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is 2.0 rad s"', find the angle the wheel rotates through in 2.0 s.
A. _l5 rad
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I25.
A wheel is rotating with a constant angular acceleration of 3.50 rad s°2. Ifthe
initial angular
l·
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23. A stone is thrown horizontally with an initial speed of 8.0 m s" from the edge
of a cliff The time—,
it takes to fall from the top of the cliff to the bottom is 3.4 s. Calculate the
height of the cliff.
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D. 8.0 m
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object moves 4.0 m north and then 3.0 m east. Find the magnitude of the displacement.
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A
D. 11 radA
E. 25 rad
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.26. A 0.30 kg mass, attached to the end of a 0.75 m string,
is whirled around in a horiaontal plane. 1f
A
_
the maximum tension that the string can withstand without
breaking is 250.0 N, determine the
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maximum tangential speed.
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PHYS 143: MECHANICS AND THBRMAL PHYSICS
A
EXAMINERS:
DR. E. M. BAIDOE-ADELEYE, DR. SQATARAI-1; DR. H. A. KOFFI & MR. A.‘
A
AMANKWAH
3
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Page70f111.
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s'! while covering 75 m. Find the time
27. A car’s velocity increases uniformly from 5.0 m s"1toV20 m
VVA.
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taken to cover the distance.
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29. A position-dependent force in Newton, F (x) = 3xZI +
..
= 4 m. Calculate the work
i iidone byithe‘ __
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which moves on the x-axis from the origin to the point x
Vi
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torque of 40 N m. Determine
30. An engine develops a power of 16001r W at Äistant n
Q 3
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- velocity of the engine in revolutions per minute.
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A. 1025 rev min']
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B.
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1780 rev min"
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Q. 1200 rev min"
D. 1320 rev min"
.
E. 1360 rev min']
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A. AMANKWAH - 1
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DR.
BAIDOE-ADELEYE,
M.
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EXAMINERS: DR.
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31. Which of the following statements is true?
An example of athermometric
"‘ property is
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I. A volume of a gas
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· A
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II. pressure of a confined gas
A
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IH..electrical resistance of an electrical conductor.
AA.
I and II only
A
F
I and IH only
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C. II and III only
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D. I,_II, and III
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32. Which of the following is not correct?
B/[
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Real gases obey Boyle’s law at high temperatures and low pressures. X
.
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II. Ideal gases obey Boyle’s law only at high pressures and·low temperaturesf
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III. Real gases obey Boyle’s law under all conditions. {I ‘
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B. I and IH only
C. II and III only
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D. I, II and III
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In an
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isobaric expansion of a gas,
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work done by the gas is independent of its pressure.
A
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II work done by the gas is proportional to the change in its volume. / ‘
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III work is done by the gas at the expense of its intemal energy. A F
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only
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C. III only
ß I and II only'
E. I and III only A
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34. The first law of thermodynamics is most closely related to 5A
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A. the definition of the. absolute zero.
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A-B.
the definition of an ideal gas.
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C. theconservation of energy.
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D. thermal expansion.
_
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E. the conservation of momentum.
l
A
Q
F
Q
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is added to the gas in one cycle?
A. 2W
B. W
C. % W
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E. — W
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A R1-ws 143. M6cHAN1cs AND THERMAL Ruvsics
EXAMINERS:·DR. E. M. BAIDOE-ADELEYE, DR. s. ATARA1-1, DRA.·1-1. A. korri & MR;FA. AMANRWA1-1
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444
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A. 116 J
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13. 320 J
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C. 575 J
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D. 640 J
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A. as Q.
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m3 and temperature of 20 °C to
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adiabatiC4¢0¤Stant of air 4
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at 620 K takes _in 550 J of‘beatVat this
reservoir
high-temperature
whose
engine
Carnot
39.A
thetbemial
the low·temperature reservoir. What is
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temperature in each cycle and gives up 335 J to
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efficiency of the cycle?
n
.
4
.
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4 .4413. 300K”
9 '9
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125K
D. 275K 4
4
4
-
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final temperature of the gas.
twice its original volume. Calculate the
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·{ @226K
· . 298 K
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9.
E. is zero.
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from an initial volume of 2
38. A quantity of air expands adiabatically
4
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work done by the engine
from a hot reservoir.4 The amount of
9
must be greater than Q.
” B.
C. must be less than Q.
D. could be greater than Q. 4
j
9
4
4
37. A heat engine absorbs heat
.
9
m3 undergoes a quasiÄ
250 kPa and a volume of 4.5
of
apressure
°C,
100
at
initially
An ideal gas
'36.
change in the internal
pressure is reduced to 150 kP4a. Find the
static, 4isothermal expansion until its
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atm.9
pressure4of 1
an ideal gas at a temperature of 0 °C and a
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40. Calculate the volume of two moles of
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99 9 ‘A.1.1><10·2m3 V
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.
m3
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9
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m3
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9
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4.5 210-2 m3 -
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4. PHXS 143: MECHANICS AND THERMAI. PHYSICS
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DR. H. A.4KOF4FI & MR. A._AMANKWAl-1
EXAMINERS: DR. E. M. BAIDOE-ADELEYE, DR. S. ATARAH,
Page
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41. Thetemperature of an ideal gas initially at 47 °C changes
such that its pressure is doubled and its
volume reduces to two-thirds of its origina11value. Calculate_the
new temperature of the gas.
1
1
|
·
I
A. 153.67 °C
B. 217.76 °C
c. 374.76 ec
OC
5
1
1
1
·
B. 591.67 CTC
D. 462.67
1
1
1
.
42. An ideal gas sample has a pressure of 2.5 atm and a
volume of 1.0 m3 at a temperature of 30 °C.
Determine the number of moles of gas in the sample.
1
1
1
1 A. 9.9 X_10“‘ 1
I
1
· 1 · A. 1.05_>él05J 1
B.
‘
1 c. 11.0X1_0·2»
10.1 ‘15
D. l01·
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· 1 1
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11
·
1
_ 1
B. 250
1
.
5
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.
11
V1
1 · 43. How much heat is required to change 0.50 kg of ice 1at 01 °C to water
at 50 °C?
1
1
D. 4.38 X 1051
1B. 1.13X11051
l1
1
.
15 15
1
1
1 1
1
5
1 .
_
1
15
1
1
B. 1.67 X 105 1 1
1
1c.
_
1
2.71 X _105
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.
7 1 15
f
1
1
,
1
44. To raise the temperature of a 2.00 kg piece ofmetal from
20 °C to 100 °C, 61.8 kJ ofheat is added. 1
.1What is the specific heat of theq?11/etal? 1
K‘1‘
1
1 ·
.
·11
V
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A. 0.390 kJ kg'
1B. 0.310 kJ kg" K1'
I
1 c. 1.65k1kg·1.K·‘
1 ‘ D. 1.24 kJ kg" K1'
1<·‘
B. 0.770 kJ kg'
I
1
1
1 · 1
1 1
1
1
. 1
.
1
1
545.
A refrigerator extracts 25.0 kJ from a cold reservoir
and rejects
the coefficient of performance of this refrigerator?
I
5
,.1 ä5
1 1 11
5J
1
1
A. 2.5
5
35.0 kJ to a hot reservoir. What is
11
5
1 1
1é
1
1
1f
5 B. 3.5
1
.
1
1I
-1
C. 1.4
1
.D.
5.0I
1
E. 4.0
5
5
1.
1
1
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II
1
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5
PHYS 143: MECHANICS AND THERMALPHYSICS
5
EXAMINERS: DR. E. M. BAIDOE-ADELEYE, DR. S.
ATARAH, DR. H. A. KOF1§l & MR. AI AMANKWAH
1
1
Page 11 of11
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