Let&#x27;s Review Regents: Physics—Physical Setting

A girl attempts to swim directly across a stream 15 meters wide. When she reaches the other side, she is 15 meters downstream. The magnitude of her displacement is closest to
(A) $30 \mathrm{~m}$
(B) $21 \mathrm{~m}$
(C) $17 \mathrm{~m}$
(D) $15 \mathrm{~m}$

Paul Gabriel

Numerade Educator

01:16

Problem 6

If a woman runs 100 meters north and then 70 meters south, her total displacement will be
(A) $30 \mathrm{~m}[\mathrm{~N}]$
(B) $30 \mathrm{~m}[\mathrm{~S}]$
(C) $170 \mathrm{~m}[\mathrm{~N}]$
(D) $170 \mathrm{~m}[\mathrm{~S}]$

Paul Gabriel

Numerade Educator

01:26

Problem 7

A 5 -newton force directed north and a 5 -newton force directed west both act on the same point. The resultant of these two forces is approximately
(A) $5 \mathrm{~N}[\mathrm{NW}]$
(B) $7 \mathrm{~N}[\mathrm{NW}]$
(C) $5 \mathrm{~N}[\mathrm{SW}]$
(D) $7 \mathrm{~N}[\mathrm{SW}]$

Paul Gabriel

Numerade Educator

01:03

Problem 8

Two forces of 5 newtons and 15 newtons acting concurrently could have a resultant with a magnitude of
(A) $5 \mathrm{~N}$
(B) $10 \mathrm{~N}$
(C) $25 \mathrm{~N}$
(D) $75 \mathrm{~N}$

Paul Gabriel

Numerade Educator

00:39

Problem 9

Two 10.0-newton forces act concurrently on a point at an angle of $180^{\circ}$ to each other. The magnitude of the resultant of the two forces is
(A) $0 \mathrm{~N}$
(B) $10.0 \mathrm{~N}$
(C) $18.0 \mathrm{~N}$
(D) $20.0 \mathrm{~N}$

Paul Gabriel

Numerade Educator

01:12

Problem 10

The diagram below represents two forces acting concurrently on an object. The magnitude of the resultant force is closest to
(A) $20 \mathrm{~N}$
(B) $40 \mathrm{~N}$
(C) $45 \mathrm{~N}$
(D) $60 \mathrm{~N}$

Paul Gabriel

Numerade Educator

01:29

Problem 11

Forces A and B have a resultant $\mathbf{R}$. Force A and resultant $\mathbf{R}$ are shown in the diagram below.
Which vector below best represents force $\mathbf{B}$ ?
(A)
(B)
(C) $\longrightarrow$
(D)

Paul Gabriel

Numerade Educator

Problem 12

Which pair of concurrent forces could have a resultant of 5 ?
(A) $2 \mathrm{~N}$ and $2 \mathrm{~N}$
(B) $2 \mathrm{~N}$ and $4 \mathrm{~N}$
(C) $2 \mathrm{~N}$ and $8 \mathrm{~N}$
(D) $2 \mathrm{~N}$ and $16 \mathrm{~N}$

Paul Gabriel

Numerade Educator

01:15

Problem 13

Two concurrent forces of 40 newtons and $\mathbf{X}$ newtons have a resultant of 100 newtons. Force $\mathbf{X}$ could be
(A) $20 \mathrm{~N}$
(B) $40 \mathrm{~N}$
(C) $80 \mathrm{~N}$
(D) $150 \mathrm{~N}$

Paul Gabriel

Numerade Educator

00:29

Problem 14

Which vector best represents the resultant of the two vectors shown below?
(A)
(B)
(C)
(D)

Paul Gabriel

Numerade Educator

Problem 15

Which vector best represents the resultant of forces $\mathbf{F}_{1}$ and $\mathbf{F}_{2}$ acting concurrently on point $P$ as shown in the diagram below?
(A)
(B)
(C)
(D)

Paul Gabriel

Numerade Educator

Problem 16

Four forces act on a point as shown.
The resultant of the four forces is
(A) $\mathrm{O} \mathrm{N}$
(B) $5 \mathrm{~N}$
(C) $14 \mathrm{~N}$
(D) $20 \mathrm{~N}$

Paul Gabriel

Numerade Educator

Problem 17

The resultant of a 12-newton force and a 7-newton force is 5 newtons. The angle between the forces is
(A) $0^{\circ}$
(B) $45^{\circ}$
(C) $90^{\circ}$
(D) $180^{\circ}$

Paul Gabriel

Numerade Educator

01:12

Problem 18

Three forces act concurrently on an object in equilibrium. These forces are 10 newtons, 8 newtons, and 6 newtons. The resultant of the 6-newton and 8-newton forces is
(A) 0
(B) between o and $10 \mathrm{~N}$
(C) $10 \mathrm{~N}$
(D) greater than $10 \mathrm{~N}$

Paul Gabriel

Numerade Educator

Problem 19

The resultant of two concurrent forces is minimum when the angle between them is
(A) $0^{\circ}$
(B) $45^{\circ}$
(C) $90^{\circ}$
(D) $180^{\circ}$

Paul Gabriel

Numerade Educator

Problem 20

As the angle between two concurrent forces decreases from $180^{\circ}$, their resultant
(A) decreases
(B) increases
(C) remains the same

Paul Gabriel

Numerade Educator

00:59

Problem 21

As the angle between two concurrent forces of $5.0$ newtons and 7.0 newtons increases from $0^{\circ}$ to $180^{\circ}$, the magnitude of their resultant changes from
(A) o $\mathrm{N}$ to $35 \mathrm{~N}$
(B) $2.0 \mathrm{~N}$ to $12 \mathrm{~N}$
(C) $12 \mathrm{~N}$ to $2.0 \mathrm{~N}$
(D) $12 \mathrm{~N}$ to $0 \mathrm{~N}$

Paul Gabriel

Numerade Educator

Problem 22

The maximum number of components that a single force may be resolved into is
(A) one
(B) two
(C) three
(D) unlimited

Paul Gabriel

Numerade Educator

00:24

Problem 23

A constant force is exerted on a box as shown in the diagram. As angle $\theta$ decreases to $0^{\circ}$, the magnitude of the horizontal component of the force
(A) decreases
(B) increases
(C) remains the same

Paul Gabriel

Numerade Educator

00:26

Problem 24

Which diagram represents the vector with the largest downward component? [Assume each vector has the same magnitude.]
(A)
(B)
(C) $\overline{\text { Ground }}$
(D) $\overline{\hline \text { Ground }}$

Paul Gabriel

Numerade Educator

Problem 25

What is the magnitude of the vertical component of the velocity vector shown below?
(A) $10 . \mathrm{m} / \mathrm{s}$
(B) $69 \mathrm{~m} / \mathrm{s}$
(C) $30 . \mathrm{m} / \mathrm{s}$
(D) $40 . \mathrm{m} / \mathrm{s}$

Paul Gabriel

Numerade Educator

00:36

Problem 26

In the diagram below, the numbers $1,2,3$, 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?
(A) 1
(B) 2
(C) 3
(D) 4

Paul Gabriel

Numerade Educator

Problem 27

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
(A) $16 \mathrm{~N}$
(B) $8.0 \mathrm{~N}$
(C) $6.0 \mathrm{~N}$
(D) $4 \mathrm{~N}$

Paul Gabriel

Numerade Educator

00:52

Problem 28

A ball is fired vertically upward at $5.0$ meters per second from a cart moving horizontally to the right at $2.0$ meters per second. Which vector best represents the resultant velocity of the ball when fired?
(A)
(B)
(C)
(D)

Paul Gabriel

Numerade Educator

Problem 29

An object weighing 24 newtons is placed on a $30^{\circ}$ slope as shown. The component of the weight acting parallel to the slope is closest to
(A) $12 \mathrm{~N}$
(B) $17 \mathrm{~N}$
(C) $22 \mathrm{~N}$
(D) $24 \mathrm{~N}$

Paul Gabriel

Numerade Educator

00:56

Problem 30

What is the magnitude of the external force F necessary to hold the cart motionless at point $C$ ?
(A) $4.9 \mathrm{~N}$
(B) $2.0 \mathrm{~N}$
(C) $9.8 \mathrm{~N}$
(D) $19.6 \mathrm{~N}$

Paul Gabriel

Numerade Educator

Problem 31

Weight $\mathbf{W}$ is supported by a rod and a cable, as shown.
If angle $A$ is made smaller, the tension in the cable will
(A) decrease
(B) increase
(C) remain the same

Paul Gabriel

Numerade Educator

01:10

Problem 32

An object weighing 600 newtons is pulled up a frictionless incline at a constant speed. If the incline makes an angle of $30^{\circ}$ with the horizontal, the force on the object parallel to the incline is
(A) $200 \mathrm{~N}$
(B) $300 \mathrm{~N}$
(C) $520 \mathrm{~N}$
(D) $600 \mathrm{~N}$

Paul Gabriel

Numerade Educator

01:14

Problem 33

An object rests on an incline. As the angle between the incline and the horizontal increases, the force needed to prevent the object from sliding down the incline
(A) decreases
(B) increases
(C) remains the same

Paul Gabriel

Numerade Educator

00:40

Problem 34

A projectile is fired at an angle of $53^{\circ}$ to the horizontal with a speed of $80 .$ meters per second. What is the vertical component of the projectile's initial velocity?
(A) $130 \mathrm{~m} / \mathrm{s}$
(B) $100 \mathrm{~m} / \mathrm{s}$
(C) $64 \mathrm{~m} / \mathrm{s}$
(D) $48 \mathrm{~m} / \mathrm{s}$

Paul Gabriel

Numerade Educator

00:38

Problem 35

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?
(A)
(B)
(C)
(D)

Paul Gabriel

Numerade Educator

00:45

Problem 36

A batted softball leaves the bat with an initial velocity of 44 meters per second at an angle of $37^{\circ}$ above the horizontal. What is the magnitude of the initial vertical component of the softball's velocity?
(A) $\mathrm{O} \mathrm{m} / \mathrm{s}$
(B) $26 \mathrm{~m} / \mathrm{s}$
(C) $35 \mathrm{~m} / \mathrm{s}$
(D) $44 \mathrm{~m} / \mathrm{s}$

Paul Gabriel

Numerade Educator

00:43

Problem 37

A ball rolls down a curved ramp as shown in the diagram below. Which dotted line best represents the path of the ball after leaving the ramp?
(A) $\mathrm{A}$
(B) B
(C) $\mathrm{C}$
(D) D

Paul Gabriel

Numerade Educator

01:11

Problem 38

How many seconds does the ball take to reach the ground?
(A) $4.5$
(B) 20
(C) $9.8$
(D) $2.0$

Paul Gabriel

Numerade Educator

00:25

Problem 39

During the flight of the ball, what is the direction of its acceleration?
(A) downward
(B) upward
(C) westward
(D) eastward

Paul Gabriel

Numerade Educator

01:55

Problem 40

What is the direction of the ball's velocity at point X? [Neglect friction.]
(A) down
(B) $\mathrm{up}$
(C) west
(D) east

Massimo Antonelli

Numerade Educator

Problem 41

What is the direction of the ball's acceleration at point $X$ ? [Neglect friction.]
(A) down
(B) $\mathrm{up}$
(C) west
(D) east

Ivan Kochetkov

Numerade Educator

01:33

Problem 42

A bullet is fired horizontally from the roof of a building $100 .$ meters tall with a speed of $850 .$ meters per second. Neglecting air resistance, how far will the bullet drop in $3.00$ seconds?
(A) $29.4 \mathrm{~m}$
(B) $44.1 \mathrm{~m}$
(C) $100 . \mathrm{m}$
(D) $2,550 \mathrm{~m}$

Paul Gabriel

Numerade Educator

00:41

Problem 43

What is the magnitude of the horizontal component of the ball's initial velocity?
(A) $2.5 \mathrm{~m} / \mathrm{s}$
(B) $4.3 \mathrm{~m} / \mathrm{s}$
(C) $5.0 \mathrm{~m} / \mathrm{s}$
(D) $8.7 \mathrm{~m} / \mathrm{s}$

Paul Gabriel

Numerade Educator

00:54

Problem 44

As the ball rises, the vertical component of its velocity
(A) decreases
(B) increases
(C) remains the same

Paul Gabriel

Numerade Educator

Problem 45

The vertical component of the initial velocity is
(A) $250 \mathrm{~m} / \mathrm{s}$
(B) $433 \mathrm{~m} / \mathrm{s}$
(C) $500 \mathrm{~m} / \mathrm{s}$
(D) $1000 \mathrm{~m} / \mathrm{s}$

Paul Gabriel

Numerade Educator

Problem 46

Compared to the horizontal component of the rocket's initial velocity, the horizontal component after 10 seconds would be
(A) less
(B) greater
(C) the same

Paul Gabriel

Numerade Educator

01:30

Problem 47

What is the vertical speed of the object as it reaches the ground? [Neglect friction.]
(A) $130 \mathrm{~m} / \mathrm{s}$
(B) $29 \mathrm{~m} / \mathrm{s}$
(C) $15 \mathrm{~m} / \mathrm{s}$
(D) $5.0 \mathrm{~m} / \mathrm{s}$

Paul Gabriel

Numerade Educator

00:54

Problem 48

How far from the base of the cliff will the object strike the ground? [Neglect friction].
(A) $2.9 \mathrm{~m}$
(B) $9.8 \mathrm{~m}$
(C) $15 \mathrm{~m}$
(D) $44 \mathrm{~m}$

Paul Gabriel

Numerade Educator

00:33

Problem 49

What is the horizontal speed of the object $1.0$ second after it is released? [Neglect friction.]
(A) $5.0 \mathrm{~m} / \mathrm{s}$
(B) $10 . \mathrm{m} / \mathrm{s}$
(C) $15 \mathrm{~m} / \mathrm{s}$
(D) $30 . \mathrm{m} / \mathrm{s}$

Paul Gabriel

Numerade Educator

Problem 50

Which graph best represents the motion of an obiect sliding down a frictionless inclined plane?
(A)
(B)
(C)
(D)

Paul Gabriel

Numerade Educator

00:42

Problem 51

Four forces are acting on an object as shown in the diagram below.
If the object is moving with a constant velocity, the magnitude of force $\mathbf{F}$ must be
(A) $0 \mathrm{~N}$
(B) $20 \mathrm{~N}$
(C) $100 \mathrm{~N}$
(D) $40 \mathrm{~N}$

Paul Gabriel

Numerade Educator

00:33

Problem 52

An elevator containing a man weighing 800 newtons is rising at a constant speed. The force exerted by the man on the floor of the elevator is
(A) less than $80 \mathrm{~N}$
(B) between 80 and $800 \mathrm{~N}$
(C) $800 \mathrm{~N}$
(D) more than $800 \mathrm{~N}$

Paul Gabriel

Numerade Educator

00:37

Problem 53

What is the direction of the net force on object $B$ ?
(A) $<$
(B) $\uparrow$
(C) $\longrightarrow$
(D) $\downarrow$

Paul Gabriel

Numerade Educator

00:40

Problem 54

The net force on object $B$ is equal to
(A) $t \mathrm{~N}$
(B) $40 \mathrm{~N}$
(C) $(40+t) \mathrm{N}$
(D) $(40-t) \mathrm{N}$

Paul Gabriel

Numerade Educator

00:31

Problem 55

The net force on object $A$ is equal to
(A) $t N$
(B) $120 \mathrm{~N}$
(C) $(120+t) N$
(D) $(120-t) N$

Paul Gabriel

Numerade Educator

00:30

Problem 56

The speedometer in a car does not measure the car's velocity because velocity is a
(A) vector quantity and has a direction associated with it
(B) vector quantity and does not have a direction associated with it
(C) scalar quantity and has a direction associated with it
(D) scalar quantity and does not have a direction associated with it

Paul Gabriel

Numerade Educator

Problem 57

A projectile launched at an angle of $45^{\circ}$ above the horizontal travels through the air. Compared to the projectile's theoretical path with no air friction, the actual trajectory of the projectile with air friction is
(A) lower and shorter
(B) lower and longer
(C) higher and shorter
(D) higher and longer

Paul Gabriel

Numerade Educator

00:36

Problem 58

Two stones, $A$ and $B$, are thrown horizontally from the top of a cliff. Stone $A$ has an initial speed of 15 meters per second and stone $B$ has an initial speed of $30 .$ meters per second. Compared to the time it takes stone $A$ to reach the ground, the time it takes stone $B$ to reach the ground is
(A) the same
(B) twice as great
(C) half as great
(D) four times as great

Paul Gabriel

Numerade Educator

00:37

Problem 59

Which diagram represents a box in equilibrium?
(A)
(B)
(C)
(D)

Paul Gabriel

Numerade Educator

Problem 60

An airplane flies with a velocity of 750 . kilometers per hour, $30.0^{\circ}$ south of east. What is the magnitude of the eastward component of the plane's velocity?
(A) $866 \mathrm{~km} / \mathrm{h}$
(B) $650 . \mathrm{km} / \mathrm{h}$
(C) $433 \mathrm{~km} / \mathrm{h}$
(D) $375 \mathrm{~km} / \mathrm{h}$

Paul Gabriel

Numerade Educator

01:27

Problem 61

A block weighing $10.0$ newtons is on a ramp inclined at $30.0^{\circ}$ to the horizontal. A $3.0$-newton force of friction, $F_{f}$, acts on the block as it is pulled up the ramp at constant velocity with force $F$, which is parallel to the ramp, as shown in the diagram below.
What is the magnitude of force $F ?$
(A) $7.0 \mathrm{~N}$
(B) $8.0 \mathrm{~N}$
(C) $10 . \mathrm{N}$
(D) $13 \mathrm{~N}$

Paul Gabriel

Numerade Educator

Problem 62

A 25 -newton horizontal force northward and a 35 -newton horizontal force southward act concurrently on a 15 -kilogram object on a frictionless surface. What is the magnitude of the object's acceleration?
(A) $0.67 \mathrm{~m} / \mathrm{s}^{2}$
(B) $1.7 \mathrm{~m} / \mathrm{s}^{2}$
(C) $2.3 \mathrm{~m} / \mathrm{s}^{2}$
(D) $4.0 \mathrm{~m} / \mathrm{s}^{2}$

Paul Gabriel

Numerade Educator

00:42

Problem 63

The diagram below represents two concurrent forces.
Which vector represents the force that will produce equilibrium with these two forces?
(A)
(B)
(C)
(D)

Paul Gabriel

Numerade Educator

00:21

Problem 64

Which is a vector quantity?
(A) speed
(B) work
(C) mass
(D) displacement

Paul Gabriel

Numerade Educator

00:43

Problem 65

A soccer player kicks a ball with an initial velocity of 10 . meters per second at an angle of $30 .{ }^{\circ}$ above the horizontal. The magnitude of the horizontal component of the ball's initial velocity is
(A) $5.0 \mathrm{~m} / \mathrm{s}$
(B) $8.7 \mathrm{~m} / \mathrm{s}$
(C) $9.8 \mathrm{~m} / \mathrm{s}$
(D) $10 . \mathrm{m} / \mathrm{s}$

Paul Gabriel

Numerade Educator

Problem 66

Two spheres, $A$ and $B$, are simultaneously projected horizontally from the top of a tower. Sphere $A$ has a horizontal speed of 40 . meters per second and sphere $B$ has a horizontal speed of $20 .$ meters per second. Which statement best describes the time required for the spheres to reach the ground and the horizontal distance they travel? [Neglect friction and assume the ground is level.]
(A) Both spheres hit the ground at the same time and at the same distance from the base of the tower.
(B) Both spheres hit the ground at the same time, but sphere $A$ lands twice as far as sphere $B$ from the base of the tower.
(C) Both spheres hit the ground at the same time, but sphere $B$ lands twice as far as sphere $A$ from the base of the tower.
(D) Sphere $A$ hits the ground before sphere $B$, and sphere $A$ lands twice as far as sphere $B$ from the base of the tower.

Paul Gabriel

Numerade Educator

01:12

Problem 67

In the diagram below, a 20.-newton force due north and a 20.newton force due east act concurrently on an object, as shown in the diagram below.
The additional force necessary to bring the object into a state of equilibrium is
(A) 20 . N, northeast
(B) 20. N, southwest
(C) $28 \mathrm{~N}$, northeast
(D) $28 \mathrm{~N}$, southwest

Paul Gabriel

Numerade Educator

00:25

Problem 68

Two forces act concurrently on an object. Their resultant force has the largest magnitude when the angle between the forces is
(A) $0^{\circ}$
(B) $30^{\circ}$
(C) $90^{\circ}$
(D) $180^{\circ}$

Paul Gabriel

Numerade Educator

00:30

Problem 69

Which is not a vector quantity?
(A) electric charge
(B) magnetic field strength
(C) velocity
(D) displacement

Paul Gabriel

Numerade Educator

Problem 70

As the angle between two concurrent forces decreases, the magnitude of the force required to produce equilibrium
(A) decreases
(B) increases
(C) remains the same

Paul Gabriel

Numerade Educator

01:17

Problem 71

A child walks $5.0$ meters north, then $4.0$ meters east, and finally $2.0$ meters south. What is the magnitude of the resultant displacement of the child after the entire walk?
(A) $1.0 \mathrm{~m}$
(B) $5.0 \mathrm{~m}$
(C) $3.0 \mathrm{~m}$
(D) $11.0 \mathrm{~m}$

Paul Gabriel

Numerade Educator

00:52

Problem 72

What is the magnitude of the boat's resultant velocity as it crosses the stream?
(A) $0.5 \mathrm{~m} / \mathrm{s}$
(B) $2.5 \mathrm{~m} / \mathrm{s}$
(C) $3.0 \mathrm{~m} / \mathrm{s}$
(D) $3.5 \mathrm{~m} / \mathrm{s}$

Paul Gabriel

Numerade Educator

Problem 73

How much time is required for the boat to reach the opposite bank of the stream?
(A) $8.6 \mathrm{~s}$
(B) $12 \mathrm{~s}$
(C) $15 \mathrm{~s}$
(D) 60.s

Paul Gabriel

Numerade Educator

00:24

Problem 74

Which is a vector quantity?
(A) electric charge
(B) electric field strength
(C) electric potential difference
(D) electric resistance

Paul Gabriel

Numerade Educator

01:07

Problem 75

A $6.0$-newton force and an 8.o-newton force act concurrently on a point. As the angle between these forces increases from $0^{\circ}$ to $90^{\circ}$, the magnitude of their resultant
(A) decreases
(B) increases
(C) remains the same

Paul Gabriel

Numerade Educator

01:13

Problem 76

A machine launches a tennis ball at an angle of $25^{\circ}$ above the horizontal at a speed of 14 meters per second. The ball returns to level ground. Which combination of changes must produce an increase in time of flight of a second launch?
(A) decrease the launch angle and decrease the ball's initial speed
(B) decrease the launch angle and increase the ball's initial speed
(C) increase the launch angle and decrease the ball's initial speed
(D) increase the launch angle and increase the ball's initial speed

Paul Gabriel

Numerade Educator

Problem 77

A plane flying horizontally above Earth's surface at $100 .$ meters per second drops a crate. The crate strikes the ground $30.0$ seconds later. What is the magnitude of the horizontal component of the crate's velocity just before it strikes the ground? [Neglect friction.]
(A) $\mathrm{O} \mathrm{m} / \mathrm{s}$
(B) $100 . \mathrm{m} / \mathrm{s}$
(C) $294 \mathrm{~m} / \mathrm{s}$
(D) $394 \mathrm{~m} / \mathrm{s}$

Paul Gabriel

Numerade Educator

01:55

Problem 78

A woman with horizontal velocity $v_{1}$ jumps off a dock into a stationary boat. After landing in the boat, the woman and the boat move wth velocity $v_{2} .$ Compared to velocity $v_{1}$, velocity $v_{2}$ has
(A) the same magnitude and the same direction
(B) the same magnitude and opposite direction
(C) smaller magnitude and the same direction
(D) larger magnitude and the same direction

Paul Gabriel

Numerade Educator

00:47

Problem 79

The diagram below shows a $4.0$-kilogram object accelerating at 10. meters per second $^{2}$ on a rough horizontal surface.
What is the magnitude of the frictional force $F_{f}$ acting on the object?
(A) $5.0 \mathrm{~N}$
(B) 10. N
(C) 20. $\mathrm{N}$
(D) 40. $\mathrm{N}$

Paul Gabriel

Numerade Educator

Problem 80

The diagram below represents a force vector, $A$, and a resultant vector, $R$.
Which force vector $B$ below could be added to force vector $A$ to produce resultant vector $R ?$
(A)
(B)
(C)
(D)

Paul Gabriel

Numerade Educator

00:31

Problem 81

A golf ball is propelled with an initial velocity of $60 .$ meters per second at $37^{\circ}$ above the horizontal. The horizontal component of the golf ball's initial velocity is
(A) $30 . \mathrm{m} / \mathrm{s}$
(B) $36 \mathrm{~m} / \mathrm{s}$
(C) $40 . \mathrm{m} / \mathrm{s}$
(D) $48 \mathrm{~m} / \mathrm{s}$

Paul Gabriel

Numerade Educator

Problem 82

A 3 -newton force and a 4-newton force are acting concurrently on a point. Which force could not produce equilibrium with these two forces?
(A) $1 \mathrm{~N}$
(B) $7 \mathrm{~N}$
(C) $9 \mathrm{~N}$
(D) $4 \mathrm{~N}$

Paul Gabriel

Numerade Educator

Problem 83

A volleyball hit into the air has an initial speed of $10 .$ meters per second. Which vector best represents the angle above the horizontal that the ball should be hit to remain in the air for the greatest amount of time?
(A)
(B)
(C)
(D)

Paul Gabriel

Numerade Educator

00:16

Problem 84

Which is a scalar quantity?
(A) acceleration
(B) momentum
(C) speed
(D) displacement

Paul Gabriel

Numerade Educator

Problem 85

A projectile is fired with an initial velocity of $120 .$ meters per second at an angle, $\theta$, above the horizontal. If the projectile's initial horizontal speed is 55 meters per second, then angle $\theta$ measures approximately
(A) $13^{\circ}$
(B) $27^{\circ}$
(C) $63^{\circ}$
(D) $75^{\circ}$

Paul Gabriel

Numerade Educator

02:10

Problem 86

A 2.0-kilogram laboratory cart is sliding across a horizontal frictionless surface at a constant velocity of $4.0$ meters per second east. What will be the cart's velocity after a 6.0-newton westward force acts on it for $2.0$ seconds?
(A) $2.0 \mathrm{~m} / \mathrm{s}$ east
(B) $2.0 \mathrm{~m} / \mathrm{s}$ west
(C) $10 . \mathrm{m} / \mathrm{s}$ east
(D) $10 . \mathrm{m} / \mathrm{s}$ west

Paul Gabriel

Numerade Educator

Problem 87

A student on her way to school walks four blocks east, three blocks north, and another four blocks east, as shown in the diagram.
Compared to the distance she walks, the magnitude of her displacement from home to school is
(A) less
(B) greater
(C) the same

Paul Gabriel

Numerade Educator

00:52

Problem 88

Which vector diagram best represents a cart slowing down as it travels to the right on a horizontal surface?
(A)
(B)
(C)
(D)

Paul Gabriel

Numerade Educator

01:53

Problem 89

Two 30.-newton forces act concurrently on an object. In which diagram would the forces produce a resultant with a magnitude of 30. newtons?
(A)
(B)
(C)
(D)

Paul Gabriel

Numerade Educator

01:21

Problem 90

Base your answers to parts $a$ through $c$ on the information below.
A student pulls a cart across a horizontal floor by exerting a force of $50 .$ newtons at an angle of $35^{\circ}$ to the horizontal.
a. On the diagram provided, using a protractor and a straightedge, construct a scaled vector showing the $50 .$-newton force acting on the cart at the appropriate angle. The force must be drawn to a scale of $1.0$ centimeter $=10 . \mathrm{N}$.
Label the $50 .$-newton force and the $35^{\circ}$ angle on your diagram. Be sure your final answer appears with the correct labels (numbers and units).
b. Construct the horizontal component of the force vector to scale on your diagram, and label it $H$.
c. What is the magnitude of the horizontal component of the force?

Keshav Singh

Numerade Educator

Problem 91

Explain how to find the coefficient of kinetic friction between a wooden block of unknown mass and a tabletop in the laboratory. Include the following in your explanation:
- Measurements required
- Equipment needed
- Procedure
- Equation(s) needed to calculate the coefficient of friction

Keshav Singh

Numerade Educator

01:52

Problem 92

Base your answers to parts $a$ through $c$ on the information below.
A newspaper carrier on her delivery route travels $200 .$ meters due north and then turns and walks $300 .$ meters due east.
a. On a separate paper, draw a vector diagram following the directions below.
(1) Using a ruler and protractor and starting at point $P$, construct the sequence of two displacement vectors for the newspaper carrier's route. Use a scale of $1.0$ centimeters = 100. meters. Label the vectors.
(2) Construct and label the vector that represents the carrier's resultant displacement from point $P$.
b. What is the magnitude of the carrier's resultant displacement?
c. What is the angle (in degrees) between north and the carrier's resultant displacement?

Keshav Singh

Numerade Educator

Problem 93

Using the information in the data table, construct a line graph on the grid provided. Plot the data points and draw the best-fit line.

Keshav Singh

Numerade Educator

Problem 94

Using one or more complete sentences, explain the physical significance of the slope of the graph.

Keshav Singh

Numerade Educator

00:53

Problem 95

Using a ruler, determine the scale used in the vector diagram by finding the number of newtons represented by each centimeter.

Keshav Singh

Numerade Educator

Problem 96

On the vector diagram provided, use a ruler and protractor to construct the vector that represents the resultant force.

Keshav Singh

Numerade Educator

Problem 97

What is the magnitude of the resultant force?

Keshav Singh

Numerade Educator

Problem 98

What is the measure of the angle (in degrees) between east and the resultant force?

Keshav Singh

Numerade Educator

01:00

Problem 99

Calculate the magnitude of the acceleration of the object. [Show all calculations, including the equation and substitution with units.]

Keshav Singh

Numerade Educator

Problem 100

On the diagram below, draw a vector to represent each of the three forces acting on the block. Use a ruler and a scale of $1.0$ centimeter $=20 .$ newtons. Begin each vector at point $C$ and label its magnitude in newtons.

Keshav Singh

Numerade Educator

Problem 101

Calculate the magnitude of the acceleration of the block. [Show all calculations, including the equation and substitution with units.]

Keshav Singh

Numerade Educator

01:13

Problem 102

A 160.-newton box sits on a 10.-meter-long frictionless plane inclined at an angle of $30 .^{\circ}$ to the horizontal as shown. Force $(F)$ applied to a rope attached to the box causes the box to move with a constant speed up the incline.

Keshav Singh

Numerade Educator

Problem 103

Using dimensional analysis, show that the expression $v^{2} / d$ has the same units as acceleration. [Show all the steps used to arrive at your answer.]

Keshav Singh

Numerade Educator

01:03

Problem 104

In the space below, use a metric ruler and protractor to draw a triangle representing the positions of the kite, $K$, and point $A$ relative to point $B$ that is given. Label points $A$ and $K$. Use a scale of $1.0$ centimeter $=20$. meters.

Keshav Singh

Numerade Educator

01:30

Problem 105

Use a metric ruler and your scale diagram to determine the height, $A K$, of the kite.

Keshav Singh

Numerade Educator

01:33

Problem 106

A small lead sphere is dropped from the kite. Calculate the amount of time required for the sphere to fall to the ground. [Show all calculations, including the equation and substitution with units. Neglect air resistance.]

Keshav Singh

Numerade Educator

01:29

Problem 107

The diagram below shows a $5.0$-kilogram block accelerating at $6.0$ meters per second $^{2}$ along a rough horizontal surface by the application of a horizontal force, $F$, of $50 .$ newtons.

Keshav Singh

Numerade Educator

00:58

Problem 108

A box of mass $m$ is held motionless on a frictionless inclined plane by a rope that is parallel to the surface of the plane. On the diagram provided, draw and label all of the force vectors acting on the box.

Keshav Singh

Numerade Educator

Problem 109

Using a metric ruler and the vector diagram, determine the scale used in the diagram.

Keshav Singh

Numerade Educator

00:47

Problem 110

On the diagram above, construct the resultant vector that represents the dog's total displacement.

Keshav Singh

Numerade Educator

01:01

Problem 111

Determine the magnitude of the dog's total displacement.

Keshav Singh

Numerade Educator

Problem 112

Calculate the magnitude of the vertical component of the ball's initial velocity. [Show all work, including the equations and substitution with units.]

Keshav Singh

Numerade Educator

01:28

Problem 113

Calculate the maximum height the ball reaches above its initial position. [Show all work, including the equation and substitution with units.

Keshav Singh

Numerade Educator

00:59

Problem 114

On the diagram below, sketch the path of the ball's flight from its initial position at point $P$ until it returns to level ground.

Keshav Singh

Numerade Educator

00:59

Problem 115

On the diagram above, draw an arrow to represent the direction of the net force on the ball when it is at position $X$. Label the arrow $F_{\text {net }}$ [ [Neglect friction.]

Keshav Singh

Numerade Educator

01:01

Problem 116

On the diagram in your answer booklet, draw an arrow to represent the direction of the acceleration of the ball at position $Y$. Label the arrow a. [Neglect friction.]

Keshav Singh

Numerade Educator

Problem 117

Calculate the total distance the jet travels on the runway as it is brought to rest. [Show all work, including the equation and substitution with units.]

Keshav Singh

Numerade Educator

Problem 118

On the diagram below, point $P$ represents the position of the jet on the runway. Beginning at point $P$, draw a vector to represent the magnitude and direction of the acceleration of the jet as it comes to rest. Use a scale of $1.0$ centimeter $=0.50$ meter/second $^{2}$

Keshav Singh

Numerade Educator

Problem 119

Calculate the magnitude of the component of the 60.-newton force that is parallel to the horizontal surface. [Show all work, including the equation and substitution with units.]

Keshav Singh

Numerade Educator

Problem 120

Determine the magnitude of the frictional force acting on the sled.

Keshav Singh

Numerade Educator

00:53

Problem 121

On the diagram above, sketch the ideal path of the projectile.

Keshav Singh

Numerade Educator

01:38

Problem 122

How does the maximum altitude of the projectile change as the launch angle is increased from $30 .{ }^{\circ}$ to $45^{\circ}$ above the horizontal? [Assume the same initial speed, $v_{i}$ ]

Keshav Singh

Numerade Educator

01:07

Problem 123

How does the total horizontal distance traveled by the projectile change as the launch angle is increased from $30 .{ }^{\circ}$ to $45^{\circ}$ above the horizontal? [Assume the same initial speed, $v_{i}$ ]

Keshav Singh

Numerade Educator

00:41

Problem 124

Starting at point $P$ on the diagram below, use a metric ruler and a scale of $1.0 \mathrm{~cm}=4.0 \mathrm{~N}$ to draw a vector representing the normal force acting on the box. Label the vector $F_{N}$

Keshav Singh

Numerade Educator

Problem 125

Calculate the magnitude of the frictional force acting on the box. [Show all work, including the equation and substitution with units.]

Keshav Singh

Numerade Educator

Problem 126

Determine the magnitude of the net force acting on the box.

Keshav Singh

Numerade Educator

00:42

Problem 127

Determine the mass of the box.

Keshav Singh

Numerade Educator

Problem 128

Calculate the magnitude of the acceleration of the box. [Show all work, including the equation and substitution with units.]

Keshav Singh

Numerade Educator

Problem 129

Determine the scale used in the diagram.

Keshav Singh

Numerade Educator

Problem 130

Use a ruler and protractor to construct a vector representing the resultant of forces $A$ and $B$.

Keshav Singh

Numerade Educator

Problem 131

Determine the magnitude of the resultant force.

Keshav Singh

Numerade Educator

00:41

Problem 132

Explain the difference between a scalar and a vector quantity.

Keshav Singh

Numerade Educator

Problem 133

A 10.-kilogram rubber block is pulled horizontally at constant velocity across a sheet of ice. Calculate the magnitude of the force of friction acting on the block. [Show all work, including the equation and substitution with units.]

Keshav Singh

Numerade Educator

Problem 134

On the diagram below, use a protractor and ruler to draw a vector to represent the initial velocity of the projectile. Begin the vector at point $P$, and use a scale of $1.0$ centimeter $=100 .$ meters per second.

Keshav Singh

Numerade Educator