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Midterm Review Packet I
1. Which vector represents the resultant of X and Y?
X
Y
(1)
(2)
(3)
(4)
2. The resultant of two concurrent forces is minimum when the angle between them is
(1) 0 degrees
(3) 90 degrees
(2) 45 degrees
(4) 180 degrees
3. Which pair of terms are vector quantities?
(1) work and velocity
(2) force and momentum
(3) weight and distance
(4) acceleration and mass
4. Two displacement vectors of 9 meters and 4 meters are combined. The maximum
resultant is
(1) 5 m
(2) 9 m
(3) 13 m
(4) 36 m
5. A person travels 4 meters North, 6 meters West and 4 meters South. What is the total
displacement?
(1) 14 m East
(2) 6 m West
(3) 4 m South
(4) 4 m
North
6. A boy exerts a force F in pulling a wagon by means of a cord making an angle A to the
ground. Fx is the horizontal component of F, and Fy is the vertical component of F. If
the angle A is increased while F is kept constant,
(1) both Fx and Fy will increase.
(2) both Fx and Fy will decrease.
(3) Fx will increase and Fy will decrease.
(4) Fy will increase and Fx will decrease.
7. Mass is to weight as kilogram is to
(1) joule
(2) Newton
(3) force
(4) watt
8. A 800 N store sign is supported by two slanting wire cable wires of equal length. The
cables make an angle of 90o at the point of the sign to which they are attached. The
force exerted by the sign along each cable is about
(1) 400 N
(3) 720 N
(3) 560 N
(4) 800 N
9. If the angle between the cables in problem 8 is increased, the force acting along the
cables will
(1) increase
(2) decrease
(3) remain the same
10. A man walks 40 meters north, then 70 meters east and then 40 meters south. What is
his displacement from the starting point?
(1) 150 meters east
(3) 70 meters east
(2) 150 meters west
(4) 70 meters west
11. A force of 100. newtons is applied to an object at an angle of 30 o from the horizontal
as shown in the diagram. What is the magnitude of the vertical component of this
force?
100 N
30o
object
(1) 0 N
(2) 50.0 N
(3) 6.0 N
(4) 100. N
12. As the angle between the two concurrent forces increases from 45 to 90 degrees, the
magnitude of their resultant
(1) increases
(2) decreases
(3) remains the same
13. A resultant force of 10. newtons is made up of two component forces acting at right
angles to each other. If the magnitude of one of the components is 6.0 newtons, the
magnitude of the other component must be
(1) 16 N
(2) 8.0 N
(3) 6.0 N
(4) 4.0 N
14. What is the magnitude of the horizontal or x-component of vector OB in the diagram?
(Each box represents one unit.)
(1) 9 units
(2) 6 units
(3) 3 units
(4) 0 units
15. A man pulls a wagon by applying a force of 100 N to the handle which is held at an
angle of 15o to the ground. The horizontal component of the man’s force is
(1) 26 N
(2) 44 N
(3) 50 N
(4) 97 N
16. Referring to question 15, the vertical component of the man’s force is
(1) 26 N
(2) 44 N
(3) 50 N
(4) 97 N
17. The maximum number of components that a single vector can be resolved into is
(1) one
(2) two
(3) three
(4) unlimited
18. A man in a car going northward at 16 m/s throws a ball through the window at a speed
of
12 m/s in the eastward direction. The magnitude of the ball’s resultant velocity is
(1) 12 m/s
(2) 9 m/s
(3) 20 m/s
(4) 28 m/s
19. Which pair of concurrent forces may have a resultant of 20 N?
(1) 5.0 N and 10 N
(3) 20 N and 50 N
(2) 20 N and 20 N
(4) 30 N and 5.0 N
20. Three forces act concurrently on an object in equilibrium. These forces are 10 N, 8 N
and 6 N. The resultant of the 6 N force and the 8 N force is
(1) 0
(3) 10 N
(2) between 0 and 10 N
(4) greater than 10 N
21. If the force vector shown in the diagram below is resolved into two components, these
two components could be represented by which diagram?
(1)
(2)
(3)
(4)
22. A ball is fired with a velocity of 12 meters per second from a cannon pointing north,
while the cannon is moving eastward at a velocity of 24 meters per second. Which
vector best represents the resultant velocity of the ball as it leaves the cannon?
(1)
N
(2)
N
(3)
N
(4)
N
23. In the diagram, the number 1, 2, 3, and 4 represent possible directions in which a force
could be applied to a cart. If the force applied in each direction has the same
magnitude, in which direction will the vertical component of the force be the least?
2
1
3
4
(1) 1
(2) 2
(3) 3
(4) 4
24. Which force could act concurrently with Force A to produce Force B as a resultant?
(1)
Force A
Force B
(2)
(3)
(4)
25. Four forces act concurrently on a point as shown below. The point is moving to the
right with constant velocity. The resultant of the four forces is
5.0 N
5.0 N
5.0 N
5.0 N
(1) 0.0 N
(2) 5.0 N
(3) 14 N
(4) 20. N
26. An object, starting from rest, accelerates at a rate of 3.0 meters per second squared
for 6.0 seconds. The velocity of the object at the end of this time is
(1) 0.50 m/s
(2) 2.0 m/s
(3) 3.0 m/s
(4) 18 m/s
27. Which graph best represents the relationship between velocity and time for an object
accelerating at a constant positive rate?
(1)
v
(2)
v
t
(3)
v
t
(4)
v
t
t
28. An object has a constant acceleration of 2.0 m/s2. The time required for the object to
accelerate from 8.0 m/s to 28 m/s.
(1) 10. s
(2) 2.0 s
(3) 3.0 s
(4) 4.0 s
29. Which graph is an example of motion at a constant velocity?
(1)
(2)
(3)
(4)
v
v
v
v
t
t
30. The time rate of change of velocity is
(1) speed
(2) acceleration
t
(3) force
t
(4) displacement
31. An object dropped from rest will have a velocity of 30 meters per second at the end of
approximately
(1) 1.0 s
(2) 2.0 s
(3) 3.0 s
(4) 4.0 s
32. A 1 kilogram and a 2 kilogram mass are dropped from the top of a building, the
acceleration is
(1) greater for the 1 kilogram mass
(2) greater for the 2 kilogram mass
(3) the same for both masses
(4) depends on what they are made of
33. A car accelerates uniformly from rest at 3.2 m/s2. When the car has traveled a
distance of 40.0 meters, its speed will be
(1) 8.0 m/s
(2) 12.5 m/s
(3) 16 m/s
(4) 256 m/s
34. A boat is heading east across a river at 24 km/h. The current is 10 km/h south. The
magnitude of the resultant velocity of the boat is
(1) 14 km/h
(2) 17 km/h
(3) 26 km/h
(4) 34 km/h
35. Referring to question 34, if the river is 2 km wide, the time taken by the boat to reach
the other side is
(1) 1/5 h
(2) 1/12 h
(3) 1/13 h
(4) 1/17 h
36. Which graph represents an object moving at a constant non-zero speed for the entire
time interval?
(1)
(2)
(3)
(4)
d
d
d
d
t
t
t
t
Base your answers to questions 37 and 38 on the data recorded on the timing tape
below.
A
.. . .
B
. . .
.
.
.
.
.
.
.
.
. . . .
37. Free fall is best represented by tape
(1) A
(2) B
C
.
D
.
.
.
.
.
.
(3) C
(4) D
38. Uniform motion is best represented by tape
(1) A
(2) B
(3) C
(4) D
.
.
.
.
.
.
. . ..
.
.
.
Base your answers to questions 39 through 42 on the graph which represents the
motion of cars A and B on a straight track. Car B passes car A at the same instant that
car A starts from rest at t = 0 seconds.
60
Car A
50
40
Velocity (m/s)
30
Car B
20
10
0
10
20 30 40 50
Time (seconds)
60
70
39. What is the acceleration of car A during the interval between t = 0 s and t = 60 s.
(1) 1 m/s2
(2) 10 m/s2
(3) 20 m/s2
(4) 30 m/s2
40. How far did car A travel in the interval between t = 0 s and t = 60 s?
(1) 30 m
(2) 360 m
(3) 1800 m
(4) 3600 m
41. How long after t = 0 s did it take car A to catch up to car B?
(1) 10 s
(2) 20 s
(3) 30 s
(4) 60 s
42. During the time intervals given below, which car traveled the greatest distance?
(1) car A from t = 0 s to t = 30 s
(3) car B from t = 0 s to t = 30 s
(2) car A from t = 30 s to t = 60 s
(4) car B from t = 30 s to t = 60 s
Questions 43 through 45 are based on the following information
A toy projectile is fired vertically from the ground with an initial velocity of +29 m/s.
The projectile arrives at its maximum altitude in 3.0 seconds. [Neglect air resistance.]
43. The greatest height the projectile reaches is approximately
(1) 23 m
(2) 44 m
(3) 87 m
(4) 260 m
44. What is the velocity of the projectile when it hits the ground?
(1) 0.0 m/s
(2) -9.8 m/s
(3) -29 m/s
(4) +29 m/s
45. What is the displacement of the projectile from the time it left the ground until it
returned to the ground?
(1) 0.0 m
(2) 9.8 m
(3) 44 m
(4) 88 m
Base your answers to questions 46 through 50 on the accompanying graph which
represents the motions of four cars on a straight road.
80
70
Speed (m/s)
car A
car C
car B
car D
60
50
40
30
20
10
12 14 16 18
Time (seconds)
20
46. The speed of car C at time t = 20 seconds is closest to
(1) 60 m/s
(2) 45 m/s
(3) 3.0 m/s
(4) 600 m/s
47. Which car has zero acceleration?
(1) A
(2) B
(3) C
(4) D
48. Which car is decelerating?
(1) A
(2) B
(3) C
(4) D
49. Which car moves the greatest distance in the time interval t = 10 seconds to t = 16
seconds?
(1) A
(2) B
(3) C
(4) D
50. Which graph best represents the relationship between distance and time for car C?
(1)
(2)
(3)
(4)
d
d
d
d
t
t
t
t
51. The graph below represents the motion of a body that is moving with
d
t
(1) increasing acceleration
(2) decreasing acceleration
(3) increasing speed
(4) constant speed
52. The graph below represents the relationship between distance and time for an object
in motion. During which time interval is the speed of the object changing?
E
Distance
C
D
A
(1) AB
B
(2) BC
Time
(3) CD
53. Which is constant for a freely falling object?
(1) displacement
(2) speed
(3) velocity
(4) DE
(4) acceleration
54. A car moving at a speed of 8.0 m/s enters a highway and accelerates at 3.0 m/s 2.
How fast will the car be moving after it has accelerated for 56 meters?
(1) 24 m/s
(2) 20 m/s
(3) 18 m/s
(4) 4.0 m/s
Base your answers to questions 55 through 57 on the information below.
A rocket is launched at an angle of 60.0o to the horizontal. The initial velocity of the
rocket is 500. meters per second. [Neglect air resistance.]
55. The vertical component of the initial velocity is
(1) 250. m/s
(2) 433 m/s
(3) 500. m/s
(4) 1000 m/s
56. Compared to the horizontal component of the rocket’s initial velocity, the horizontal
component after 10. seconds would be
(1) less
(2) greater
(3) the same
57. The horizontal component of the rocket’s initial velocity is
(1) 250. m/s
(2) 300. m/s
(3) 433 m/s
(4) 500. m/s
Use the following description to answer questions 58 through 61.
An object is projected upward at an angle of 45o with an initial velocity of 50. m/s.
58. How high will the object rise?
(1) 22 m
(2) 42 m
(3) 63 m
(4) 104 m
59. How long will the object be in the air?
(1) 3.6 s
(2) 6.1 s
(3) 7.2 s
(4) 12.2 s
60. How far will the object travel in the horizontal direction?
(1) 35.8 m
(2) 132 m
(3) 255 m
(4) 330 m
61. If the projection angle were changed to 30o, the horizontal distance covered would
(1) decrease
(2) increase
(3) remain the same
Base your answers to questions 62 through 64 on the information below.
A cannon fires a projectile at an angle with the horizontal. The horizontal component
of the projectile’s initial velocity is 866 meters per second and its initial vertical
component is 500. meter per second. [Neglect air resistance.]
62. What is the shape of the path that the projectile will follow?
(1) circular
(2) straight
(3) hyperbolic
(4) parabolic
63. After 5.00 seconds, approximately what is the vertical component of the projectile’s
velocity?
(1) 450 m/s
(2) 500. m/s
(3) 49 m/s
(4) 0.0 m/s
64. The maximum height to which the projectile rises is approximately
(1) 2.50 x 103 m
(2) 1.25 x 104 m
(3) 1.54 x 104 m
(4) 4.42 x 104 m
65. A projectile is launched at an angle of 60 above the horizontal. Compared to the
vertical component of the initial velocity of the projectile, the vertical component of the
projectile’s velocity when it has reached it maximum height is
(1) less
(2) greater
(3) the same
66. A ball is fired vertically upward at 5.0 meters per second from a car moving
horizontally to the right at 2.0 meters per second. Which best represents the resultant
velocity of the ball when fired?
(1)
(2)
(3)
(4)
67. A 1 kilogram object is thrown horizontally and a 2 kilogram object is dropped vertically
at the same instant and from the same point above the ground. If friction is neglected,
at any give instant both objects will have the same
(1) kinetic energy (2) momentum
(3) total velocity
(4) height
Base your answer to questions 68 through 70 on the diagram below which represents
a ball being kicked by a food and rising at an angle of 30.o from the horizontal. The
ball has an initial velocity of 5.0 meters per second. [Neglect air resistance.]
5.0 m/s
30o
68. What is the magnitude of the horizontal component of the ball’s initial velocity?
(1) 2.5 m/s
(2) 4.3 m/s
(3) 5.0 m/s
(4) 8.7 m/s
69. As the ball rises, the vertical component of its velocity
(1) decreases
(2) increases
(3) remains the same
70. If the angle between the horizontal and the direction of the 5.0 m/s velocity decreases
from 30. to 20., the horizontal distance the ball travels will
(1) decrease
(2) increase
(3) remain the same