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Instructor(s): Profs. D. Reitze, H. Chan
PHY 2053
PHYSICS DEPARTMENT
Final Exam
Name (print, last first):
April 25, 2009
Signature:
On my honor, I have neither given nor received unauthorized aid on this examination.
YOUR TEST NUMBER IS THE 5-DIGIT NUMBER AT THE TOP OF EACH PAGE.
(1) Code your test number on your answer sheet (use lines 76–80 on the answer sheet for the 5-digit number).
Code your name on your answer sheet. DARKEN CIRCLES COMPLETELY. Code your UFID number on your
answer sheet.
(2) Print your name on this sheet and sign it also.
(3) Do all scratch work anywhere on this exam that you like. There are 2 blank sheets at the end if you need more space.
Circle your answers on the test form. At the end of the test, this exam printout is to be turned in. No credit will
be given without both answer sheet and printout.
(4) Blacken the circle of your intended answer completely, using a #2 pencil or blue or black ink. Do not
make any stray marks or some answers may be counted as incorrect.
(5) The answers are rounded off. Choose the closest to exact. There is no penalty for guessing.
(6) Hand in the answer sheet separately.
Constants:
G = 6.67 × 10−11 N m2 /kg2
g = 9.80 m/s2
1. An object with mass 0.10 kg is attached to a spring with spring constant 200 N/m. The object oscillates about the
equilibrium position with an amplitude of 3.0 cm. Find the maximum velocity of the object.
(1) 1.3 m/s
(2) 60 m/s
(3) 4.2 m/s
(4) 27 m/s
(5) 0.24 m/s
2. An object with mass 0.15 kg is attached to a spring with spring constant 100 N/m. The object oscillates about the
equilibrium position with an amplitude of 3.0 cm. Find the maximum velocity of the object.
(1) 0.77 m/s
(2) 20 m/s
(3) 11 m/s
(4) 3.9 m/s
(5) 0.14 m/s
3. An object with mass 0.20 kg is attached to a spring with spring constant 100 N/m. The object oscillates about the
equilibrium position with an amplitude of 4.0 cm. Find the maximum velocity of the object.
(1) 0.89 m/s
(2) 20 m/s
(3) 13 m/s
(4) 4.1 m/s
(5) 0.24 m/s
4. An airplane emits sound of frequency of 4500 Hz. The airplane travels at a speed of 240 m/s. To a stationary listener
behind the plane, what is the frequency of the sound? Given that the speed of sound is 340 m/s.
(1) 2640 Hz
(2) 15300 Hz
(3) 1320 Hz
(4) 7680 Hz
(5) 3180 Hz
5. An airplane emits sound of frequency of 2400 Hz. The airplane travels at a speed of 260 m/s. To a stationary listener
behind the plane, what is the frequency of the sound? Given that the speed of sound is 340 m/s.
(1) 1360 Hz
(2) 10200 Hz
(3) 4240 Hz
(4) 5650 Hz
(5) 1840 Hz
6. An airplane emits sound of frequency of 3100 Hz. The airplane travels at a speed of 270 m/s. To a stationary listener
behind the plane, what is the frequency of the sound? Given that the speed of sound is 340 m/s.
(1) 1730 Hz
(2) 15060 Hz
(3) 6380 Hz
(4) 5560 Hz
(5) 2460 Hz
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7. For an object undergoing simple harmonic motion, which of the following quantities are maximum when the object
crosses the equilibrium position?
(1) kinetic energy
(2) potential energy
(3) magnitude of acceleration
(4) magnitude of velocity
(5) magnitude of force
(1) 1 and 4
(2) 2, 3 and 5
(3) 1 and 2
(4) 3, 4 and 5
(5) 3 and 5
8. For an object undergoing simple harmonic motion, which of the following quantities are maximum when the object
crosses the equilibrium position?
(1) potential energy
(2) kinetic energy
(3) magnitude of force
(4) magnitude of velocity
(5) magnitude of acceleration
(1) 2 and 4
(2) 1, 3 and 5
(3) 1 and 2
(4) 3, 4 and 5
(5) 3 and 5
9. For an object undergoing simple harmonic motion, which of the following quantities are maximum when the object
crosses the equilibrium position?
(1) magnitude of force
(2) magnitude of velocity
(3) magnitude of acceleration
(4) potential energy
(5) kinetic energy
(1) 2 and 5
(2) 1, 3 and 4
(3) 4 and 5
(4) 1, 2 and 3
(5) 1 and 3
10. The distance between two successive maxima of a transverse wave is 1.20 m. Three crests of the wave pass a given point
along the direction of travel every 5.0 s. Find the wave speed.
(1) 0.72 m/s
(2) 2.0 m/s
(3) 1.4 m/s
(4) 0.24 m/s
(5) 3.2 m/s
11. The distance between two successive maxima of a transverse wave is 1.40 m. Three crests of the wave pass a given point
along the direction of travel every 9.0 s. Find the wave speed.
(1) 0.47 m/s
(2) 2.1 m/s
(3) 4.2 m/s
(4) 0.16 m/s
(5) 1.2 m/s
12. The distance between two successive maxima of a transverse wave is 2.20 m. Three crests of the wave pass a given point
along the direction of travel every 13 s. Find the wave speed.
(1) 0.51 m/s
(2) 9.5 m/s
(3) 2.0 m/s
(4) 0.17 m/s
(5) 4.9 m/s
13. A simple pendulum on earth has a period of 11 s. The pendulum is transferred to the surface of Mars where the
acceleration due to gravity is 3.7 m/s2 . Find the new period.
(1) 18 s
(2) 6.8 s
(3) 29 s
(4) 4.2 s
(5) 12.3 s
14. A simple pendulum on earth has a period of 7.9 s. The pendulum is transferred to the surface of Mars where the
acceleration due to gravity is 3.7 m/s2 . Find the new period.
(1) 13 s
(2) 4.9 s
(3) 21 s
(4) 3.0 s
(5) 9.7 s
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15. A simple pendulum on earth has a period of 5.5 s. The pendulum is transferred to the surface of Mars where the
acceleration due to gravity is 3.7 m/s2 . Find the new period.
(1) 9.0 s
(2) 3.4 s
(3) 15 s
(4) 2.1 s
(5) 6.2 s
16. A 0.60 kg object attached to the end of a string of length 0.90 m is swung in a circular path and in a vertical plane.
The angular speed is maintained at 8.0 rad/s. What is the tension in the string when the object is at the bottom of the
circular path?
(1) 40 N
(2) 29 N
(3) 5.9 N
(4) 49 N
(5) 35 N
17. A 0.50 kg object attached to the end of a string of length 0.90 m is swung in a circular path and in a vertical plane.
The angular speed is maintained at 6.0 rad/s. What is the tension in the string when the object is at the bottom of the
circular path?
(1) 21 N
(2) 11 N
(3) 4.9 N
(4) 25 N
(5) 16 N
18. A 0.20 kg object attached to the end of a string of length 0.90 m is swung in a circular path and in a vertical plane.
The angular speed is maintained at 10.0 rad/s. What is the tension in the string when the object is at the bottom of
the circular path?
(1) 20 N
(2) 16 N
(3) 2.0 N
(4) 24 N
(5) 18 N
19. A diver jumps upwards from a diving platform at a speed of 2.5 m/s and hits water after a time of 2.0 s. Find the height
of the platform from the water surface.
(1) 15 m
(2) 20 m
(3) 5.0 m
(4) 34 m
(5) 11 m
20. A diver jumps upwards from a diving platform at a speed of 2.0 m/s and hits water after a time of 2.5 s. Find the height
of the platform from the water surface.
(1) 26 m
(2) 31 m
(3) 5.0 m
(4) 56 m
(5) 17 m
21. A diver jumps upwards from a diving platform at a speed of 2.3 m/s and hits water after a time of 1.5 s. Find the height
of the platform from the water surface.
(1) 7.6 m
(2) 11 m
(3) 3.5 m
(4) 19 m
(5) 4.9 m
22. On a frictionless table, two objects collide and stick together. The mass of object A is 4 times the mass of object B.
Immediately before the collision, object A was traveling at 1.90 m/s along the positive x direction and object B was
traveling at 1.10 m/s along the negative y direction. Find the speed immediately after the collision.
(1) 1.53 m/s
(2) 1.74 m/s
(3) 1.10 m/s
(4) 2.20 m/s
(5) 2.51 m/s
23. On a frictionless table, two objects collide and stick together. The mass of object A is 4 times the mass of object B.
Immediately before the collision, object A was traveling at 1.60 m/s along the positive x direction and object B was
traveling at 1.20 m/s along the negative y direction. Find the speed immediately after the collision.
(1) 1.30 m/s
(2) 1.52 m/s
(3) 1.00 m/s
(4) 2.00 m/s
(5) 2.53 m/s
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24. On a frictionless table, two objects collide and stick together. The mass of object A is 4 times the mass of object B.
Immediately before the collision, object A was traveling at 2.20 m/s along the positive x direction and object B was
traveling at 1.50 m/s along the negative y direction. Find the speed immediately after the collision.
(1) 1.79 m/s
(2) 2.06 m/s
(3) 1.33 m/s
(4) 2.66 m/s
(5) 3.12 m/s
25. A helicopter flies horizontally at a constant speed of 20.0 m/s at a height of 55.0 m above the ground. The pilot lets go
of a package. At what speed does the package strike the ground?
(1) 38.4 m/s
(2) 32.8 m/s
(3) 20.0 m/s
(4) 9.80 m/s
(5) 40.0 m/s
26. A helicopter flies horizontally at a constant speed of 12.0 m/s at a height of 15.0 m above the ground. The pilot lets go
of a package. At what speed does the package strike the ground?
(1) 20.9 m/s
(2) 17.1 m/s
(3) 12.0 m/s
(4) 9.80 m/s
(5) 24.0 m/s
27. A helicopter flies horizontally at a constant speed of 11.0 m/s at a height of 9.0 m above the ground. The pilot lets go
of a package. At what speed does the package strike the ground?
(1) 17.2 m/s
(2) 13.3 m/s
(3) 11.0 m/s
(4) 9.8 m/s
(5) 22.0 m/s
28. A car has a mass of 1500 kg and approaches a traffic light at a speed of 20 m/s. The light turns red when the car is
65 m from the light, and the driver applies the brakes immediately when the light turns red. If the braking force is a
constant 3000 N, where does the car stop?
(1)
(2)
(3)
(4)
(5)
35 m after the traffic light
70 m before the traffic light
100 m before the traffic light
200 m after the traffic light
exactly at the traffic light
29. A car has a mass of 1500 kg and approaches a traffic light at a speed of 15 m/s. The light turns red when the car is
65 m from the light, and the driver applies the brakes immediately when the light turns red. If the braking force is a
constant 3000 N, where does the car stop?
(1)
(2)
(3)
(4)
(5)
9 m before the traffic light
18 m before the traffic light
31 m after the traffic light
22 m after the traffic light
exactly at the traffic light
30. A car has a mass of 1500 kg and approaches a traffic light at a speed of 20 m/s. The light turns red when the car is
65 m from the light, and the driver applies the brakes immediately when the light turns red. If the braking force is a
constant 4000 N, where does the car stop?
(1)
(2)
(3)
(4)
(5)
15 m after the traffic light
10 m before the traffic light
23 m before the traffic light
70 m after the traffic light
exactly at the traffic light
The exact answer is 10 m after the traffic light. The closest answer is therefore (1). Both (1) and (2)
will be accepted as answers and will be given credit.
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31. A vertical spring is compressed a distance x and launches a ball of mass m into the air that rises a distance h from the
equilibrium position of the spring. If the spring is compressed a distance 2x and used to launch a ball of mass 3m into
the air, how high will the ball rise from the equilibrium position of the spring? Assume that h is much greater than x.
(1) 4/3h
(2) 2h
(3) h
(4) 3h
(5) 4/3h
Both (1) and (5) are correct answers.
32. A vertical spring is compressed a distance x and launches a ball of mass m into the air that rises a distance h from the
equilibrium position of the spring. If the spring is compressed a distance 3x and used to launch a ball of mass 3m into
the air, how high will the ball rise from the equilibrium position of the spring? Assume that h is much greater than x.
(1) 3h
(2) 2/3h
(3) h
(4) 3/2h
(5) 9h
33. A vertical spring is compressed a distance x and launches a ball of mass m into the air that rises a distance h from the
equilibrium position of the spring. If the spring is compressed a distance 4x and used to launch a ball of mass 8m into
the air, how high will the ball rise from the equilibrium position of the spring? Assume that h is much greater than x.
(1) 2h
(2) 4h
(3) 16h
(4) 3/2h
(5) 4/3h
34. A child jumps off the floor, moving upward faster and faster until she leaves the floor. During this time that she is in
contact with the floor, the force of the floor on her shoes is:
(1)
(2)
(3)
(4)
(5)
greater than her weight
equal in magnitude and opposite in direction to her weight
less than her weight
zero
negative
35. A 150 g superball is dropped from a height of 6.00 m, hits the ground, and rebounds to a height of 3.80 m. How much
energy is lost in the collision of superball and the ground?
(1) 3.23 J
(2) 9.65. J
(3) 0.53 J
(4) 1.02 J
(5) 5.41 J
36. A 120 g superball is dropped from a height of 5.00 m, hits the ground, and rebounds to a height of 4.20 m. How much
energy is lost in the collision of superball and the ground?
(1) 0.94 J
(2) 0.55 J
(3) 1.70 J
(4) 1.32 J
(5) 0.11 J
37. A 70 g superball is dropped from a height of 10.00 m, hits the ground, and rebounds to a height of 7.00 m. How much
energy is lost in the collision of superball and the ground?
(1) 2.06 J
(2) 0.97 J
(3) 1.03 J
(4) 3.44 J
(5) 4.18 J
38. An isolated rotating object has an angular momentum of 150 kg m2 / s and rotational kinetic energy of 320 J. What is
its moment of inertia?
(1) 35 kg m2
(2) 932 kg m2
(3) 12 kg m2
(4) 533 kg m2
(5) 429 kg m2
39. An isolated rotating object has an angular momentum of 270 kg m2 / s and rotational kinetic energy of 220 J. What is
its moment of inertia?
(1) 166 kg m2
(2) 84 kg m2
(3) 50 kg m2
(4) 17 kg m2
(5) 325 kg m2
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40. An isolated rotating object has an angular momentum of 60 kg m2 / s and rotational kinetic energy of 810 J. What is
its moment of inertia?
(1) 2.2 kg m2
(2) 6.7 kg m2
(3) 12.3 kg m2
(4) 94.3 kg m2
(5) 0.9 kg m2
41. A 0.32 kg object is placed on top of a cylinder standing on a table. The cylinder is made of rubber and has a diameter of
4.0 cm and a height of 15.0 cm. The Young’s modulus of rubber is 1.2 × 106 N/m2 . By what distance does the cylinder
compress?
(1) 0.31 mm
(2) 0.91 mm
(3) 1.21 mm
(4) 0.03 mm
(5) 0.11 mm
42. A 0.93 kg object is placed on top of a cylinder standing on a table. The cylinder is made of rubber and has a diameter of
4.0 cm and a height of 20.0 cm. The Young’s modulus of rubber is 1.2 × 106 N/m2 . By what distance does the cylinder
compress?
(1) 1.21 mm
(2) 0.41 mm
(3) 4.21 mm
(4) 2.98 mm
(5) 0.29 mm
43. A 1.69 kg object is placed on top of a cylinder standing on a table. The cylinder is made of rubber and has a diameter of
4.0 cm and a height of 10.0 cm. The Young’s modulus of rubber is 1.2 × 106 N/m2 . By what distance does the cylinder
compress?
(1) 1.10 mm
(2) 0.76 mm
(3) 3.01 mm
(4) 0.24 mm
(5) 1.89 mm
44. A boat develops a leak and sinks to the bottom of a lake after all the crew passengers are evacuated. Which of the
following statements is true?
(1)
(2)
(3)
(4)
(5)
The
The
The
The
The
normal
normal
normal
normal
normal
force
force
force
force
force
acting
acting
acting
acting
acting
on
on
on
on
on
the
the
the
the
the
boat
boat
boat
boat
boat
is
is
is
is
is
less than the weight of the boat.
equal to the weight of the boat.
greater than the weight of the boat.
equal to the weight of the displaced water.
equal to the weight of the buoyant force.
45. A water tower with an open tank is filled with water to a height h =
3.0 m above the bottom of the tank. The bottom of the tank is located
L = 40.0 m above the ground The water tower develops a hole in its
bottom, and water starts leaking toward the ground. What is the speed
of the water when it hits the ground?
(1) 29 m/s
(2) 15 m/s
(3) 43 m/s
(4) 10 m/s
(5) 8.2 m/s
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46. A water tower with an open tank is filled with water to a height h =
5.0 m above the bottom of the tank. The bottom of the tank is located
L = 15.0 m above the ground The water tower develops a hole in its
bottom, and water starts leaking toward the ground. What is the speed
of the water when it hits the ground?
(1) 20 m/s
(2) 55 m/s
(3) 4.3 m/s
(4) 43 m/s
(5) 25 m/s
(4) 9.8 m/s
(5) 33 m/s
47. A water tower with an open tank is filled with water to a height h =
8.0 m above the bottom of the tank. The bottom of the tank is located
L = 25.0 m above the ground The water tower develops a hole in its
bottom, and water starts leaking toward the ground. What is the speed
of the water when it hits the ground?
(1) 25 m/s
(2) 42 m/s
(3) 7.2 m/s
48. A man sells you what he claims to be a gold ingot. The ingot weighs 10 N when weighed in air. You take the gold home
and weigh it while fully immersed in water. If the ingot is truly gold, what will its weight be in water? The density of
gold is 1.93 × 104 kg/m3 and the density of water is 1.00 × 103 kg/m3 .
(1) 9.5 N
(2) 10 N
(3) 6.2 N
(4) 12.8 N
(5) 0.5 N
49. A man sells you what he claims to be a gold ingot. The ingot weighs 15 N when weighed in air. You take the gold home
and weigh it while fully immersed in water. If the ingot is truly gold, what will its weight be in water? The density of
gold is 1.93 × 104 kg/m3 and the density of water is 1.00 × 103 kg/m3 .
(1) 14.2 N
(2) 20 N
(3) 9.6 N
(4) 23.8 N
(5) 0.8 N
50. A man sells you what he claims to be a gold ingot. The ingot weighs 25 N when weighed in air. You take the gold home
and weigh it while fully immersed in water. If the ingot is truly gold, what will its weight be in water? The density of
gold is 1.93 × 104 kg/m3 and the density of water is 1.00 × 103 kg/m3 .
(1) 23.7 N
(2) 25 N
(3) 12.7 N
(4) 28.8 N
(5) 1.3 N
51. A 20 g block of Styrofoam has a density of 0.10 g/cm3 and is floating in a container of oil. The oil’s density is 0.70
g/cm3 . What volume of oil does the Styrofoam displace?
(1) 29 cm3
(2) 11 cm3
(3) 200 cm3
(4) 76 cm3
(5) 128 cm3
52. A 30 g block of Styrofoam has a density of 0.10 g/cm3 and is floating in a container of oil. The oil’s density is 0.70
g/cm3 . What volume of oil does the Styrofoam displace?
(1) 43 cm3
(2) 23 cm3
(3) 300 cm3
(4) 89 cm3
(5) 160 cm3
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53. A 25 g block of Styrofoam has a density of 0.10 g/cm3 and is floating in a container of oil. The oil’s density is 0.70
g/cm3 . What volume of oil does the Styrofoam displace?
(1) 36 cm3
(2) 98 cm3
(3) 250 cm3
(4) 78 cm3
(5) 187 cm3
54. In order to receive credit for this problem, you must correctly code (“bubble in”) your UFID and your 5-digit test number
(located at the top left and right hand corners of this test) onto your scan sheet and also select the correct response
below. Please check now that you have correctly coded your exam number on the scan sheet.
(1)
(2)
(3)
(4)
(5)
I
I
I
I
I
have correctly bubbled my UFID number and 5-digit test code.
won’t do this because I don’t need really the credit.
don’t know what my UFID number is.
can’t read my test code.
don’t understand what is being asked.
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