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Instructor(s): Profs. D. Reitze, H. Chan
PHY 2053
PHYSICS DEPARTMENT
Exam 1
Name (print, last first):
February 17, 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. 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. Which of the following objects have constant velocity?
(1)
(2)
(3)
(4)
(5)
A
A
A
A
A
particle
particle
particle
particle
particle
traveling along a straight line with no acceleration.
traveling with constant speed around a circle.
in free fall.
thrown at 45 degrees to the horizontal.
on a frictionless inclined plane.
2. The acceleration due to gravity on the surface of a planet is 1,000 miles/hour2 . Find the value of the acceleration in S.I.
units. (1 mile = 1609 meters)
(1) 0.124 m/s2
(2) 447 m/s2
(3) 2240 m/s2
(4) 8,060,000 m/s2
(5) 9.80 m/s
3. The acceleration due to gravity on the surface of a planet is 500 miles/hour2 . Find the value of the acceleration in S.I.
units. (1 mile = 1609 meters)
(1) 0.0621 m/s2
(2) 224 m/s2
(3) 1120 m/s2
(4) 4,030,000 m/s2
(5) 9.80 m/s
4. The acceleration due to gravity on the surface of a planet is 2,000 miles/hour2 . Find the value of the acceleration in S.I.
units. (1 mile = 1609 meters)
(1) 0.248 m/s2
(2) 894 m/s2
(3) 4480 m/s2
(4) 16,100,000 m/s2
(5) 9.8 m/s
5. A particle passes a point with speed 10.0 m/s. After 10.0 s, it returns to the starting point with the same speed but
with direction reversed. Find the magnitude of the average acceleration.
(1) 2.00 m/s2
(2) 1.00 m/s2
(3) 4.00 m/s2
(4) −2.00 m/s2
(5) 0 m/s2
6. A particle passes a point with speed 20.0 m/s. After 20.0 s, it returns to the starting point with the same speed but
with direction reversed. Find the magnitude of the average acceleration.
(1) 2.00 m/s2
(2) 1.00 m/s2
(3) 4.00 m/s2
(4) −2.00 m/s2
(5) 0 m/s2
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7. A particle passes a point with speed 20.0 m/s. After 10.0 s, it returns to the starting point with the same speed but
with direction reversed. Find the magnitude of the average acceleration.
(1) 4.00 m/s2
(2) 2.00 m/s2
(3) 8.00 m/s2
(4) −4.00 m/s2
(5) 0 m/s2
8. Which of the following scenarios cannot be true?
I. Two particles have the same velocity but different speed.
II. At a particular instant, a particle has zero velocity but is accelerating.
III. Two particles have the same speed but different velocity.
IV. The speed of a particle is decreasing and its acceleration is negative.
V. The speed of a particle is increasing and its acceleration is negative.
(1) I
(2) I and V
(3) I, II and IV
(4) V
(5) III and IV
9. Which of the following scenarios cannot be true?
I. At a particular instant, a particle has zero velocity but is accelerating.
II. Two particles have the same speed but different velocity.
III. Two particles have the same velocity but different speed.
IV. The speed of a particle is decreasing and its acceleration is negative.
V. The speed of a particle is increasing and its acceleration is negative.
(1) III
(2) III and V
(3) I, III and V
(4) V
(5) II and V
10. Which of the following scenarios cannot be true?
I. At a particular instant, a particle has zero velocity but is accelerating.
II. Two particles have the same speed but different velocity.
III. The speed of a particle is decreasing and its acceleration is negative.
IV. The speed of a particle is increasing and its acceleration is negative.
V. Two particles have the same velocity but different speed.
(1) V
(2) IV and V
(3) I, III and V
(4) IV
(5) II and III
11. The position of a particle is plotted as a function of time in the figure
below. What is the average velocity in the first 3 seconds?
X (m)
20
10
0
1
2
3
t (s)
-10
(1) 10 m/s
(2) 30 m/s
(3) 3.3 m/s
(4) 6.6 m/s
(5) −3.3 m/s
12. The position of a particle is plotted as a function of time in the figure
below. What is the average velocity in the first 15 seconds?
X (m)
20
10
0
5
10
15
t (s)
-10
(1) 2.0 m/s
(2) 6.0 m/s
(3) 0.67 m/s
(4) 1.33 m/s
(5) −0.67 m/s
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13. The position of a particle is plotted as a function of time in the figure
below. What is the average velocity in the first 30 seconds?
X (m)
20
10
0
10
20
30
t (s)
-10
(1) 1.0 m/s
(2) 3.0 m/s
(3) 0.33 m/s
(4) 0.67 m/s
(5) −0.33 m/s
14. A person standing at the edge of the top of a cliff throws a stone vertically upwards at a speed of 20 m/s. The stone
lands on the bottom of the cliff after 10 s. What is the distance between the bottom of the cliff and the highest point
reached by the stone?
(1) 310 m
(2) 290 m
(3) 20 m
(4) 200 m
(5) 330 m
15. A person standing at the edge of the top of a cliff throws a stone vertically upwards at a speed of 25 m/s. The stone
lands on the bottom of the cliff after 12 s. What is the distance between the bottom of the cliff and the highest point
reached by the stone?
(1) 437 m
(2) 406 m
(3) 29 m
(4) 300 m
(5) 466 m
16. A person standing at the edge of the top of a cliff throws a stone vertically upwards at a speed of 30 m/s. The stone
lands on the bottom of the cliff after 8 s. What is the distance between the bottom of the cliff and the highest point
reached by the stone?
(1) 120 m
(2) 74 m
(3) 47 m
(4) 160 m
(5) 196 m
17. To a cyclist riding north at 2.00 m/s, the wind appears to blow towards the direction 30 degrees south of west at 1.00
m/s. To a person at rest, what is the speed and direction at which the wind is blowing towards?
(1)
(2)
(3)
(4)
(5)
60
60
71
71
55
degrees
degrees
degrees
degrees
degrees
N
N
N
N
N
of
of
of
of
of
W at 1.73 m/s
E at 1.73 m/s
E at 2.65 m/s
W at 2.65 m/s
W at 3 m/s
18. To a cyclist riding north at 3.00 m/s, the wind appears to blow towards the direction 30 degrees south of west at 2.00
m/s. To a person at rest, what is the speed and direction at which the wind is blowing towards?
(1)
(2)
(3)
(4)
(5)
49
49
67
67
55
degrees
degrees
degrees
degrees
degrees
N
N
N
N
N
of
of
of
of
of
W at 2.65 m/s
E at 2.65 m/s
E at 4.36 m/s
W at 4.36 m/s
W at 3 m/s
19. To a cyclist riding north at 2.00 m/s, the wind appears to blow towards the direction 30 degrees south of west at 3.00
m/s. To a person at rest, what is the speed and direction at which the wind is blowing towards?
(1)
(2)
(3)
(4)
(5)
11
11
53
53
55
degrees
degrees
degrees
degrees
degrees
N
N
N
N
N
of
of
of
of
of
W at 2.65 m/s
E at 2.65 m/s
E at 4.36 m/s
W at 4.36 m/s
W at 3 m/s
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20. A particle starts from rest at t = 0 s and moves in a straight line with uniform acceleration a. It travels 26 m during
the 7th second (i.e. between t = 6 s and t = 7 s.) Find a.
(1) 4.0 m/s2
(2) 26 m/s2
(3) 36 m/s2
(4) 49 m/s2
(5) 7.0 m/s2
21. A particle starts from rest at t = 0 s and moves in a straight line with uniform acceleration a. It travels 22.5 m during
the 8th second (i.e. between t = 7 s and t = 8 s.) Find a.
(1) 3.0 m/s2
(2) 22.5 m/s2
(3) 64 m/s2
(4) 81 m/s2
(5) 6.0 m/s2
22. A particle starts from rest at t = 0 s and moves in a straight line with uniform acceleration a. It travels 18 m during
the 5th second (i.e. between t = 4 s and t = 5 s.) Find a.
(1) 4.0 m/s2
(2) 18 m/s2
(3) 25 m/s2
(4) 16 m/s2
(5) 8.0 m/s2
23. A dart player stands 2.00 m away from a target. He releases the dart at a vertical level 75.0 cm higher than the center
of the target, with velocity v at an angle 5 degrees below horizontal. Find v if the dart hits the center of the target.
(1) 5.86 m/s
(2) 4.62 m/s
(3) 7.3 m/s
(4) 15.4 m/s
(5) 18.0 m/s
24. A dart player stands 1.25 m away from a target. He releases the dart at a vertical level 75.0 cm higher than the center
of the target, with velocity v at an angle 5 degrees below horizontal. Find v if the dart hits the center of the target.
(1) 3.47 m/s
(2) 3.00 m/s
(3) 5.1 m/s
(4) 9.1 m/s
(5) 9.8 m/s
25. A dart player stands 2.50 m away from a target. He releases the dart at a vertical level 90.0 cm higher than the center
of the target, with velocity v at an angle 5 degrees below horizontal. Find v if the dart hits the center of the target.
(1) 6.73 m/s
(2) 5.25 m/s
(3) 8.2 m/s
(4) 18.1 m/s
(5) 9.8 m/s
26. A car starts from rest. It undergoes constant acceleration. After traveling a distance of 8 m, it reaches a speed of 5 m/s.
What is the distance from the starting point when its speed is 10 m/s?
(1) 32 m
(2) 16 m
(3) 18 m
(4) 25 m
(5) 40 m
27. A car starts from rest. It undergoes constant acceleration. After traveling a distance of 10 m, it reaches a speed of 4
m/s. What is the distance from the starting point when its speed is 8 m/s?
(1) 40 m
(2) 20 m
(3) 12 m
(4) 28 m
(5) 30 m
28. A car starts from rest. It undergoes constant acceleration. After traveling a distance of 12 m, it reaches a speed of 6
m/s. What is the distance from the starting point when its speed was 3 m/s?
(1) 3 m
(2) 6 m
(3) 9 m
(4) 2 m
(5) 24 m
29. A car has a mass of 2100 kg and approaches a traffic light at a speed of 85 km/hr. The light turns red when the car is
150 m from the light. The driver applies the brakes instantaneously when the light turns red and the car stops at the
light. Assuming that the acceleration is uniform, what is the magnitude of the braking force?
(1) 3900 N
(2) 7800 N
(3) 2100 N
(4) 1100 N
(5) 1200 N
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30. A car has a mass of 1500 kg and approaches a traffic light at a speed of 90 km/hr. The light turns red when the car is
150 m from the light. The driver applies the brakes instantaneously when the light turns red and the car stops at the
light. Assuming that the acceleration is uniform, what is the magnitude of the braking force?
(1) 3130 N
(2) 6260 N
(3) 4200 N
(4) 2200 N
(5) 2400 N
31. A car has a mass of 1800 kg and approaches a traffic light at a speed of 120 km/hr. The light turns red when the car
is 100 m from the light. The driver applies the brakes instantaneously when the light turns red and the car stops at the
light. Assuming that the acceleration is uniform, what is the magnitude of the braking force?
(1) 10000 N
(2) 20000 N
(3) 8400 N
(4) 4400 N
(5) 4800 N
32. A 30 kg child dives into a swimming pool from a height of 2 m. It takes 0.3 s for the water to decrease her speed to zero.
Assuming that the childs gravitational potential energy is constant once the child enters the water, what is the average
force exerted by the water on the child?
(1) 626 N
(2) 486 N
(3) 939 N
(4) 1102 N
(5) −204 N
33. A 50 kg child dives into a swimming pool from a height of 3 m. It takes 0.5 s for the water to decrease her speed to zero.
Assuming that the childs gravitational potential energy is constant once the child enters the water, what is the average
force exerted by the water on the child?
(1) 767 N
(2) 987 N
(3) 323 N
(4) −1543 N
(5) 366 N
34. A 40 kg child dives into a swimming pool from a height of 5 m. It takes 0.6 s for the water to decrease her speed to zero.
Assuming that the childs gravitational potential energy is constant once the child enters the water, what is the average
force exerted by the water on the child?
(1) 660 N
(2) 330 N
(3) 1870 N
(4) −880 N
35. A 5.0 kg mass (m1 ) located on a horizontal table is attached to a second
mass m2 by a string and pulley as shown in the figure. If the coefficient of
static friction between mass m1 and the table is 0.300, what is the maximum
value that m2 can have such that the masses don’t move.
(1) 1.5 kg
(2) 5.0 kg
(3) 2.5 kg
(2) 6.0 kg
(3) 3.0 kg
m1
m2
(4) 0.1 kg
36. A 6.0 kg mass (m1 ) located on a horizontal table is attached to a second
mass m2 by a string and pulley as shown in the figure. If the coefficient of
static friction between mass m1 and the table is 0.400, what is the maximum
value that m2 can have such that the masses don’t move.
(1) 2.4 kg
(5) 323 N
(4) 0.1 kg
(5) 10.0 kg
m1
m2
(5) 12.0 kg
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37. A 10.0 kg mass (m1 ) located on a horizontal table is attached to a second
mass m2 by a string and pulley as shown in the figure. If the coefficient of
static friction between mass m1 and the table is 0.250, what is the maximum
value that m2 can have such that the masses don’t move.
(1) 2.5 kg
(2) 10.0 kg
(3) 5.0 kg
(4) 0.1 kg
m1
m2
(5) 20.0 kg
38. A boy starts from rest at a height of 3.0 m and slides down a frictionless slide. The bottom of the slide is 0.4 m above
the ground. The boy leaves the slide at the bottom horizontally and strikes the ground. How far horizontally from the
end of the slide does the boy land?
(1) 2.04 m
(2) 1.12 m
(3) 3.01 m
(4) 0.44 m
(5) 0.76 m
39. A boy starts from rest at a height of 4.0 m and slides down a frictionless slide. The bottom of the slide is 0.2 m above
the ground. The boy leaves the slide at the bottom horizontally and strikes the ground. How far horizontally from the
end of the slide does the boy land?
(1) 1.74 m
(2) 2.45 m
(3) 1.21 m
(4) 0.67 m
(5) 0.33 m
40. A boy starts from rest at a height of 2.5 m and slides down a frictionless slide. The bottom of the slide is 0.3 m above
the ground. The boy leaves the slide at the bottom horizontally and strikes the ground. How far horizontally from the
end of the slide does the boy land?
(1) 1.62 m
(2) 1.32 m
(3) 0.21 m
(4) 3.12 m
(5) 0.45 m
41. An object orbiting the earth 30000 km from the center of the earth ‘weighs’ 300 N. What is the mass of the object?
(The mass of the earth is 5.98 × 1024 kg.)
(1) 677 kg
(2) 2.26 × 10−5 kg
(3) 1.22 kg
(4) 31900 kg
(5) 0.226 kg
42. An object orbiting the earth 20000 km from the center of the earth ‘weighs’ 400 N. What is the mass of the object?
(The mass of the earth is 5.98 × 1024 kg.)
(1) 401 kg
(2) 2.01 × 10−5 kg
(3) 4.32 kg
(4) 50300 kg
(5) 0.343 kg
43. An object orbiting the earth 5000 km from the center of the earth ‘weighs’ 200 N at that height. What is the mass of
the object? (The mass of the earth is 5.98 × 1024 kg.)
(1) 12.5 kg
(2) 2.51 × 10−6 kg
(3) 7.66 kg
(4) 22500 kg
44. A large truck collides head-on with a small compact car. During the collision:
(1)
(2)
(3)
(4)
(5)
the truck exerts the same amount of force on the car as the car exerts on the truck.
the truck exerts a greater amount of force on the car than the car exerts on the truck.
the car exerts a greater amount of force on the truck as the truck exerts on the car.
the car exerts almost no force on the truck since the truck is much heavier.
neither exerts a force on the other; the car is smashed because it is in the way of the truck.
(5) 0.911 kg
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45. Joe pulls a 40-N crate up a 5.0-m long inclined plane at a constant velocity. If the plane is inclined at an angle of 37◦ to
the horizontal and there is a constant force of friction of 10 N between the crate and the surface, what is the net change
in potential energy of the crate?
(1) 120 J
(2) −120 J
(3) 200 J
(4) −200 J
(5) I need more information to answer this question
46. Joe pulls a 40-N crate up a 10.0-m long inclined plane at a constant velocity. If the plane is inclined at an angle of 37◦
to the horizontal and there is a constant force of friction of 10 N between the crate and the surface, what is the net
change in potential energy of the crate?
(1) 241 J
(2) −241 J
(3) 400 J
(4) −400 J
(5) I need more information to answer this question
47. Joe pulls a 30-N crate up a 6.0-m long inclined plane at a constant velocity. If the plane is inclined at an angle of 37◦ to
the horizontal and there is a constant force of friction of 10 N between the crate and the surface, what is the net change
in potential energy of the crate?
(1) 108 J
(2) −108 J
(3) 180 J
(4) −180 J
(5) I need more information to answer this question
48. A simple pendulum, 2.0 m in length, is released by a push when the support string is at an angle of 25◦ from the vertical.
If the initial speed of the suspended mass is 1.2 m/s at the release point, to what maximum angle will it move in the
second half of its swing?
(1) 30◦
(2) 37◦
(3) 27◦
(4) 21◦
(5) 17◦
49. A simple pendulum, 2.0 m in length, is released by a push when the support string is at an angle of 15◦ from the vertical.
If the initial speed of the suspended mass is 1.2 m/s at the release point, to what maximum angle will it move in the
second half of its swing?
(1) 22◦
(2) 27◦
(3) 32◦
(4) 10◦
(5) 15◦
50. A simple pendulum, 2.0 m in length, is released by a push when the support string is at an angle of 30◦ from the vertical.
If the initial speed of the suspended mass is 1.2 m/s at the release point, to what maximum angle will it move in the
second half of its swing?
(1) 34◦
(2) 42◦
(3) 30◦
(4) 21◦
(5) 17◦
51. As a basketball player starts to jump for a rebound, he begins to move upward faster and faster until he leaves the floor.
During this time that he is in contact with the floor, the force of the floor on his shoes is:
(1)
(2)
(3)
(4)
(5)
greater than his weight
equal in magnitude and opposite in direction to his weight
less than his weight
zero
negative
52. 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 really need the credit.
don’t know what my UFID number is.
wish all the questions were this easy.
don’t understand what is being asked.
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