Question 1

A hiker walks 200 m west and then walks 100 m north.In what direction is her resulting displacement?

Accepted Answer

A) north 
B) west 
C) northwest 
D) None of the answers is correct. 
A) north 
B) west 
C) northwest 
D) None of the answers is correct. D

Question 2

Two projectiles are launched at 100 m/s, the angle of elevation for the first being 30$\degree$ and for the second 60$\degree$.Which of the following statements is false?

Accepted Answer

A) Both projectiles have the same acceleration while in flight. 
B) The second projectile has the lower speed at maximum altitude. 
C) Both projectiles have the same range. 
D) All of the above statements are false. 
A) Both projectiles have the same acceleration while in flight. 
B) The second projectile has the lower speed at maximum altitude. 
C) Both projectiles have the same range. 
D) All of the above statements are false. D

Question 3

Five boys are pushing on a snowball, and each is pushing with a force of 10.0 N.However, each boy is pushing in a different direction.They are pushing north, northeast, east, southeast, and south.(Each boy is pushing at an angle of 45.0$\degree$ relative to his neighbor.) What is the magnitude of the total force on the ball?

Accepted Answer

A) 0 
B) 17.1 N 
C) 24.1 N 
D) 27.1 N 
A) 0 
B) 17.1 N 
C) 24.1 N 
D) 27.1 N C

Question 4

Vector   points north and vector   points east.If   =   -   , then vector   points:

Accepted Answer

A) north of east. 
B) south of east. 
C) north of west. 
D) south of west. 
A) north of east. 
B) south of east. 
C) north of west. 
D) south of west.

Question 5

Vector   is 3.0 units in length and points along the positive x-axis; vector   is 4.0 units in length and points along a direction 150$\degree$from the positive x-axis.What is the direction of the resultant with respect to the positive x-axis?

Accepted Answer

A) 77$\degree$ 
B) 13$\degree$ 
C) 86$\degree$ 
D) 103$\degree$ 
A) 77$\degree$ 
B) 13$\degree$ 
C) 86$\degree$ 
D) 103$\degree$

Question 6

Which of the following is an example of a vector quantity?

Accepted Answer

A) velocity 
B) temperature 
C) volume 
D) mass 
A) velocity 
B) temperature 
C) volume 
D) mass

Question 7

A stone is thrown with an initial speed of 15 m/s at an angle of 53$\degree$above the horizontal from the top of a 35 m building.If g = 9.8 m/s2 and air resistance is negligible, then what is the magnitude of the horizontal component of velocity as the rock strikes the ground?

Accepted Answer

A) 7.5 m/s 
B) 9.0 m/s 
C) 12 m/s 
D) 29 m/s 
A) 7.5 m/s 
B) 9.0 m/s 
C) 12 m/s 
D) 29 m/s

Question 8

A stone is thrown at an angle of 30$\degree$ above the horizontal from the top edge of a cliff with an initial speed of 12 m/s.A stop watch measures the stone's trajectory time from top of cliff to bottom to be 5.6 s.What is the height of the cliff? (g = 9.8 m/s2 and air resistance is negligible)

Accepted Answer

A) 58 m 
B) 154 m 
C) 120 m 
D) 197 m 
A) 58 m 
B) 154 m 
C) 120 m 
D) 197 m

Question 9

An object, initially moving in the negative x-direction, is subjected to a change in velocity in the positive y-direction.If the resulting velocity vector is drawn from the origin, into which quadrant does this vector point?

Accepted Answer

A) 1st 
B) 2nd 
C) 3rd 
D) None, since the object is now moving in the y-direction. 
A) 1st 
B) 2nd 
C) 3rd 
D) None, since the object is now moving in the y-direction.

Question 10

A runner circles a track of radius 100 m in 100 s moving at a constant rate.If the runner was initially moving north, what has been the runner's average acceleration when halfway around the track?

Accepted Answer

A) At a constant rate, the average acceleration would be zero. 
B) 2 m/s2, west 
C) 0.25 m/s2, south 
D) No answer is correct. 
A) At a constant rate, the average acceleration would be zero. 
B) 2 m/s2, west 
C) 0.25 m/s2, south 
D) No answer is correct.

Question 11

I walk six miles in a straight line in a direction north of east, and I end up two miles east and several miles north.How many degrees north of east have I walked?

Accepted Answer

A) 19$\degree$ 
B) 45$\degree$ 
C) 60$\degree$ 
D) 71$\degree$ 
A) 19$\degree$ 
B) 45$\degree$ 
C) 60$\degree$ 
D) 71$\degree$

Question 12

Vector   is 3.0 units in length and points along the positive x-axis; vector   is 4.0 units in length and points along a direction 150$\degree$from the positive x-axis.What is the magnitude of the resultant when vectors   and   are added?

Accepted Answer

A) 7.0 
B) 6.7 
C) 4.7 
D) 2.1 
A) 7.0 
B) 6.7 
C) 4.7 
D) 2.1

Question 13

When three vectors are added graphically and form a closed triangle, the largest enclosed angle between any two of the vectors cannot be greater than:

Accepted Answer

A) 60$\degree$. 
B) 90$\degree$. 
C) 180$\degree$. 
D) No maximum exists. 
A) 60$\degree$. 
B) 90$\degree$. 
C) 180$\degree$. 
D) No maximum exists.

Question 14

Arvin the Ant travels 30 cm eastward, then 25 cm northward, and finally 15 cm westward.What is Arvin's direction of displacement with respect to his original position?

Accepted Answer

A) 59$\degree$ N of E 
B) 29$\degree$ N of E 
C) 29$\degree$ N of W 
D) 77$\degree$ N of E 
A) 59$\degree$ N of E 
B) 29$\degree$ N of E 
C) 29$\degree$ N of W 
D) 77$\degree$ N of E

Question 15

When we add a displacement vector to another displacement vector, the result is:

Accepted Answer

A) a velocity. 
B) an acceleration. 
C) another displacement. 
D) a scalar. 
A) a velocity. 
B) an acceleration. 
C) another displacement. 
D) a scalar.

Question 16

Wiley Coyote has missed the elusive road runner once again.This time, he leaves the edge of the cliff at 50.0 m/s horizontal velocity.If the canyon is 100 m deep, how far from his starting point at the edge of the cliff does the coyote land?

Accepted Answer

A) 226 m 
B) 247 m 
C) 339 m 
D) 400 m 
A) 226 m 
B) 247 m 
C) 339 m 
D) 400 m

Question 17

In a 2-dimensional Cartesian coordinate system the y-component of a given vector is equal to that vector's magnitude multiplied by which trigonometric function, with respect to the angle between vector and y-axis?

Accepted Answer

A) sine 
B) cosine 
C) tangent 
D) cotangent 
A) sine 
B) cosine 
C) tangent 
D) cotangent

Question 18

A ball is rolled horizontally off a table with an initial speed of 0.24 m/s.A stop watch measures the ball's trajectory time from table to the floor to be 0.30 s.How far away from the table does the ball land? (g = 9.8 m/s2 and air resistance is negligible)

Accepted Answer

A) 0.055 m 
B) 0.072 m 
C) 1.2 m 
D) 1.9 m 
A) 0.055 m 
B) 0.072 m 
C) 1.2 m 
D) 1.9 m

Question 19

A plane is moving due north, directly towards its destination.Its airspeed is 200 mph.A constant breeze is blowing from west to east at 40 mph.How long will it take for the plane to travel 200 miles north?

Accepted Answer

A) one hour 
B) more than one hour 
C) less than one hour 
D) more information is needed 
A) one hour 
B) more than one hour 
C) less than one hour 
D) more information is needed

Question 20

A helicopter is traveling at 40 m/s at a constant altitude of 100 m over a level field.If a wheel falls off the helicopter, with what speed will it hit the ground? (g = 9.8 m/s2 and air resistance negligible)

Accepted Answer

A) 40 m/s 
B) 50 m/s 
C) 60 m/s 
D) 70 m/s 
A) 40 m/s 
B) 50 m/s 
C) 60 m/s 
D) 70 m/s

Exam 3: Vectors and Two-Dimensional Motion

A hiker walks 200 m west and then walks 100 m north.In what direction is her resulting displacement?

Two projectiles are launched at 100 m/s, the angle of elevation for the first being 30 °\degree° and for the second 60 °\degree° .Which of the following statements is false?

Vector points north and vector points east.If = - , then vector points:

Vector is 3.0 units in length and points along the positive x-axis; vector is 4.0 units in length and points along a direction 150 °\degree° from the positive x-axis.What is the direction of the resultant with respect to the positive x-axis?

Which of the following is an example of a vector quantity?

A stone is thrown with an initial speed of 15 m/s at an angle of 53 °\degree° above the horizontal from the top of a 35 m building.If g = 9.8 m/s2 and air resistance is negligible, then what is the magnitude of the horizontal component of velocity as the rock strikes the ground?

An object, initially moving in the negative x-direction, is subjected to a change in velocity in the positive y-direction.If the resulting velocity vector is drawn from the origin, into which quadrant does this vector point?

A runner circles a track of radius 100 m in 100 s moving at a constant rate.If the runner was initially moving north, what has been the runner's average acceleration when halfway around the track?

I walk six miles in a straight line in a direction north of east, and I end up two miles east and several miles north.How many degrees north of east have I walked?

Vector is 3.0 units in length and points along the positive x-axis; vector is 4.0 units in length and points along a direction 150 °\degree° from the positive x-axis.What is the magnitude of the resultant when vectors and are added?

When three vectors are added graphically and form a closed triangle, the largest enclosed angle between any two of the vectors cannot be greater than:

Arvin the Ant travels 30 cm eastward, then 25 cm northward, and finally 15 cm westward.What is Arvin's direction of displacement with respect to his original position?

When we add a displacement vector to another displacement vector, the result is:

Wiley Coyote has missed the elusive road runner once again.This time, he leaves the edge of the cliff at 50.0 m/s horizontal velocity.If the canyon is 100 m deep, how far from his starting point at the edge of the cliff does the coyote land?

In a 2-dimensional Cartesian coordinate system the y-component of a given vector is equal to that vector's magnitude multiplied by which trigonometric function, with respect to the angle between vector and y-axis?

A ball is rolled horizontally off a table with an initial speed of 0.24 m/s.A stop watch measures the ball's trajectory time from table to the floor to be 0.30 s.How far away from the table does the ball land? (g = 9.8 m/s2 and air resistance is negligible)

A plane is moving due north, directly towards its destination.Its airspeed is 200 mph.A constant breeze is blowing from west to east at 40 mph.How long will it take for the plane to travel 200 miles north?

A helicopter is traveling at 40 m/s at a constant altitude of 100 m over a level field.If a wheel falls off the helicopter, with what speed will it hit the ground? (g = 9.8 m/s2 and air resistance negligible)

Introduction

Motion in One Dimension

The Laws of Motion

Energy

Momentum and Collisions

Rotational Motion and the Law of Gravity

Rotational Equilibrium and Rotational Dynamics

Solids and Fluids

Thermal Physics

Energy in Thermal Processes

The Laws of Thermodynamics

Vibrations and Waves

Sound

Electric Forces and Electric Fields

Electrical Energy and Capacitance

Current and Resistance

Direct-Current Circuits

Magnetism

Induced Voltages and Inductance

Alternating Current Circuits and Electromagnetic Waves

Reflection and Refraction of Light

Mirrors and Lenses

Wave Optics

Optical Instruments

Relativity

Quantum Physics

Atomic Physics

Nuclear Physics

Nuclear Energy and Elementary Particles

Filters

Two projectiles are launched at 100 m/s, the angle of elevation for the first being 30 $\degree$ and for the second 60 $\degree$ .Which of the following statements is false?

A stone is thrown with an initial speed of 15 m/s at an angle of 53 $\degree$ above the horizontal from the top of a 35 m building.If g = 9.8 m/s² and air resistance is negligible, then what is the magnitude of the horizontal component of velocity as the rock strikes the ground?

A ball is rolled horizontally off a table with an initial speed of 0.24 m/s.A stop watch measures the ball's trajectory time from table to the floor to be 0.30 s.How far away from the table does the ball land? (g = 9.8 m/s² and air resistance is negligible)

A helicopter is traveling at 40 m/s at a constant altitude of 100 m over a level field.If a wheel falls off the helicopter, with what speed will it hit the ground? (g = 9.8 m/s² and air resistance negligible)