Question 1

Vector    has a magnitude of  6.0 m and points    north of east. Vector   has a magnitude of  4.0 
m  and points   west of north. The resultant vector   is given by

Accepted Answer

A)   3.3 m at an angle of   north of east. 
B)   7.2 m at an angle of   east of north. 
C)   3.3 m at an angle of   east of north. 
D)   9.8 m at an angle of   north of east. 
E)   9.8 m at an angle of   east of north. 
A)   3.3 m at an angle of   north of east. 
B)   7.2 m at an angle of   east of north. 
C)   3.3 m at an angle of   east of north. 
D)   9.8 m at an angle of   north of east. 
E)   9.8 m at an angle of   east of north.

Question 2

A ball is thrown at an original speed of 8.0 m/s at an angle of   above the horizontal. If there is no air resistance, what is the speed of the ball when it returns to the same horizontal level?

Accepted Answer

A)  9.8 m/s 
B)  8.0 m/s 
C)  4.0 m/s 
D)  16 m/s 
A)  9.8 m/s 
B)  8.0 m/s 
C)  4.0 m/s 
D)  16 m/s

Question 3

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

Accepted Answer

A) True 
 B)False

Question 4

The figure shows four vectors,   having magnitudes  10.0 m, 8.00 m, 6.00 m, and  2.00 m, respectively. Find the magnitude of the sum of these four vectors.

Accepted Answer

The answer of The figure shows four vectors,  ...

Question 5

A hockey puck slides off the edge of a platform with an initial velocity of 20 m/s horizontally. The height of the platform above the ground is 2.0 m. What is the magnitude of the velocity of the puck
Just before it touches the ground? You can neglect air resistance.

Accepted Answer

A)  25 m/s 
B)  6.3 m/s 
C)  22 m/s 
D)  21 m/s 
E)  24 m/s 
A)  25 m/s 
B)  6.3 m/s 
C)  22 m/s 
D)  21 m/s 
E)  24 m/s

Question 6

The sum of two vectors of fixed magnitudes has its minimum magnitude when the angle between these vectors is

Accepted Answer

A)    
B)     
C)    
D)    
E)    
A)    
B)     
C)    
D)    
E)

Question 7

A plane flying horizontally at a speed of 50 m/s and at an elevation of 160 m drops a package, and 2.0 s later it drops a second package. How far apart will the two packages land on the ground if air
Resistance is negligible?

Accepted Answer

A)  320 m 
B)  100 m 
C)  160 m 
D)  180 m 
A)  320 m 
B)  100 m 
C)  160 m 
D)  180 m

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

Question 9

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

Accepted Answer

A) True 
 B)False

Question 10

If   and their magnitudes are given by  A+B=C , then the vectors   are oriented

Accepted Answer

A)  antiparallel to each other (in opposite directions). 
B)  parallel to each other (in the same direction). 
C)  perpendicular relative to one other. 
D)  It is impossible to know from the given information. 
A)  antiparallel to each other (in opposite directions). 
B)  parallel to each other (in the same direction). 
C)  perpendicular relative to one other. 
D)  It is impossible to know from the given information.

Question 11

The figure shows four vectors,   having magnitudes  12.0 m, 10.0 m, 8.0 m, and  4.0 m, respectively. The sum of these four vectors is

Accepted Answer

A)   19.5 m  at an angle   with respect to  +x -axis. 
B)   8.20 m at an angle   with respect to  +x -axis. 
C)   16.4 m at an angle   with respect to  +x -axis. 
D)   19.5 m at an angle   with respect to  +x -axis. 
E)   16.4 m at an angle   with respect to  +x -axis. 
A)   19.5 m  at an angle   with respect to  +x -axis. 
B)   8.20 m at an angle   with respect to  +x -axis. 
C)   16.4 m at an angle   with respect to  +x -axis. 
D)   19.5 m at an angle   with respect to  +x -axis. 
E)   16.4 m at an angle   with respect to  +x -axis.

Question 12

At target practice, a rifle bullet is fired at an angle o   ° below the horizontal with an
initial velocity of 800 m/s from the top of a cliff 80 m high. How far from the base of the
cliff does it strike the level ground below if air resistance is negligible?

Accepted Answer

The answer of At target practice, a rifle bullet is...

Question 13

An athlete competing in the long jump leaves the ground with a speed of 9.14 m/s at an angle of   above the horizontal. How long does the athlete stay in the air, assuming no significant air resistance?

Accepted Answer

A)  0.50 s 
B)  1.1 s 
C)  0.88 s 
D)  2.5 s 
E)  0.54 s 
A)  0.50 s 
B)  1.1 s 
C)  0.88 s 
D)  2.5 s 
E)  0.54 s

Question 14

A plane moving 200 m/s horizontally fires a projectile with speed 50 m/s in a forward direction 30.0° below the horizontal. At that instant, what is the speed of the projectile with respect to a
Stationary observer on the ground?

Accepted Answer

A)  268 m/s 
B)  293 m/s 
C)  245 m/s 
D)  250 m/s 
A)  268 m/s 
B)  293 m/s 
C)  245 m/s 
D)  250 m/s

Question 15

The magnitude of a vector an only zero if all of its components are zero.

Accepted Answer

A) True 
 B)False

Question 16

A high-speed dart is shot from ground level with a speed of 150 m/s at an ang   ° above the horizontal. What is the vertical component of its velocity after 4.0 s if air resistance is neglected?

Accepted Answer

A)  75 m/s 
B)  36 m/s 
C)  130 m/s 
D)  38 m/s 
E)  150 m/s 
A)  75 m/s 
B)  36 m/s 
C)  130 m/s 
D)  38 m/s 
E)  150 m/s

Question 17

The figure shows three vectors,   along with their magnitudes. Determine the magnitude and direction of the vector given by

Accepted Answer

100 m at 3

Question 18

An object is moving with constant non-zero velocity. Which of the following statements about it must be true?

Accepted Answer

A)  A constant force is being applied to it in the direction opposite of motion. 
B)  The net force on the object is zero. 
C)  A constant force is being applied to it perpendicular to the direction of motion. 
D)  A constant force is being applied to it in the direction of motion. 
E)  Its acceleration is in the same direction as it velocity. 
A)  A constant force is being applied to it in the direction opposite of motion. 
B)  The net force on the object is zero. 
C)  A constant force is being applied to it perpendicular to the direction of motion. 
D)  A constant force is being applied to it in the direction of motion. 
E)  Its acceleration is in the same direction as it velocity.

Question 19

A player kicks a soccer ball in a high arc toward the opponent's goal. At the highest point in its trajectory

Accepted Answer

A)  the ball's velocity points downward. 
B)  the ball's acceleration is zero but its velocity is not zero. 
C)  the ball's acceleration points upward. 
D)  both the velocity and the acceleration of the soccer ball are zero. 
E)  neither the ball's velocity nor its acceleration are zero. 
A)  the ball's velocity points downward. 
B)  the ball's acceleration is zero but its velocity is not zero. 
C)  the ball's acceleration points upward. 
D)  both the velocity and the acceleration of the soccer ball are zero. 
E)  neither the ball's velocity nor its acceleration are zero.

Question 20

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. How fast can she swim in still water?

Accepted Answer

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

Exam 3: Kinematics in Two Dimensions; Vectors

Vector has a magnitude of 6.0 m and points north of east. Vector has a magnitude of 4.0 m and points west of north. The resultant vector is given by

A ball is thrown at an original speed of 8.0 m/s at an angle of above the horizontal. If there is no air resistance, what is the speed of the ball when it returns to the same horizontal level?

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

The figure shows four vectors, having magnitudes 10.0 m, 8.00 m, 6.00 m, and 2.00 m, respectively. Find the magnitude of the sum of these four vectors.

A hockey puck slides off the edge of a platform with an initial velocity of 20 m/s horizontally. The height of the platform above the ground is 2.0 m. What is the magnitude of the velocity of the puck Just before it touches the ground? You can neglect air resistance.

The sum of two vectors of fixed magnitudes has its minimum magnitude when the angle between these vectors is

A plane flying horizontally at a speed of 50 m/s and at an elevation of 160 m drops a package, and 2.0 s later it drops a second package. How far apart will the two packages land on the ground if air Resistance is negligible?

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?

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

If and their magnitudes are given by A+B=C , then the vectors are oriented

The figure shows four vectors, having magnitudes 12.0 m, 10.0 m, 8.0 m, and 4.0 m, respectively. The sum of these four vectors is

At target practice, a rifle bullet is fired at an angle o ° below the horizontal with an initial velocity of 800 m/s from the top of a cliff 80 m high. How far from the base of the cliff does it strike the level ground below if air resistance is negligible?

An athlete competing in the long jump leaves the ground with a speed of 9.14 m/s at an angle of above the horizontal. How long does the athlete stay in the air, assuming no significant air resistance?

A plane moving 200 m/s horizontally fires a projectile with speed 50 m/s in a forward direction 30.0° below the horizontal. At that instant, what is the speed of the projectile with respect to a Stationary observer on the ground?

The magnitude of a vector an only zero if all of its components are zero.

A high-speed dart is shot from ground level with a speed of 150 m/s at an ang ° above the horizontal. What is the vertical component of its velocity after 4.0 s if air resistance is neglected?

The figure shows three vectors, along with their magnitudes. Determine the magnitude and direction of the vector given by

An object is moving with constant non-zero velocity. Which of the following statements about it must be true?

A player kicks a soccer ball in a high arc toward the opponent's goal. At the highest point in its trajectory

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. How fast can she swim in still water?

Introduction, Measurement, Estimating

Describing Motion: Kinematics in One Dimension

Dynamics: Newtons Laws of Motion

Circular Motion; Gravitation

Work and Energy

Linear Momentum

Rotational Motion

Static Equilibrium; Elasticity and Fracture

Fluids

Oscillations and Waves

Sound

Temperature and Kinetic Theory

Heat

The Laws of Thermodynamics

Electric Charge and Electric Field

Electric Potential

Electric Currents

Dc Circuits

Magnetism

Electromagnetic Induction and Faradays Law

Electromagnetic Waves

Light: Geometric Optics

The Wave Nature of Light

Optical Instruments

The Special Theory of Relativity

Early Quantum Theory and Models of the Atom

Quantum Mechanics of Atoms

Molecules and Solids

Nuclear Physics and Radioactivity

Nuclear Energy; Effects and Uses of Radiation

Elementary Particles

Astrophysics and Cosmology

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