Question 1

Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. If these two vectors are added together, the magnitude of the sum

Accepted Answer

A)  is equal to 2.0 m. 
B)  could be as small as 2.0 m or as large as 12 m. 
C)  is equal to 12 m. 
D)  is equal to 8.6 m. 
A)  is equal to 2.0 m. 
B)  could be as small as 2.0 m or as large as 12 m. 
C)  is equal to 12 m. 
D)  is equal to 8.6 m.

Question 2

Mary and Debra stand on a snow-covered roof. They both throw snowballs with the same initial speed, but in different directions. Mary throws her snowball downward, at 30° below the horizontal; Debra throws her snowball upward, at 30° above the horizontal. Which of the following statements are true about just as the snowballs reach the ground below? (There could be more than one correct choice.)

Accepted Answer

A)  Debra's snowball will have a higher speed than Mary's snowball. 
B)  Mary's snowball will have a higher speed than Debra's snowball. 
C)  Both snowballs will hit the ground with the same speed. 
D)  Both snowballs hit the ground at the same time. 
E)  Mary's snowball reaches the ground before Debra's snowball. 
A)  Debra's snowball will have a higher speed than Mary's snowball. 
B)  Mary's snowball will have a higher speed than Debra's snowball. 
C)  Both snowballs will hit the ground with the same speed. 
D)  Both snowballs hit the ground at the same time. 
E)  Mary's snowball reaches the ground before Debra's snowball.

Question 3

A pilot drops a package from a plane flying horizontally at a constant speed. Neglecting air resistance, when the package hits the ground the horizontal location of the plane will

Accepted Answer

A)  be behind the package. 
B)  be directly over the package. 
C)  be in front of the package. 
D)  depend on the speed of the plane when the package was released. 
A)  be behind the package. 
B)  be directly over the package. 
C)  be in front of the package. 
D)  depend on the speed of the plane when the package was released.

Question 4

Vector $\overrightarrow { \mathbf { M } }$ = 4.00 m points eastward and vector $\vec { N }$ = 3.00 m points southward. The resultant vector $\overrightarrow { \mathbf { M } }$ + $\vec { N }$ is given by

Accepted Answer

A)  5.00 m at an angle of 36.9° south of east. 
B)  5.00 m at an angle of 53.1° south of east. 
C)  5.00 m at an angle of 71.6° south of east. 
D)  5.00 m at an angle of 18.4° south of east. 
E)  5.00 m at an angle of 26.6° south of east. 
A)  5.00 m at an angle of 36.9° south of east. 
B)  5.00 m at an angle of 53.1° south of east. 
C)  5.00 m at an angle of 71.6° south of east. 
D)  5.00 m at an angle of 18.4° south of east. 
E)  5.00 m at an angle of 26.6° south of east.

Question 5

A car travels 20 km west and then 20 km south. What is the magnitude of its displacement vector?

Accepted Answer

A)  0 km 
B)  20 km 
C)  28 km 
D)  40 km 
A)  0 km 
B)  20 km 
C)  28 km 
D)  40 km

Question 6

Vector $\vec { A }$ has a magnitude of 6.0 m and points 30° north of east. Vector $\overrightarrow { \mathbf { B } }$ has a magnitude of 4.0 m and points 30° west of south. The resultant vector $\vec { A }$ + $\overrightarrow { \mathbf { B } }$ is given by

Accepted Answer

A)  2.7 m at an angle of 8.3° south of east. 
B)  2.7 m at an angle of 8.3° east of south. 
C)  3.2 m at an angle of 8.3° east of south. 
D)  3.2 m at an angle of 8.3° south of east. 
E)  2.3 m at an angle of 8.3° south of east. 
A)  2.7 m at an angle of 8.3° south of east. 
B)  2.7 m at an angle of 8.3° east of south. 
C)  3.2 m at an angle of 8.3° east of south. 
D)  3.2 m at an angle of 8.3° south of east. 
E)  2.3 m at an angle of 8.3° south of east.

Question 7

If a vector's components are all negative, then the magnitude of the vector is negative.

Accepted Answer

A) True 
 B)False

Question 8

A plane has an airspeed of 142 m/s. A 16 m/s wind is blowing southward at the same time as the plane is flying. If the velocity of the plane relative to the ground is directly eastward, what is the magnitude of that velocity?

Accepted Answer

A)  130 m/s 
B)  16 m/s 
C)  160 m/s 
D)  141 m/s 
E)  48 m/s 
A)  130 m/s 
B)  16 m/s 
C)  160 m/s 
D)  141 m/s 
E)  48 m/s

Question 9

Three forces, $\overrightarrow { \mathbf { F } }$ 1, $\overrightarrow { \mathbf { F } }$ 2, and $\overrightarrow { \mathbf { F } }$ 3, all act on an object, as shown in the figure. The magnitudes of the forces are: F1 = 80.0 N, F2 = 60.0 N, and F3 = 40.0 N. The resultant force acting on the object is given by

Accepted Answer

A)  180 N at an angle of 60.0° with respect to +x-axis. 
B)  60.0 N at an angle of 90.0° with respect to +x-axis. 
C)  20.0 N at an angle of 34.3° with respect to +x-axis. 
D)  35.5 N at an angle of 34.3° with respect to +x-axis. 
E)  40.0 N at an angle of 60.0° with respect to +x-axis. 
A)  180 N at an angle of 60.0° with respect to +x-axis. 
B)  60.0 N at an angle of 90.0° with respect to +x-axis. 
C)  20.0 N at an angle of 34.3° with respect to +x-axis. 
D)  35.5 N at an angle of 34.3° with respect to +x-axis. 
E)  40.0 N at an angle of 60.0° with respect to +x-axis.

Question 10

A pickup truck moves at 25 m/s toward the east. Ahmed is standing in the back and throws a baseball in what to him is the southwest direction at 28 m/s (with respect to the truck). A person at rest on the ground would see the ball moving how fast in what direction?

Accepted Answer

20 m/s at

Question 11

A child throws a ball with an initial speed of 8.0 m/s at an angle of 40° above the horizontal. The ball leaves her hand 1.0 m above the ground and experiences no appreciable air resistance as it moves.
(a) How far from where the child is standing does the ball hit the ground?
(b) How long is the ball in flight before it hits the ground?
(c) What is the magnitude of the ball's velocity just before it hits the ground?

Accepted Answer

(a) 7.5 m

Question 12

A swimmer heading directly across a river that is 200 m wide reaches the opposite bank in 6 min 40 s. During this swim, she is swept downstream 480 m. What is the speed of the current?

Accepted Answer

A)  0.50 m/s 
B)  0.80 m/s 
C)  1.2 m/s 
D)  1.4 m/s 
E)  1.8 m/s 
A)  0.50 m/s 
B)  0.80 m/s 
C)  1.2 m/s 
D)  1.4 m/s 
E)  1.8 m/s

Question 13

A projectile is fired from ground level on a horizontal plain. If the initial speed of the projectile is now doubled, and we neglect air resistance,

Accepted Answer

A)  its range will be increased by $\sqrt { 2 }$ . 
B)  its range will double. 
C)  its range will be decreased by a factor of two. 
D)  its range will quadruple. 
E)  its range will decrease by a factor of four. 
A)  its range will be increased by $\sqrt { 2 }$ . 
B)  its range will double. 
C)  its range will be decreased by a factor of two. 
D)  its range will quadruple. 
E)  its range will decrease by a factor of four.

Question 14

If three vectors add to zero, they must all have equal magnitudes.

Accepted Answer

A) True 
 B)False

Question 15

Three vectors, $\overrightarrow { \mathrm { S } }$ , $\overrightarrow { \mathrm { T } }$ , and $\overrightarrow { \mathrm { U } }$ , have the components shown in the table. What angle does the resultant of these three vectors make with the +x-axis? $\begin{array} { | c | c | c | } 
\hline & x \text { component } & y \text { component } \
\hline & & \
\overrightarrow { \mathrm { S } } & & \
& - 3.5 \mathrm {~m} & 4.5 \mathrm {~m} \
\hline \overrightarrow { \mathrm { T } } & 0.00 m&-6.5 m \
\hline \overrightarrow { \mathrm { U } } & 5.5 m& -2.5 m \

\hline
\end{array}$

Accepted Answer

A)  24° above the +x-axis 
B)  24° below the +x-axis 
C)  66° above the +x-axis 
D)  66° below the +x-axis 
A)  24° above the +x-axis 
B)  24° below the +x-axis 
C)  66° above the +x-axis 
D)  66° below the +x-axis

Question 16

A point on a wheel of radius 40 cm that is rotating at a constant 5.0 revolutions per second is located 0.20 m from the axis of rotation. What is the acceleration of that point due to the spin of the wheel?

Accepted Answer

A)  0.050 m/s2 
B)  1.4 m/s2 
C)  48 m/s2 
D)  200 m/s2 
E)  0.00 m/s2 
A)  0.050 m/s2 
B)  1.4 m/s2 
C)  48 m/s2 
D)  200 m/s2 
E)  0.00 m/s2

Question 17

A boat, whose speed in still water is 8.0 m/s, crosses a river with a current of 6.0 m/s. If the boat heads perpendicular to the current, what is the speed of the boat relative to an observer standing on the shore as it crosses the river?

Accepted Answer

A)  5.3 m/s 
B)  6.0 m/s 
C)  8.0 m/s 
D)  10.0 m/s 
A)  5.3 m/s 
B)  6.0 m/s 
C)  8.0 m/s 
D)  10.0 m/s

Question 18

Consider two vectors $\vec { A }$ and $\overrightarrow { \mathbf { B } }$ shown in the figure. The difference $\vec { A }$ - $\overrightarrow { \mathbf { B } }$ is best illustrated by  
(a)
 
(b)
 
(c)
 
(d)

Accepted Answer

A)  choice (a) 
B)  choice (b) 
C)  choice (c) 
D)  choice (d) 
A)  choice (a) 
B)  choice (b) 
C)  choice (c) 
D)  choice (d)

Question 19

A projectile is fired from ground level with an initial speed of 55.6 m/s at an angle of 41.2° above the horizontal. Neglect air resistance, take upward as the positive direction, and use g = 9.8 m/s2.
(a) Determine the time necessary for the projectile to reach its maximum height.
(b) Determine the maximum height reached by the projectile.
(c) Determine the horizontal and vertical components of the velocity vector at the maximum height.
(d) Determine the horizontal and vertical components of the acceleration vector at the maximum height.

Accepted Answer

(a) 3.7 s (b) 68 m (

Question 20

The x component of vector $\vec { A }$ is 8.7 units, and its y component is -6.5 units. The magnitude of $\vec { A }$ is closest to

Accepted Answer

A)  9.9 units 
B)  7.9 units 
C)  8.9 units 
D)  11 units 
E)  12 units 
A)  9.9 units 
B)  7.9 units 
C)  8.9 units 
D)  11 units 
E)  12 units

Exam 3: Vectors and Motion in Two Dimensions

Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. If these two vectors are added together, the magnitude of the sum

A pilot drops a package from a plane flying horizontally at a constant speed. Neglecting air resistance, when the package hits the ground the horizontal location of the plane will

Vector M→\overrightarrow { \mathbf { M } }M = 4.00 m points eastward and vector N⃗\vec { N }N = 3.00 m points southward. The resultant vector M→\overrightarrow { \mathbf { M } }M + N⃗\vec { N }N is given by

A car travels 20 km west and then 20 km south. What is the magnitude of its displacement vector?

Vector A⃗\vec { A }A has a magnitude of 6.0 m and points 30° north of east. Vector B→\overrightarrow { \mathbf { B } }B has a magnitude of 4.0 m and points 30° west of south. The resultant vector A⃗\vec { A }A + B→\overrightarrow { \mathbf { B } }B is given by

If a vector's components are all negative, then the magnitude of the vector is negative.

A plane has an airspeed of 142 m/s. A 16 m/s wind is blowing southward at the same time as the plane is flying. If the velocity of the plane relative to the ground is directly eastward, what is the magnitude of that velocity?

A pickup truck moves at 25 m/s toward the east. Ahmed is standing in the back and throws a baseball in what to him is the southwest direction at 28 m/s (with respect to the truck). A person at rest on the ground would see the ball moving how fast in what direction?

A swimmer heading directly across a river that is 200 m wide reaches the opposite bank in 6 min 40 s. During this swim, she is swept downstream 480 m. What is the speed of the current?

A projectile is fired from ground level on a horizontal plain. If the initial speed of the projectile is now doubled, and we neglect air resistance,

If three vectors add to zero, they must all have equal magnitudes.

A point on a wheel of radius 40 cm that is rotating at a constant 5.0 revolutions per second is located 0.20 m from the axis of rotation. What is the acceleration of that point due to the spin of the wheel?

A boat, whose speed in still water is 8.0 m/s, crosses a river with a current of 6.0 m/s. If the boat heads perpendicular to the current, what is the speed of the boat relative to an observer standing on the shore as it crosses the river?

Consider two vectors A⃗\vec { A }A and B→\overrightarrow { \mathbf { B } }B shown in the figure. The difference A⃗\vec { A }A - B→\overrightarrow { \mathbf { B } }B is best illustrated by (a) (b) (c) (d)

The x component of vector A⃗\vec { A }A is 8.7 units, and its y component is -6.5 units. The magnitude of A⃗\vec { A }A is closest to

Representing Motion

Motion in One Dimension

Forces and Newtons Laws of Motion

Applying Newtons Laws

Gravity

Rotational Motion

Equilibrium Ad Elasticity

Momentum

Energy and Work

Using Energy

Thermal Properties of Matter

Fluids

Oscillations

Traveling Waves and Sound

Superposition and Standing Waves

Wave Optics

Ray Optics

Optical Instruments

Electric Fields and Forces

Electric Potential

Current and Resistance

Circuits

Magnetic Fields and Forces

EM Induction and Em Waves

AC Electricity

Relativity

Quantum Physics

Atoms and Molecules

Nuclear Physics

Filters

Vector $\overrightarrow { \mathbf { M } }$ = 4.00 m points eastward and vector $\vec { N }$ = 3.00 m points southward. The resultant vector $\overrightarrow { \mathbf { M } }$ + $\vec { N }$ is given by

Vector $\vec { A }$ has a magnitude of 6.0 m and points 30° north of east. Vector $\overrightarrow { \mathbf { B } }$ has a magnitude of 4.0 m and points 30° west of south. The resultant vector $\vec { A }$ + $\overrightarrow { \mathbf { B } }$ is given by

The x component of vector $\vec { A }$ is 8.7 units, and its y component is -6.5 units. The magnitude of $\vec { A }$ is closest to