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Introductory Physics I Midterm Exam - 2969 Verified Questions

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Introductory Physics I Midterm Exam

Course Introduction

Introductory Physics I is a foundational course designed to familiarize students with the fundamental principles and concepts of physics. The course typically covers topics such as kinematics, Newtons laws of motion, energy, work, power, momentum, and the basics of rotational motion. Students will engage with both conceptual understanding and quantitative problem-solving, making use of laboratory experiments to reinforce theoretical knowledge. By the end of the course, students will develop essential skills in applying physics principles to real-world phenomena and gain a solid groundwork for more advanced studies in the physical sciences.

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Practice of Physics 1st Global Edition by Eric Mazur

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Chapter 1: Foundations

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Q1) What is 56 + (32.00)/(1.2465 + 3.45)written with the correct number of significant figures?

A) 62.8

B) 62.812

C) 62.81

D) 63

E) 62.8123846

Answer: D

Q2) Add 3685 g and 66.8 kg and express your answer in milligrams (mg).

A) 7.05 × 10<sup>7</sup> mg

B) 7.05 × 10<sup>4</sup> mg

C) 7.05 × 10<sup>5</sup> mg

D) 7.05 × 10<sup>6</sup> mg

Answer: A

Q3) The mass of a typical adult woman is closest to A) 20 kg.

B) 35 kg.

C) 75 kg.

D) 150 kg.

Answer: C

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Chapter 1: A: Foundations

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Q1) The position x of an object varies with time t.For which of the following equations relating x and t is the motion of the object simple harmonic motion? (There may be more than one correct choice.)

A) x = 5 sin<sup>2</sup>3t

B) x = 8 cos 3t

C) x = 4 tan 2t

D) x = 5 sin 3t

E) x = 2 cos(3t - 1)

Answer: B

Q2) The electric field between square the plates of a parallel-plate capacitor has magnitude E.The potential across the plates is maintained with constant voltage by a battery as they are pulled apart to twice their original separation,which is small compared to the dimensions of the plates.The magnitude of the electric field between the plates is now equal to

A) 4E.

B) 2E.

C) E.

D) E/2.

E) E/4.

Answer: D

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Page 4

Chapter 2: Motion in One Dimension

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Q1) If the fastest you can safely drive is 65 mi/h,what is the longest time you can stop for dinner if you must travel 541 mi in 9.6 h total?

A) 1.0 h

B) 1.3 h

C) 1.4 h

D) You can't stop at all.

Answer: B

Q2) Arthur and Betty start walking toward each other when they are 100 m apart.Arthur has a speed of 3.0 m/s and Betty has a speed of 2.0 m/s.Their dog,Spot,starts by Arthur's side at the same time and runs back and forth between them at 5.0 m/s.By the time Arthur and Betty meet,what distance has Spot run?

Answer: 100 m

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Chapter 3: Acceleration

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Q1) An airplane that is flying level needs to accelerate from a speed of 2.00 × 10<sup>2</sup> m/s to a speed of 2)40 × 10<sup>2</sup> m/s while it flies a distance of 1.20 km. What must be the acceleration of the plane?

A) 4.44 m/s<sup>2</sup>

B) 2.45 m/s<sup>2</sup>

C) 7.33 m/s<sup>2</sup>

D) 5.78 m/s<sup>2</sup>

E) 1.34 m/s<sup>2</sup>

Q2) The position of an object as a function of time is given by x(t)= at<sup>3</sup>bt<sup>2</sup> + ct - d,where a = 3.6 m/s<sup>3</sup>, b = 4.0 m/s<sup>2</sup>,c = 60 m/s,and d = 7.0 m.

(a)Find the instantaneous acceleration at t =2.4 s.

(b)Find the average acceleration over the first 2.4 seconds.

Q3) A block is given a very brief push up a 20.0° frictionless incline to give it an initial speed of 12.0 m/s.

(a) How far along the surface of the plane does the block slide before coming to rest?

(b) How much time does it take to return to its starting position?

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Chapter 4: Momentum

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Q1) As a tile falls from the roof of a building to the ground its momentum is conserved.

A)True

B)False

Q2) You are standing on a skateboard,initially at rest.A friend throws a very heavy ball towards you.You can either catch the object or deflect the object back towards your friend (such that it moves away from you with the same speed as it was originally thrown).What should you do in order to MINIMIZE your speed on the skateboard?

A) Catch the ball.

B) Deflect the ball.

C) Your final speed on the skateboard will be the same regardless whether you catch the ball or deflect the ball.

Q3) A 2.50-kg stone is dropped from rest at a height of 3.75 m.What impulse does gravity impart to this stone from the instant it is dropped until it hits the ground,assuming negligible air resistance?

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Chapter 5: Energy

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Q1) In an INELASTIC collision between two objects

A) the momentum of each object is conserved.

B) the kinetic energy of each object is conserved.

C) the momentum of the system is conserved but the kinetic energy of the system is not conserved.

D) both the momentum and the kinetic energy of the system are conserved.

E) the kinetic energy of the system is conserved, but the momentum of the system is not conserved.

Q2) A 2.3-kg object traveling at 6.1 m/s collides head-on with a 3.5-kg object traveling in the opposite direction at 4.8 m/s.If the collision is perfectly elastic,what is the final speed of the 2.3-kg object?

A) 0.48 m/s

B) 7.1 m/s

C) 3.8 m/s

D) 4.3 m/s

E) 6.6 m/s

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Chapter 6: Principle of Relativity

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Q1) A plane flies directly between two cities,A and B,which are separated by 2300 mi.From A to B,the plane flies into a 65 mi/h headwind.On the return trip from B to A,the wind velocity is unchanged.The trip from B to A takes 65 min less than the trip from A to B.What is the airspeed of the plane,assuming it is the same in both directions?

A) 530 mi/h

B) 400 mi/h

C) 480 mi/h

D) 610 mi/h

Q2) An airplane flies between two points on the ground that are 500 km apart. The destination is directly north of the origination of the flight. The plane flies with an air speed of 120 m/s. If a constant wind blows at 10.0 m/s due west during the flight,what direction must the plane fly relative to north to arrive at the destination?

A) 4.78° east of north

B) 4.76° east of north

C) 85.2° west of north

D) 4.78° west of north

E) 4.76° west of north

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Page 9

Chapter 7: Interactions

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Q1) Consider the motion of a 1.00-kg particle that moves with potential energy given by U(x)= (-2.00 Jm)/x + (4.00 Jm<sup>2</sup>)/x<sup>2</sup>. Suppose the particle is moving with a speed of 3.00 m/s when it is located at x = 1.00 m. What is the speed of the object when it is located at x = 5.00 m?

A) 2.13 m/s

B) 3.00 m/s

C) 4.68 m/s

D) 3.67 m/s

Q2) A baseball is thrown vertically upward and feels no air resistance.As it is rising

A) both its momentum and its mechanical energy are conserved.

B) its momentum is not conserved, but its mechanical energy is conserved.

C) both its momentum and its kinetic energy are conserved.

D) its kinetic energy is conserved, but its momentum is not conserved.

E) its gravitational potential energy is not conserved, buts its momentum is conserved.

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Page 10

Chapter 8: Force

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Q1) A 10,000-kg rocket blasts off from earth with a uniform upward acceleration of 2.00 m/s<sup>2</sup> and feels no air resistance. The upward thrust force its engines must provide during this acceleration is closest to

A) 20,000 N.

B) 980,000 N.

C) 118,000 N.

D) 78,000 N.

Q2) A 50.0-N box is sliding on a rough horizontal floor,and the only horizontal force acting on it is friction.You observe that at one instant the box is sliding to the right at 1.75 m/s and that it stops in 2.25 s with uniform acceleration.What magnitude force does friction exert on this box?

A) 3.97 N

B) 8.93 N

C) 38.9 N

D) 50.0 N

E) 490 N

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Chapter 9: Work

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Q1) A crane lifts a 425 kg steel beam vertically a distance of 117 m.How much work does the crane do on the beam if the beam accelerates upward at 1.8 m/s<sup>2</sup>?

Neglect frictional forces.

A) 5.8 × 10<sup>5</sup> J

B) 3.4 × 10<sup>5 </sup>J

C) 4.0 × 10<sup>5</sup> J

D) 4.9 × 10<sup>5 J</sup>

Q2) Two men,Joel and Jerry,push against a wall.Jerry stops after 10 min,while Joel is able to push for 5.0 min longer.Compare the work they do.

A) Both men do positive work, but Joel does 75% more work than Jerry.

B) Both men do positive work, but Joel does 50% more work than Jerry.

C) Both men do positive work, but Jerry does 50% more work than Joel.

D) Both men do positive work, but Joel does 25% more work than Jerry.

E) Neither of them does any work.

Q3) A 7.0-kg rock is subject to a variable force given by the equation F(x)= 6.0 N - (2.0 N/m)x + (6.0 N/m<sup>2</sup>)x<sup>2</sup>

If the rock initially is at rest at the origin,find its speed when it has moved 9.0 m.

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Chapter 10: Motion in a Plane

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Q1) What is the maximum distance we can shoot a dart,from ground level,provided our toy dart gun gives a maximum initial velocity of 2.78 m/s and air resistance is negligible?

A) 0.789 m

B) 1.58 m

C) 1.39 m

D) 0.394 m

Q2) A hockey puck slides off the edge of a table at point A with an initial velocity of 20.0 m/s and experiences no air resistance.The height of the tabletop above the ground is 2.00 m.

(a)What is the speed (not the velocity)of the puck just before it touches the ground?

(b)What is the distance between point A and the point where the puck hits the ground?

Q3) Two boys searching for buried treasure are standing underneath the same tree.One boy walks 18 m east and then 18 m north. The other boy walks 16 m west and then 11 m north. Find the scalar product of their net displacements from the tree.

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Chapter 11: Motion in a Circle

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Q1) Two particles,A and B,are in uniform circular motion about a common center.The acceleration of particle A is 8.5 times that of particle B.The period of particle B is 2.0 times the period of particle A.The ratio of the radius of the motion of particle A to that of particle B is closest to

A) r<sub>A</sub>/r<sub>B</sub> = 2.1.

B) r<sub>A</sub>/r<sub>B</sub> = 4.3.

C) r<sub>A</sub>/r<sub>B</sub> = 18.

D) r<sub>A</sub>/r<sub>B</sub> = 0.24.

E) r<sub>A</sub>/r<sub>B</sub> = 17.

Q2) If an object travels at a constant speed in a circular path,the acceleration of the object is

A) larger in magnitude the smaller the radius of the circle.

B) in the same direction as the velocity of the object.

C) smaller in magnitude the smaller the radius of the circle.

D) in the opposite direction of the velocity of the object.

E) zero.

Q3) A disk-shaped space station 175 m in diameter spins uniformly about an axis perpendicular to the plane of the disk through its center.How many rpm (rev/min)must this disk make so that the acceleration of all points on its rim is g/2?

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Page 14

Chapter 12: Torque

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Q1) A light board,10 m long,is supported by two sawhorses,one at one edge of the board and a second at the midpoint.A small 40-N weight is placed between the two sawhorses,3.0 m from the edge and 2.0 m from the center.What forces are exerted by the sawhorses on the board?

Q2) A thin cylindrical shell is released from rest and rolls without slipping down an inclined ramp that makes an angle of 30° with the horizontal.How long does it take it to travel the first 3.1 m?

A) 1.4 s

B) 1.1 s

C) 2.1 s

D) 1.6 s

E) 1.8 s

Q3) A 95 N force exerted at the end of a 0.50 m long torque wrench gives rise to a torque of 15 N m. What is the angle (assumed to be less than 90°)between the wrench handle and the direction of the applied force?

A) 18°

B) 14°

C) 22°

D) 25°

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Page 15

Chapter 13: Gravity

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Q1) An object drops a distance h in a time of 6.3 s on the surface of the earth (neglecting air effects).How long would it take the same object to drop the same distance on the surface of spherical asteroid X having a mass of 1.1 × 10<sup>22</sup> kg and a radius of 4.0 × 10<sup>5</sup> m? (G = 6.67 × 10<sup>-11</sup> N m<sup>2</sup>/kg<sup>2</sup>,M<sub>earth</sub> = 5.97 × 10<sup>24</sup> kg,R<sub>earth</sub> = 6.38 × 10<sup>6</sup> m)

A) 9.2 s

B) 6.3 s

C) 5.2 s

D) 12 s

E) 3.3 s

Q2) Find the orbital speed of an ice cube in the rings of Saturn.The mass of Saturn is 5.68 × 10<sup>26</sup> kg and the rings have an average radius of 100,000 km.(G = 6.67 × 10<sup>-11</sup> N m<sup>2</sup>/kg<sup>2</sup>)

A) 19.5 km/s

B) 27.5 km/s

C) 13.8 km/s

D) 1.95 km/s

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Chapter 14: Special Relativity

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Q1) A spaceship approaching an asteroid at a speed of 0.60c launches a rocket forward with a speed of 0.40c relative to the spaceship.At what speed is the rocket approaching the asteroid as measured by an astronaut on the asteroid?

A) 0.81c

B) 1.0c

C) 0.76c

D) 0.64c

E) 0.96c

Q2) You are a passenger on a spaceship.As the speed of the spaceship increases,you would observe that

A) the length of your spaceship is getting shorter.

B) the length of your spaceship is getting longer.

C) the length of your spaceship is not changing.

Q3) How much work must be done to accelerate a particle of mass 2.1 × 10<sup>-14 </sup>kg from a speed of 1.5 × 10<sup>8 </sup>m/s to a speed of 2.5 × 10<sup>8 </sup>m/s? (c = 3.00 × 10<sup>8</sup> m/s)

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Chapter 15: Periodic Motion

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Q1) A 5.0-kg block is attached to an ideal massless spring whose spring constant is 125 N/m.The block is pulled from its equilibrium position at x = 0.00 m to a position at x = +0.687 m and is released from rest.The block then executes lightly damped oscillation along the x-axis,and the damping force is proportional to the velocity.When the block first returns to x = 0.00 m,its x component of velocity is -2.0 m/s and its x component of acceleration is +5.6 m/s<sup>2</sup>.

(a)What is the magnitude of the acceleration of the block upon release at x = +0.687 m. (b)Find the damping constant b.

Q2) A 0.50-kg object is attached to an ideal massless spring of spring constant 20 N/m along a horizontal,frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position.

(a)What is the amplitude of vibration?

(b)At what location are the kinetic energy and the potential energy of the system the same?

Q3) A frictionless simple pendulum on Earth has a period of 1.75 s.On Planet X its period is 2.14 s.What is the acceleration due to gravity on Planet X?

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18

Chapter 16: Waves in One Dimension

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Q1) The vertical displacement y(x,t)of a string stretched along the horizontal x-axis is given by y(x,t)= (6.00 mm)cos[(3.25 m<sup>-1</sup>)x - (7.22 rad/s)t].

(a)What is the minimum time for each complete cycle of the wave?

(b)What is the distance between adjacent crests of the wave?

(c)How fast does this wave travel?

Q2) You are generating traveling waves on a stretched string by wiggling one end.If you suddenly begin to wiggle more rapidly without appreciably affecting the tension,you will cause the waves to move down the string

A) faster than before.

B) slower than before.

C) at the same speed as before.

Q3) A 6.00-m long rope is under a tension of 600 N. Waves travel along this rope at 40.0 m/s. What is the mass of the rope?

A) 1.00 kg

B) 1.25 kg

C) 2.25 kg

D) 2.50 kg

E) 1.12 kg

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Page 19

Chapter 17: Waves in Two and Three Dimensions

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Q1) Two people are talking at a distance of 3.0 m from where you are and you measure the sound intensity as 1.1 × 10<sup>-7</sup> W/m<sup>2</sup>.Another student is 4.0 m away from the talkers.What sound intensity does the other student measure? Assume that the sound spreads out uniformly and undergoes no significant reflections or absorption.

A) 6.2 × 10<sup>-8</sup> W/m<sup>2</sup>

B) 1.5 × 10<sup>-7</sup> W/m<sup>2</sup>

C) 8.3 × 10<sup>-8</sup> W/m<sup>2</sup>

D) 7.8 × 10<sup>-7</sup> W/m<sup>2</sup>

E) 2.5 × 10<sup>-8</sup> W/m<sup>2</sup>

Q2) If the intensity level at distance d of one trombone is 70 dB,what is the intensity level of 76 identical trombones,all at distance d?

A) 146 dB

B) 89 dB

C) 5320 dB

D) 76 dB

E) 82 dB

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Chapter 18: Fluids

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Q1) A wooden raft has a mass of 50 kg.When empty it floats in water (density 1000 kg/m<sup>3</sup>)with 69% of its volume submerged.What mass of sand can be put on the raft without it sinking?

Q2) A large cylindrical water tank is mounted on a platform with its central axis vertical.The water level is 3.75 m above the base of the tank,and base is 6.50 m above the ground.A small hole,2.22 mm in diameter,has formed in the base of the tank.Both the hole and the top of the tank are open to the air.We can ignore air resistance and treat water as an ideal fluid with a density of 1000 kg/m<sup>3</sup>.

(a)How many cubic meters of water per second is this tank losing?

(b)How fast is the water from the hole moving just as it reaches the ground?

Q3) The small piston of a hydraulic lift has a diameter of 8.0 cm,and its large piston has a diameter of 40 cm. The lift raises a load of 15,000 N.

(a)Determine the force that must be applied to the small piston.

(b)Determine the pressure applied to the fluid in the lift.

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21

Chapter 19: Entropy

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Q1) The root-mean-square speed (thermal speed)of the molecules of a gas is 200 m/s at a temperature 23.0°C. What is the mass of the individual molecules? The Boltzmann constant is 1.38 × 10<sup>-23</sup> J/K.

A) 2.13 × 10<sup>-25</sup> kg

B) 2.45 × 10<sup>-25</sup> kg

C) 5.66 × 10<sup>-25</sup> kg

D) 1.78 × 10<sup>-25</sup> kg

E) 3.11 × 10<sup>-25</sup> kg

Q2) A weather balloon contains 12.0 m<sup>3</sup> of hydrogen gas when the balloon is released from a location at which the temperature is 22.0°C and the pressure is 101 kPa.The balloon rises to a location where the temperature is -30.0°C and the pressure is 20.0 kPa.If the balloon is free to expand so that the pressure of the gas inside is equal to the ambient pressure,what is the new volume of the balloon? Assume that in both cases the hydrogen gas is in thermal equilibrium with the outside air.

A) 14.0 m<sup>3</sup>

B) 2.38 m<sup>3</sup>

C) 49.9 m<sup>3</sup>

D) 82.6 m<sup>3</sup>

E) 4.16 m<sup>3</sup>

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Page 22

Chapter 20: Energy Transferred Thermally

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Q1) A quantity of ideal gas requires 800 kJ to raise the temperature of the gas by 10.0 K when the gas is maintained at constant volume. The same quantity of gas requires 900 kJ to raise the temperature of the gas by 10.0 K when the gas is maintained at constant pressure. What is the adiabatic constant for this gas?

A) 0.889

B) 1.13

C) 1.22

D) 1.67

E) 1.40

Q2) Heat is added to a 2.0 kg piece of ice at a rate of 793.0 kW.How long will it take for the ice to melt if it was initially at 0.00°C? (The latent heat of fusion for water is 334 kJ/kg and its latent heat of vaporization is 2260 kJ/kg.)

A) 0.84 s

B) 530,000 s

C) 4.7 s

D) 670 s

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Chapter 21: Degradation of Energy

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Q1) A nuclear fission power plant has an actual efficiency of 39%.If 0.25 MW of power are produced by the nuclear fission,how much electric power does the power plant output?

A) 0.098 MW

B) 9.8 MW

C) 35 MW

D) 0.35 MW

Q2) According to the second law of thermodynamics,the entropy of any system always increases.

A)True

B)False

Q3) What is the maximum theoretical efficiency possible for a heat engine operating between a reservoir in which ice and water coexist,and a reservoir in which water and steam coexist? The pressure is constant at 1.0 atmosphere for both reservoirs.

A) 27%

B) 45%

C) 73%

D) 17%

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Chapter 22: Electric Interactions

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Q1) A +7.00 C point charge and -9.00 C point charge are placed along the x-axis at x = 0.000 cm and

X = 40.0 cm,respectively.Where must a third charge,q,be placed along the x-axis so that it does not experience any net electric force due to the other two charges?

A) -0.200 m

B) 2.99 m

C) -0.187 m

D) -2.99 m

E) 0.187 m

Q2) A positive point charge Q is fixed on a very large horizontal frictionless tabletop.A second positive point charge q is released from rest near the stationary charge and is free to move.Which statement best describes the motion of q after it is released?

A) Its speed will be greatest just after it is released.

B) Its acceleration is zero just after it is released.

C) As it moves farther and farther from Q, its acceleration will keep increasing.

D) As it moves farther and farther from Q, its speed will decrease.

E) As it moves farther and farther from Q, its speed will keep increasing.

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Page 25

Chapter 23: The Electric Field

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Q1) A proton is placed in an electric field of intensity 700 N/C.What are the magnitude and direction of the acceleration of this proton due to this field? (m<sub>proton</sub> = 1.67 × 10<sup>-27</sup> kg,e = 1.60 × 10<sup>-19</sup>C)

A) 6.71 × 10<sup>9</sup> m/s<sup>2</sup> opposite to the electric field

B) 6.71 × 10<sup>10</sup> m/s<sup>2</sup> opposite to the electric field

C) 6.71 × 10<sup>10</sup> m/s<sup>2</sup> in the direction of the electric field

D) 67.1 × 10<sup>10</sup> m/s<sup>2</sup> opposite to the electric field

) 67.1 × 10<sup>10</sup> m/s<sup>2</sup> in the direction of the electric field

Q2) The electric field 1.5 cm from a very small charged object points toward the object with a magnitude of 180,000 N/C.What is the charge on the object? (k = 1/4 <sub>0</sub> = 8.99 × 10<sup>9</sup> N m<sup>2</sup>/C<sup>2</sup>)

A) -4.5 nC

B) +4.5 nC

C) -5.0 nC

D) +5.0 nC

Q3) A 5.0- C point charge is placed at the 0.00 cm mark of a meter stick and a -4.0- C point charge is placed at the 50 cm mark. At what point on a line joining the two charges is the electric field due to these charges equal to zero?

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26

Chapter 24: Gausss Law

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Q1) An infinitely long nonconducting cylinder of radius R = 2.00 cm carries a uniform volume charge density of 18.0 µC/m<sup>3</sup>. Calculate the electric field at distance r = 1.00 cm from the axis of the cylinder. ( <sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N m<sup>2</sup>)

A) 2.50 × 10<sup>3</sup> N/C

B) 5.10 × 10<sup>3</sup> N/C

C) zero

D) 2.00 × 10<sup>3</sup> N/C

E) 10.2 × 10<sup>3</sup> N/C

Q2) Consider a spherical Gaussian surface of radius R centered at the origin.A charge Q is placed inside the sphere.To maximize the magnitude of the flux of the electric field through the Gaussian surface,the charge should be located

A) at x = 0, y = 0, z = R/2.

B) at the origin.

C) at x = R/2, y = 0, z = 0.

D) at x = 0, y = R/2, z = 0.

E) The charge can be located anywhere, since flux does not depend on the position of the charge as long as it is inside the sphere.

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27

Chapter 25: Work and Energy in Electrostatics

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Q1) Two point charges of +1.0 C and -2.0 C are located 0.50 m apart.What is the minimum amount of work needed to move the charges apart to double the distance between them?

(k = 1/4 <sub>0</sub> = 8.99 × 10<sup>9</sup> N m<sup>2</sup>/C<sup>2</sup>)

A) -36 mJ

B) +18 mJ

C) 0 mJ

D) +36 mJ

E) -18 mJ

Q2) A half-ring (semicircle)of uniformly distributed charge Q has radius R.What is the electric potential at its center?

Q3) Suppose you have two negative point charges.As you move them farther and farther apart,the potential energy of this system relative to infinity A) increases. B) decreases.

C) stays the same.

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Chapter 26: Charge Separation and Storage

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Q1) An isolated air-filled parallel-plate capacitor that is no longer connected to anything has been charged up to Q = 2.9 nC.The separation between the plates initially is 1.20 mm,and for this separation the capacitance is 31 pF.Calculate the work that must be done to pull the plates apart until their separation becomes 5.30 mm,if the charge on the plates remains constant.( <sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N m<sup>2</sup>)

Q2) A 6.0- F air-filled capacitor is connected across a 100-V voltage source. After the source fully charges the capacitor,the capacitor is immersed in transformer oil (of dielectric constant 4.5). How much ADDITIONAL charge flows from the voltage source,which remained connected during the process?

A) 1.2 mC

B) 1.5 mC

C) 1.7 mC

D) 2.1 mC

E) 2.5 mC

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Chapter 27: Magnetic Interactions

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Q1) A vertical wire carries a current vertically upward in a region where the magnetic field vector points toward the north.What is the direction of the magnetic force on this current due to the field?

A) downward B) toward the north C) toward the south D) toward the east E) toward the west

Q2) In a mass spectrometer,a singly-charged particle (charge e)has a speed of 1.0 × 10<sup>6</sup> m/s and enters a uniform magnetic field of 0.20 T. The radius of the circular orbit of the particle is 0.020 m. What is the mass of this particle? (e = 1.60 × 10<sup>-19</sup>C)

A) 3.2 × 10<sup>-28</sup> kg

B) 6.4 × 10<sup>-28</sup> kg

C) 1.7 × 10<sup>-27</sup> kg

D) 4.5 × 10<sup>-27</sup> kg

Q3) A wire along the z-axis carries a current of 6.8 A in the +z direction.Find the magnitude and direction of the force exerted on a 6.1-cm long length of the wire by a uniform magnetic field with magnitude 0.36 T in the -x direction.

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Page 30

Chapter 28: Magnetic Fields of Charged Particles in Motion

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Q1) Two long parallel wires carry currents of 10 A in opposite directions. They are separated by 40 cm. What is the magnitude of the magnetic field in the plane of the wires at a point that is 20 cm from one wire and 60 cm from the other? ( <sub>0</sub> = 4 × 10<sup>-7</sup> T m/A)

A) 1.5 µT

B) 3.3 µT

C) 6.7 µT

D) 33 µT

E) 67 µT

Q2) A 1000-turn toroidal solenoid has a central radius of 4.2 cm and is carrying a current of 1.7 A.What is the magnitude of the magnetic field inside the solenoid at the central radius? ( <sub>0</sub> = 4 × 10<sup>-7</sup> T m/A)

A) 8.1 mT

B) 51 mT

C) 16 mT

D) 81 mT

E) zero

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Chapter 29: Changing Magnetic Fields

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Q1) What is the self-inductance of a solenoid 30.0 cm long having 100 turns of wire and a cross-sectional area of 1.00 × 10<sup>-4</sup> m<sup>2</sup>? ( <sub>0</sub> = 4 × 10<sup>-7</sup> T m/A)

A) 4.19 nH

B) 4.19 pH

C) 4.19 µH

D) 4.19 mH

E) 4.19 H

Q2) A circular loop of radius 0.10 m is rotating in a uniform external magnetic field of 0.20

T. Find the magnetic flux through the loop due to the external field when the plane of the loop and the magnetic field vector are (a)parallel.

(b)perpendicular.

(c)at an angle of 30° with each other.

Q3) A large magnetic flux change through a coil must induce a greater emf in the coil than a small flux change.

A)True

B)False

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32

Chapter 30: Changing Electric Fields

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Q1) The energy per unit volume in an electromagnetic wave is A) equally divided between the electric and magnetic fields.

B) mostly in the electric field.

C) mostly in the magnetic field.

D) all in the electric field.

E) all in the magnetic field.

Q2) If the intensity of an electromagnetic wave is 80 MW/m<sup>2</sup>,what is the amplitude of the magnetic field of this wave? (c = 3.0 × 10<sup>8</sup> m/s, <sub>0</sub> = 4 × 10<sup>-7</sup> T m/A, <sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N m<sup>2</sup>)

A) 0.82 mT

B) 0.33 µT

C) 10 T

D) 14 T

E) 0.58 mT

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Chapter 31: Electric Circuits

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Q1) When a 100- resistor is connected across the terminals of a battery of emf and internal resistance r,the battery delivers 0.794 W of power to the 100- resistor. When the 100- resistor is replaced by a 200- resistor,the battery delivers 0.401 W of power to the 200- resistor.What are the emf and internal resistance of the battery?

A) = 10.0 V, r = 5.02

B) = 4.50 V, r = 4.00

C) = 9.00 V, r = 2.04

D) = 9.00 V, r = 1.01

E) = 12.0 V, r = 6.00

Q2) A silver wire has a cross sectional area A = 2.0 mm<sup>2</sup>.A total of 9.4 × 10<sup>18</sup> electrons pass through the wire in 3.0 s.The conduction electron density in silver is 5.8 × 10<sup>28</sup> electrons/m<sup>3</sup> and e = 1.60 × 10<sup>-19</sup> C.What is the drift velocity of these electrons?

A) 2.7 × 10<sup>-5</sup> m/s

B) 9.1 × 10<sup>-5</sup> m/s

C) 5.2 × 10<sup>-5</sup> m/s

D) 1.1 × 10<sup>-5</sup> m/s

E) 7.4 × 10<sup>-5</sup> m/s

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Page 34

Chapter 32: Electronics

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Q1) An ac source having a maximum voltage output of 30 V is connected in series with a 50- resistor,a 0.60-H inductor,and a 20-µF capacitor.What is the maximum charge on the capacitor when the frequency of the source is adjusted so that the circuit is in resonance?

A) 1.0 mC

B) 0.00 mC

C) 2.1 mC

D) 4.2 mC

E) 8.4 mC

Q2) A series LRC ac circuit has a peak current of 1.0 A with a frequency of 54 kHz.If the resistance of the circuit is 51 k ,the capacitance of the circuit is 19 F,and the inductance of the circuit is 25 H,determine the average power of the circuit.

A) 26 kW

B) 77 kW

C) 7.7 kW

D) 4.1 kW

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Chapter 33: Ray Optics

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Q1) A convex lens has a focal length f.An object is placed at a distance between f and 2f on a line perpendicular to the center of the lens.The image formed is located at what distance from the lens?

A) 2f

B) between f and 2f

C) f

D) between the lens and f

E) farther than 2f

Q2) A thin converging lens is found to form an image of a distant building 24 cm from the lens.If an insect is now placed 16 cm from this lens,how far FROM THE INSECT will its image be formed?

A) 64 cm

B) 72 cm

C) 32 cm

D) 96 cm

E) 48 cm

Q3) A ray of light traveling in air strikes the surface of a certain plastic slab at 63.0° with respect to the normal in air.It travels in the plastic slab at a 30.6° angle with respect to the normal.Find the critical angle for the plastic in air.

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Page 36

Chapter 34: Wave and Particle Optics

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Q1) A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of 5)75 × 10<sup>14</sup> Hz that is incident normally on the pane.If the material has an index of refraction of 1.375 and the glass has an index of refraction of 1.537,what is the minimum thickness the coating should have?

(c = 3.00 × 10<sup>8</sup> m/s)

A) 60.0 nm

B) 94.9 nm

C) 145 nm

D) 65.2 nm

E) 80.1 nm

Q2) What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × 10<sup>4</sup> m/s? (m<sub>proton</sub> = 1.67 × 10<sup>-27</sup> kg,c = 3.00 × 10<sup>8</sup> m/s)

A) 220 keV

B) 150 keV

C) 290 keV

D) 360 keV

E) 440 keV

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