Question 1

Vector   = -3.00   + 3.00   and vector   = 3.00   + 4.00   . What is vector   =   +   ?

Accepted Answer

A) 0.00   + 3.00
  
B) 7.00   + 7.00
  
C) -3.00   + 7.00
  
D) 0.00   + 7.00
  
E) -3.00   + -3.00
  
A) 0.00   + 3.00
  
B) 7.00   + 7.00
  
C) -3.00   + 7.00
  
D) 0.00   + 7.00
  
E) -3.00   + -3.00

Question 2

If   -   =   and A-B=C, then the vectors   and   are oriented perpendicular relative to one other.

Accepted Answer

A) True 
 B)False

Question 3

A ball is thrown at a 30.0° angle above the horizontal across level ground. It is released from a height of 2.00 m above the ground with a speed of 18.0 m/s. How far does the ball travel horizontally before it strikes the ground?

Accepted Answer

A) 28.6 m 
B) 24.0 m 
C) 26.5 m 
D) 10.5 m 
E) 31.7 m 
A) 28.6 m 
B) 24.0 m 
C) 26.5 m 
D) 10.5 m 
E) 31.7 m

Question 4

A car is moving with a velocity (3.0 m/s)x + (1.0 m/s)y and 2.5 seconds later its velocity is (6.0 m/s)x - (3.0 m/s)y. What is the magnitude of the average acceleration of the car?

Accepted Answer

A) 0.82 m/s2 
B) 1.6 m/s2 
C) 2.0 m/s2 
D) 4.5 m/s2 
E) 6.2 m/s2 
A) 0.82 m/s2 
B) 1.6 m/s2 
C) 2.0 m/s2 
D) 4.5 m/s2 
E) 6.2 m/s2

Question 5

Vector   = 4.0 m points eastward and vector   = 3.0 m points westward. The resultant vector   +   is given by

Accepted Answer

A) 7.0 m east. 
B) 7.0 m west. 
C) 1.0 m east. 
D) 1.0 m west. 
E) 3.5 m west. 
A) 7.0 m east. 
B) 7.0 m west. 
C) 1.0 m east. 
D) 1.0 m west. 
E) 3.5 m west.

Question 6

Refer to Fig. 3-2. Vector   as expressed in terms of vectors   and   is given by

Accepted Answer

A)    +
  . 
B)    -
  . 
C)    . 
D)    . 
E) None of the other choices is correct. 
A)    +
  . 
B)    -
  . 
C)    . 
D)    . 
E) None of the other choices is correct.

Question 7

Vector   = 2.00   + -1.00   and vector   = 3.00   + 4.00   . What is vector   =   -   ?

Accepted Answer

A) 1.00   + 5.00
  
B) 1.00   + 3.00
  
C) -1.00   + -3.00
  
D) -1.00   + 3.00
  
E) -1.00   + -5.00
  
A) 1.00   + 5.00
  
B) 1.00   + 3.00
  
C) -1.00   + -3.00
  
D) -1.00   + 3.00
  
E) -1.00   + -5.00

Question 8

An Olympic athlete throws a javelin at four different angles above the horizontal, each with the same speed: 30°, 40°, 60°, and 80°. Which two throws cause the javelin to land the same distance away?

Accepted Answer

A) 30° and 80° 
B) 40° and 60° 
C) 30° and 40° 
D) 40° and 80° 
E) 30° and 60° 
A) 30° and 80° 
B) 40° and 60° 
C) 30° and 40° 
D) 40° and 80° 
E) 30° and 60°

Question 9

FIGURE 3-2  
-Refer to Fig. 3-2. Vector   as expressed in terms of vectors   and   is given by

Accepted Answer

A)    +
  . 
B)    -
  . 
C)    . 
D)    . 
E) None of the other choices is correct. 
A)    +
  . 
B)    -
  . 
C)    . 
D)    . 
E) None of the other choices is correct.

Question 10

Under what condition is   =   -   ?

Accepted Answer

A) The statement is always true. 
B) Vectors   and
  are in opposite directions. 
C) Vectors   and
  are in perpendicular directions. 
D) The statement is never true. 
E) Vectors   and
  are in the same direction. 
A) The statement is always true. 
B) Vectors   and
  are in opposite directions. 
C) Vectors   and
  are in perpendicular directions. 
D) The statement is never true. 
E) Vectors   and
  are in the same direction.

Question 11

Under what condition is   =   +   ?

Accepted Answer

A) The magnitude of vector   is zero. 
B) Vectors   and
  are in opposite directions. 
C) Vectors   and
  are in the same direction. 
D) Vectors   and
  are in perpendicular directions. 
E) both A and B 
A) The magnitude of vector   is zero. 
B) Vectors   and
  are in opposite directions. 
C) Vectors   and
  are in the same direction. 
D) Vectors   and
  are in perpendicular directions. 
E) both A and B

Question 12

If   -   =0, then the vectors   and   have equal magnitudes and are directed in the same direction.

Accepted Answer

A) True 
 B)False

Question 13

FIGURE 3-1  
-Refer to Fig. 3-1. The components of vectors   and   are

Accepted Answer

A) Ax = 0 Bx = B sin 30° Ay = 0 By = B cos30°. 
B) Ax = A sin90° Bx = B cos60° Ay = A cos90° By = B sin60°. 
C) Ax = A cos0° Bx = -B cos60° Ay = A cos90° By = B cos30°. 
D) Ax = A cos90° Bx = B sin60° Ay = A sin90° By = B cos60°. 
E) Ax = A cos90° Bx = 0 Ay = A sin90° By = 0 
A) Ax = 0 Bx = B sin 30° Ay = 0 By = B cos30°. 
B) Ax = A sin90° Bx = B cos60° Ay = A cos90° By = B sin60°. 
C) Ax = A cos0° Bx = -B cos60° Ay = A cos90° By = B cos30°. 
D) Ax = A cos90° Bx = B sin60° Ay = A sin90° By = B cos60°. 
E) Ax = A cos90° Bx = 0 Ay = A sin90° By = 0

Question 14

Vector   = 3.00   + -1.00   and vector   = 3.00   + 4.00   . What is vector   = 2.00   + 3.00   ?

Accepted Answer

A) 3.00   + 6.00
  
B) 5.00   + 1.00
  
C) -3.00   + 9.00
  
D) 15.0   + 10.0
  
E) 2.00   + 3.00
  
A) 3.00   + 6.00
  
B) 5.00   + 1.00
  
C) -3.00   + 9.00
  
D) 15.0   + 10.0
  
E) 2.00   + 3.00

Question 15

For general projectile motion, the horizontal component of a projectile's acceleration

Accepted Answer

A) is zero. 
B) remains a non-zero constant. 
C) continuously increases. 
D) continuously decreases. 
E) any of the above, depending on position. 
A) is zero. 
B) remains a non-zero constant. 
C) continuously increases. 
D) continuously decreases. 
E) any of the above, depending on position.

Question 16

When a football in a field goal attempt reaches its maximum height, how does its speed compare to its initial speed?

Accepted Answer

A) It is zero. 
B) It is less than its initial speed. 
C) It is equal to its initial speed. 
D) It is greater than its initial speed. 
E) Cannot be determined without additional information. 
A) It is zero. 
B) It is less than its initial speed. 
C) It is equal to its initial speed. 
D) It is greater than its initial speed. 
E) Cannot be determined without additional information.

Question 17

If   +   =   and A+B=C, then the vectors   and   are oriented perpendicular relative to one other.

Accepted Answer

A) True 
 B)False

Question 18

FIGURE 3-3  
-Vector   = 6.0 m and points 30° north of east. Vector   = 4.0 m and points 30° south of west. The resultant vector   +   is given by

Accepted Answer

A) 2.0 m at an angle 30° north of east. 
B) 2.0 m at an angle 60° north of east. 
C) 10.0 m at an angle 60° east of north. 
D) 10.0 m at an angle 30° north of east. 
E) 10.0 m at an angle 60° north of east. 
A) 2.0 m at an angle 30° north of east. 
B) 2.0 m at an angle 60° north of east. 
C) 10.0 m at an angle 60° east of north. 
D) 10.0 m at an angle 30° north of east. 
E) 10.0 m at an angle 60° north of east.

Question 19

A car moves from the point (3.0 m)x + (5.0 m)y to the point (8.0 m)x - (7.0 m)y in 2.0 s. What is the magnitude of the average velocity of the car?

Accepted Answer

A) 6.5 m/s 
B) 13 m/s 
C) 9.0 m/s 
D) 4.5 m/s 
E) 3.3 m/s 
A) 6.5 m/s 
B) 13 m/s 
C) 9.0 m/s 
D) 4.5 m/s 
E) 3.3 m/s

Question 20

A hockey puck slides off the edge of a table with an initial velocity of 20.0 m/s. The height of the table above the ground is 2.0 m. What is the magnitude of the vertical component of the velocity of the puck just before it hits the ground?

Accepted Answer

A) 20.0 m/s 
B) 6.26 m/s 
C) 12.5 m/s 
D) 19.6 m/s 
E) 21 m/s 
A) 20.0 m/s 
B) 6.26 m/s 
C) 12.5 m/s 
D) 19.6 m/s 
E) 21 m/s

Exam 3: Kinematics in Two or Three Dimensions; Vectors

Vector = -3.00 + 3.00 and vector = 3.00 + 4.00 . What is vector = + ?

If - = and A-B=C, then the vectors and are oriented perpendicular relative to one other.

A ball is thrown at a 30.0° angle above the horizontal across level ground. It is released from a height of 2.00 m above the ground with a speed of 18.0 m/s. How far does the ball travel horizontally before it strikes the ground?

A car is moving with a velocity (3.0 m/s)x + (1.0 m/s)y and 2.5 seconds later its velocity is (6.0 m/s)x - (3.0 m/s)y. What is the magnitude of the average acceleration of the car?

Vector = 4.0 m points eastward and vector = 3.0 m points westward. The resultant vector + is given by

Refer to Fig. 3-2. Vector as expressed in terms of vectors and is given by

Vector = 2.00 + -1.00 and vector = 3.00 + 4.00 . What is vector = - ?

An Olympic athlete throws a javelin at four different angles above the horizontal, each with the same speed: 30°, 40°, 60°, and 80°. Which two throws cause the javelin to land the same distance away?

FIGURE 3-2 -Refer to Fig. 3-2. Vector as expressed in terms of vectors and is given by

Under what condition is = - ?

Under what condition is = + ?

If - =0, then the vectors and have equal magnitudes and are directed in the same direction.

FIGURE 3-1 -Refer to Fig. 3-1. The components of vectors and are

Vector = 3.00 + -1.00 and vector = 3.00 + 4.00 . What is vector = 2.00 + 3.00 ?

For general projectile motion, the horizontal component of a projectile's acceleration

When a football in a field goal attempt reaches its maximum height, how does its speed compare to its initial speed?

If + = and A+B=C, then the vectors and are oriented perpendicular relative to one other.

FIGURE 3-3 -Vector = 6.0 m and points 30° north of east. Vector = 4.0 m and points 30° south of west. The resultant vector + is given by

A car moves from the point (3.0 m)x + (5.0 m)y to the point (8.0 m)x - (7.0 m)y in 2.0 s. What is the magnitude of the average velocity of the car?

A hockey puck slides off the edge of a table with an initial velocity of 20.0 m/s. The height of the table above the ground is 2.0 m. What is the magnitude of the vertical component of the velocity of the puck just before it hits the ground?

Introduction, Measurement, Estimating

Describing Motion: Kinematics in One Dimension

Dynamics: Newtons Laws of Motion

Using Newtons Laws: Friction, Circular Motion, Drag Forces

Gravitation and Newtons6 Synthesis

Work and Energy

Conservation of Energy

Linear Momentum

Rotational Motion

Angular Momentum; General Rotation

Static Equilibrium; Elasticity and Fracture

Fluids

Oscillations

Wave Motion

Sound

Temperature, Thermal Expansion, and the Ideal Gas Law

Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

Second Law of Thermodynamics

Electric Charge and Electric Field

Gausss Law

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Capacitance, Dielectrics, Electric Energy Storage

Electric Currents and Resistance

Dc Circuits

Magnetism

Sources of Magnetic Field

Electromagnetic Induction and Faradays Law

Inductance, Electromagnetic Oscillations, and Ac Circuits

Maxwells Equations and Electromagnetic Waves

Light: Reflection and Refraction

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The Wave Nature of Light; Interference

Diffraction and Polarization

Special Theory of Relativity

Early Quantum Theory and Models of the Atom

Quantum Mechanics

Quantum Mechanics of Atoms

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Nuclear Energy: Efects and Uses of Radiation

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A car is moving with a velocity (3.0 m/s)^x + (1.0 m/s)^y and 2.5 seconds later its velocity is (6.0 m/s)^x - (3.0 m/s)^y. What is the magnitude of the average acceleration of the car?

A car moves from the point (3.0 m)^x + (5.0 m)^y to the point (8.0 m)^x - (7.0 m)^y in 2.0 s. What is the magnitude of the average velocity of the car?