Physics I: Mechanics Exam Practice Tests
Course Introduction
Physics I: Mechanics is an introductory course focusing on the fundamental principles that govern the motion of objects. Topics covered include kinematics, dynamics, energy, work, power, momentum, and the laws of motion formulated by Newton. Students will explore how forces affect the motion of particles and rigid bodies, analyze collisions, and apply concepts to real-world situations such as projectile motion and circular motion. The course emphasizes problem-solving skills, mathematical modeling, and the application of physical laws through laboratory experiments and hands-on activities to deepen understanding of the mechanical behavior of matter.
Recommended Textbook
Practice of Physics 1st Global Edition by Eric Mazur
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Chapter 1: Foundations
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Sample Questions
Q1) The number 0.003010 has
A) 7 significant figures.
B) 6 significant figures.
C) 4 significant figures.
D) 2 significant figures.
Answer: C
Q2) A weight lifter can bench press 171 kg.How many milligrams (mg)is this?
A) 1.71 × 10<sup>8</sup> mg
B) 1.71 × 10<sup>9</sup> mg
C) 1.71 × 10<sup>7</sup> mg
D) 1.71 × 10<sup>6</sup> mg
Answer: A
Q3) If a woman weighs 125 lb,her mass expressed in kilograms is x kg,where x is A) less than 125.
B) greater than 125.
Answer: A
Q4) If a tree is 15 m tall,its height expressed in feet is x ft,where x is
A) less than 15.
B) greater than 15.
Answer: B
Page 3
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Chapter 1: A: Foundations
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Sample Questions
Q1) In addition to 1 m = 39.37 in.,the following exact conversion equivalents are given: 1 mile = 5280 ft,
1 ft = 12 in,1 hour = 60 min,and 1 min = 60 s. If a particle has a velocity of 8.4 miles per hour,its velocity,in m/s,is closest to
A) 3.8 m/s.
B) 3.0 m/s.
C) 3.4 m/s.
D) 4.1 m/s.
E) 4.5 m/s.
Answer: A
Q2) In an isochoric process,the internal (thermal)energy of an ideal gas decreases by 50 J. How much work does the gas do during this process?
A) 0.00 J
B) 25 J
C) 50 J
D) -25 J
E) -50 J
Answer: A
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4
Chapter 2: Motion in One Dimension
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Sample Questions
Q1) The position of an object as a function of time is given by x = bt<sup>2</sup>ct,where b = 2.0 m/s<sup>2</sup> and c = 6.7 m/s and x and t are in SI units.What is the instantaneous velocity of the object when t = 2.2?
A) 1.7 m/s
B) 2.1 m/s
C) 2.3 m/s
D) 2.7 m/s
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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Questions
Q1) Suppose that an object is moving with constant nonzero acceleration.Which of the following is an accurate statement concerning its motion?
A) In equal times its speed changes by equal amounts.
B) In equal times its velocity changes by equal amounts.
C) In equal times it moves equal distances.
D) A graph of its position as a function of time has a constant slope.
E) A graph of its velocity as a function of time is a horizontal line.
Q2) Two objects are dropped from a bridge,an interval of 1.0 s apart,and experience no appreciable air resistance.As time progresses,the DIFFERENCE in their speeds
A) increases.
B) remains constant.
C) decreases.
D) increases at first, but then stays constant.
E) decreases at first, but then stays constant.
Q3) If an object is accelerating toward a point,then it must be getting closer and closer to that point.
A)True
B)False
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Chapter 4: Momentum
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Sample Questions
Q1) Two objects of the same mass move along the same line in opposite directions.The first mass is moving with speed v. The objects collide,stick together,and move with speed 0.100v in the direction of the velocity of the first mass before the collision. What was the speed of the second mass before the collision?
A) 1.20v
B) 10.0v
C) 0.900v
D) 0.800v
E) 0.00v
Q2) As a tile falls from the roof of a building to the ground its momentum is conserved. A)True B)False
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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Sample Questions
Q1) A car of mass 1689 kg collides head-on with a parked truck of mass 2000 kg. Spring mounted bumpers ensure that the collision is essentially elastic.If the velocity of the truck is 17 km/h (in the same direction as the car's initial velocity)after the collision,what was the initial speed of the car?
A) 19 km/h
B) 38 km/h
C) 29 km/h
D) 10 km/h
Q2) A 10.0-kg shell is traveling horizontally to the right at 25.0 m/s relative to the ground when it explodes into two fragments,one of mass 3.00 kg and the other of mass 7.00 kg.The lighter fragment goes directly forward,and the explosion releases 1.50 × 10<sup>3</sup> J of mechanical energy to the fragments.Find the magnitude and direction of the velocity of the heavier fragment relative to the ground just after the explosion.Ignore the effect of any ejected gases.
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Chapter 6: Principle of Relativity
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Sample Questions
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) A 2.00-m rod of negligible mass connects two very small objects at its ends. The mass of one object is 1.00 kg and the mass of the other is unknown. The center of mass of this system is on the rod a distance 1.60 m from the 1.00-kg mass object. What is the mass of the other object?
A) 4.11 kg
B) 3.22 kg
C) 4.00 kg
D) 0.250 kg
E) 0.800 kg
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Chapter 7: Interactions
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Sample Questions
Q1) 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.
Q2) A 2.00-kg object traveling east at 20.0 m/s collides with a 3.00-kg object traveling west at 10.0 m/s. After the collision,the 2.00-kg object has a velocity 5.00 m/s to the west. How much kinetic energy was lost during the collision?
A) 0.000 J
B) 458 J
C) 516 J
D) 91.7 J
E) 175 J
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Chapter 8: Force
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Q1) A block is on a frictionless horizontal table,on earth.This block accelerates at 3.6 m/s<sup>2</sup> when a 90 N horizontal force is applied to it. The block and table are then set up on the moon where the acceleration due to gravity is 1.62 m/s<sup>2</sup>.
A horizontal force of 45 N is applied to the block when it is on the moon.What acceleration does this force impart to the block?
A) 1.8 m/s<sup>2</sup>
B) 1.6 m/s<sup>2</sup>
C) 2.0 m/s<sup>2</sup>
D) 2.2 m/s<sup>2</sup>
E) 2.3 m/s<sup>2</sup>
Q2) If a 5.0 kg box is pulled simultaneously by a 10.0 N force and a 5.0 N force,then its acceleration must be
A) 3.0 m/s<sup>2</sup>.
B) 2.2 m/s<sup>2</sup>.
C) 1.0 m/s<sup>2</sup>.
D) We cannot tell from the information given.
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11
Chapter 9: Work
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Sample Questions
Q1) An object is attached to a hanging unstretched ideal and massless spring and slowly lowered to its equilibrium position,a distance of 6.4 cm below the starting point.If instead of having been lowered slowly the object was dropped from rest,how far then would it then stretch the spring at maximum elongation?
A) 13 cm
B) 9.1 cm
C) 6.4 cm
D) 18 cm
E) 26 cm
Q2) An athlete stretches a spring an extra 40.0 cm beyond its initial length.How much energy has he transferred to the spring,if the spring constant is 52.9 N/cm?
A) 423 J
B) 4230 kJ
C) 423 kJ
D) 4230 J
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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Page 12
Chapter 10: Motion in a Plane
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Sample Questions
Q1) A small glider is coasting horizontally when suddenly a very heavy piece of cargo falls out of the bottom of the plane.You can neglect air resistance.Just after the cargo has fallen out
A) the plane speeds up and the cargo slows down.
B) the plane speeds up but the cargo does not change speed.
C) neither the cargo nor the plane change speed.
D) the cargo slows down but the plane does not change speed.
E) both the cargo and the plane speed up.
Q2) You do 174 J of work while pulling your sister back on a swing,whose chain is 5.10 m long.You start with the swing hanging vertically and pull it until the chain makes an angle of 32.0° with the vertical with your sister is at rest.What is your sister's mass,assuming negligible friction?
A) 22.9 kg
B) 19.5 kg
C) 26.3 kg
D) 28.4 kg
Q3) A projectile returns to its original height 4.08 s after being launched,during which time it travels 76.2 m horizontally.If air resistance can be neglected,what was the projectile's initial speed?
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Page 13
Chapter 11: Motion in a Circle
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Q1) The angular velocity of a 755-g wheel 15.0 cm in diameter is given by the equation (t)= (2.00 rad/s<sup>2</sup>)t + (1.00 rad/s<sup>4</sup>)t<sup>3</sup>.
(a)Through how many radians does the wheel turn during the first 2.00 s of its motion?
(b)What is the angular acceleration (in rad/s<sup>2</sup>)of the wheel at the end of the first 2.00 s of its motion?
Q2) If you swing a bucket of water fast enough in a vertical circle,at the highest point the water does not spill out because an outward force balances the pull of gravity on the water.
A)True
B)False
Q3) An electrical motor spins at a constant 2857.0 rev/min. If the armature radius is 2.685 cm,what is the acceleration of the outer edge of the armature?
A) 2403 m/s<sup>2</sup>
B) 844.4 m/s<sup>2</sup>
C) 241,100 m/s<sup>2</sup>
D) 84.40 m/s<sup>2</sup>
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Chapter 12: Torque
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Sample Questions
Q1) A uniform solid 5.25-kg cylinder is released from rest and rolls without slipping down an inclined plane inclined at 18° to the horizontal.How fast is it moving after it has rolled 2.2 m down the plane?
A) 4.3 m/s
B) 5.2 m/s
C) 3.0 m/s
D) 3.7 m/s
E) 2.6 m/s
Q2) 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°
Q3) If two vectors point in opposite directions,their cross product must be zero.
A)True
B)False
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15
Chapter 13: Gravity
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Sample Questions
Q1) Three identical very small 50-kg masses are held at the corners of an equilateral triangle,0.30 m on each side.If one of the masses is released,what is its initial acceleration if the only forces acting on it are the gravitational forces due to the other two masses? (G = 6.67 × 10<sup>-11</sup> N m<sup>2</sup>/kg<sup>2</sup>)
A) 3.7 × 10<sup>-8 </sup>m/s<sup>2</sup>
B) 2.5 × 10<sup>-8 </sup>m/s<sup>2</sup>
C) 1.9 × 10<sup>-8 </sup>m/s<sup>2</sup>
D) 4.2 × 10<sup>-8 </sup>m/s<sup>2</sup>
E) 6.4 × 10<sup>-8 </sup>m/s<sup>2</sup>
Q2) An astronaut is standing on the surface of a planetary satellite that has a radius of 1.74 × 10<sup>6</sup> m and a mass of 7.35 × 10<sup>22</sup> kg.An experiment is planned where a projectile needs to be launched straight up from the surface.What must be the minimum initial speed of the projectile so it will reach a height of 2.55 × 10<sup>6</sup> m above this satellite's surface? (G = 6.67 × 10<sup>-11</sup> N m<sup>2</sup>/kg<sup>2</sup>)
Q3) A small-sized 155-kg mass is located 1.50 m from a small-sized 275-kg mass,with both masses fixed in place.Where should you place a third small-sized mass so that the net gravitational force on it due to the original two masses is zero?
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Page 16
Chapter 14: Special Relativity
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Q1) An astronaut on a spaceship moving at 0.927c says that the trip between two stationary stars took 7)49 y.How long does this journey take as measured by someone at rest relative to the two stars?
A) 20.0 y
B) 2.81 y
C) 4.05 y
D) 22.1 y
Q2) In a certain particle accelerator,a proton has a kinetic energy that is equal to its rest energy.What is the speed of the proton relative to the accelerator?
A) 0.25c
B) 0.50c
C) 0.71c
D) 0.75c
E) 0.87c
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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Page 17
Chapter 15: Periodic Motion
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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)
Q2) A uniform meter stick is freely pivoted about the 0.20-m mark.If it is allowed to swing in a vertical plane with a small amplitude and friction,what is the frequency of its oscillations?
A) 0.55 Hz
B) 0.66 Hz
C) 0.92 Hz
D) 1.1 Hz
E) 1.3 Hz
Q3) A 2.25-kg object is attached to a horizontal an ideal massless spring on a frictionless table.What should be the spring constant of this spring so that the maximum acceleration of the object will be g when it oscillates with amplitude of 4.50 cm?
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Page 18
Chapter 16: Waves in One Dimension
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Q1) Four traveling waves are described by the following equations,where all quantities are measured in SI units and y represents the displacement.
I: y = 0.12 cos(3x + 2t)
II: y = 0.15 sin(6x - 3t)
III: y = 0.23 cos(3x + 6t)
IV: y = -0.29 sin(1.5x - t)
Which of these waves have the same speed?
A) I and III
B) I and IV
C) II and III
D) I and II
E) III and IV
Q2) The density of aluminum is 2700 kg/m<sup>3</sup>.If transverse waves propagate at 34 m/s in a 4.6-mm diameter aluminum wire,what is the tension on the wire?
A) 52 N
B) 31 N
C) 42 N
D) 62 N
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19
Chapter 17: Waves in Two and Three Dimensions
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Q1) Two strings of identical material and radius are stretched with the same tension with their ends fixed,but one string is 8.0 mm longer than the other.Waves on these strings propagate at 420 m/s.The fundamental frequency of the longer string is 528 Hz.What is the beat frequency when each string is vibrating at its fundamental frequency?
A) 22 Hz
B) 11 Hz
C) 16 Hz
D) 5.5 Hz
E) 27 Hz
Q2) Shock waves occur when
A) the frequency of the waves is the resonant frequency of the system.
B) the amplitude of waves exceeds the critical shock value.
C) two waves from different sources collide with each other.
D) the wave source is traveling at a speed greater than the wave speed.
E) the period of the waves matches the lifetime of the waves.
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Chapter 18: Fluids
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Q1) A board that is 20.0 cm wide,5.00 cm thick,and 3.00 m long has a density 350 kg/m<sup>3</sup>. The board is floating partially submerged in water of density 1000 kg/m<sup>3</sup>. What fraction of the volume of the board is above the surface of the water?
A) 0.350
B) 0.650
C) zero
D) 0.200
E) The answer depends on which edge of the board is vertical.
Q2) Water flowing through a pipe suddenly comes to a section of pipe where the pipe diameter decreases to 86% of its previous value.If the speed of the water in the larger section of the pipe was 36 m/s,what is its speed in this smaller section?
A) 49 m/s
B) 42 m/s
C) 31 m/s
D) 27 m/s
Q3) 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?
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Page 21
Chapter 19: Entropy
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Q1) The root-mean-square speed (thermal speed)for a certain gas at 100°C is 0.500 km/s.If the temperature of the gas is now increased to 200°C,the root-mean-square (thermal)speed will be closest to
A) 563 m/s.
B) 634 m/s.
C) 707 m/s.
D) 804 m/s.
E) 1000 m/s.
Q2) A container is filled with a mixture of helium (light molecules)and oxygen (heavy molecules)gases.A thermometer in the container reads 22°C.Which gas molecules have the greater average kinetic energy?
A) It is the same for both of the gases because the temperatures are the same.
B) The oxygen molecules do because they are diatomic.
C) The oxygen molecules do because they are more massive.
D) The helium molecules do because they are less massive.
E) The helium molecules do because they are monatomic.
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22
Chapter 20: Energy Transferred Thermally
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Q1) An ideal gas is allowed to expand slowly at constant temperature to twice its original volume. During the expansion,the gas absorbs 200 kJ of heat.
(a)What is the change in the internal (thermal)energy of the gas during the expansion?
(b)How much work does the gas do during the expansion?
Q2) When a gas undergoes an isothermal process,there is
A) no change in the pressure of the gas.
B) no change in the temperature of the gas.
C) no change in the volume of the gas.
D) no work done by (or on) the gas.
E) no heat added to the gas.
Q3) During an isothermal process,5.0 J of heat is removed from an ideal gas. How much work does the gas do during this process?
A) 0.00 J
B) 2.0 J
C) 5.0 J
D) -5.0 J
E) 10 J
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Chapter 21: Degradation of Energy
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Q1) A Carnot refrigerator takes heat from water at 0°C and rejects heat to a room at 12°C.Suppose that 92.0 grams of water at 0°C are converted to ice at 0°C by the refrigerator.Calculate the mechanical energy that must be supplied to the refrigerator.The heat of fusion of water is 3.34 × 10<sup>5</sup> J/kg.
Q2) A certain Carnot heat pump transfers energy from the outside of a house,where the temperature is -15°C,to the inside of a room where the temperature is 21°C.If this heat pump runs off of electricity,what is the minimum rate at which it uses electrical energy to deliver 150 W to the inside room?
Q3) A Carnot engine is operated as a heat pump to heat a room in the winter. The heat pump delivers heat to the room at the rate of 34 kJ per second and maintains the room at a temperature of 293 K when the outside temperature is 229 K.The power requirement for the heat pump under these operating conditions is closest to
A) 7500 W.
B) 6000 W.
C) 17,000 W.
D) 13,000 W.
E) 9600 W.
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Page 24
Chapter 22: Electric Interactions
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Q1) Three point charges are placed on the x-axis.A charge of +2.0 C is placed at the origin,-2.0 C to the right at x = 50 cm,and +4.0 C at the 100 cm mark. What are the magnitude and direction of the electrostatic force that acts on the charge at the origin? (k = 1/4 <sub>0</sub> = 8.99 × 10<sup>9</sup> N m<sup>2</sup>/C<sup>2</sup>)
Q2) When two point charges are 2.0 cm apart,each one experiences a 1.0-N electric force due to the other charge. If they are moved to a new separation of 8.0 cm,the electric force on each of them is closest to
A) 1.0 N.
B) 4.0 N.
C) 16 N.
D) 0.25 N.
E) 0.063 N.
Q3) Charge Q<sub>1</sub> = 6.0 nC is at (0.30 m,0),charge Q<sub>2</sub> = -1.0 nC is at (0,0.10 m),and charge Q<sub>3</sub> = 5.0 nC is at (0,0). What are the magnitude and direction of the net electrostatic force on the 5.0-nC charge due to the other charges? (k = 1/4 <sub>0</sub> = 8.99 × 10<sup>9</sup> N m<sup>2</sup>/C<sup>2</sup>)
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Page 25
Chapter 23: The Electric Field
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Q1) Two point charges of +20.0 C and -8.00 C are separated by a distance of 20.0 cm.What is the magnitude of electric field due to these charges at a point midway between them?
(k = 1/4 <sub>0</sub> = 8.99 × 10<sup>9</sup> N m<sup>2</sup>/C<sup>2</sup>)
A) 25.2 × 10<sup>6</sup> N/C directed toward the negative charge
B) 25.2 × 10<sup>6</sup> N/C directed toward the positive charge
C) 25.2 × 10<sup>5</sup> N/C directed toward the negative charge
D) 25.2 × 10<sup>5</sup> N/C directed toward the positive charge
E) 25.2 × 10<sup>4</sup> N/C directed toward the negative charge
Q2) 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?
Q3) A small glass bead has been charged to 8.0 nC.What is the magnitude of the electric field 2.0 cm from the center of the bead? (k = 1/4 <sub>0</sub> = 8.99 × 10<sup>9</sup> N m<sup>2</sup>/C<sup>2</sup>)
A) 1.8 × 10<sup>5</sup> N/C
B) 3.6 × 10<sup>3</sup> N/C
C) 1.4 × 10<sup>-3</sup> N/C
D) 3.6 × 10<sup>-6</sup> N/C
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Chapter 24: Gausss Law
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Q1) Two large,flat,horizontally oriented plates are parallel to each other,a distance d apart.Half way between the two plates the electric field has magnitude E.If the separation of the plates is reduced to d/2 what is the magnitude of the electric field half way between the plates?
A) 4E
B) 2E
C) E
D) 0
E) E/2
Q2) A charge Q is uniformly spread over one surface of a very large nonconducting square elastic sheet having sides of length d.At a point P that is 1.25 cm outside the sheet,the magnitude of the electric field due to the sheet is E.If the sheet is now stretched so that its sides have length 2d,what is the magnitude of the electric field at P?
A) 4E
B) 2E
C) E
D) E/2
E) E/4
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Chapter 25: Work and Energy in Electrostatics
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Q1) An alpha particle is a nucleus of helium.It has twice the charge and four times the mass of the proton.When they were very far away from each other,but headed toward directly each other,a proton and an alpha particle each had an initial speed of 0.0030c,where c is the speed of light.What is their distance of closest approach? Hint: There are two conserved quantities.Make use of both of them.(c = 3.00 × 10<sup>8</sup> m/s,k = 1/4 <sub>0</sub> = 8.99 × 10<sup>9</sup> N m<sup>2</sup>/C<sup>2</sup>,e = 1.60 × 10<sup>-19</sup> C,m<sub>proton </sub>= 1.67 × 10<sup>-27</sup> kg)
A) 2.1 × 10<sup>-13</sup> m
B) 3.3 × 10<sup>-13</sup> m
C) 2.6 × 10<sup>-13</sup> m
D) 2.9 × 10<sup>-13</sup> m
Q2) A negative charge,if free,will tend to move
A) from high potential to low potential.
B) from low potential to high potential.
C) toward infinity.
D) away from infinity.
E) in the direction of the electric field.
Q3) A half-ring (semicircle)of uniformly distributed charge Q has radius R.What is the electric potential at its center?
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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 cylindrical capacitor is made of two thin-walled concentric cylinders.The inner cylinder has radius r<sub>1</sub> = 4.0 mm,and the outer one a radius r<sub>2</sub> = 8.0 mm.The common length of the cylinders is L = 150 m. What is the potential energy stored in this capacitor when a potential difference 4.0 V is applied between the inner and outer cylinder? (k = 1/4 <sub>0</sub> = 8.99 × 10<sup>9</sup> N m<sup>2</sup>/C<sup>2</sup>)
A) 9.6 × 10<sup>-8</sup> J
B) 1.3 × 10<sup>-8</sup> J
C) 6.3 × 10<sup>-8</sup> J
D) 0.34 × 10<sup>-8</sup> J
E) 4.6 × 10<sup>-8</sup> J
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Page 29
Chapter 27: Magnetic Interactions
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Q1) A straight wire that is 0.60 m long is carrying a current of 2.0 A.It is placed in a uniform magnetic field of strength 0.30 T.If the wire experiences a force of 0.18 N,what angle does the wire make with respect to the magnetic field?
A) 25°
B) 30°
C) 35°
D) 60°
E) 90°
Q2) A vertical wire carries a current straight down.To the east of this wire,the magnetic field points
A) toward the north.
B) toward the east.
C) toward the west.
D) toward the south. E) downward.
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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Chapter 28: Magnetic Fields of Charged Particles in Motion
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Q1) A solenoid with 400 turns has a radius of 0.040 m and is 40 cm long.If this solenoid carries a current of 12 A,what is the magnitude of the magnetic field near the center of the solenoid?
( <sub>0</sub> = 4 × 10<sup>-7</sup> T m/A)
A) 16 mT
B) 4.9 mT
C) 15 mT
D) 6.0 mT
E) 9.0 mT
Q2) A solenoid having N turns and carrying a current of 2.000 A has a length of 34.00 cm.If the magnitude of the magnetic field generated at the center of the solenoid is 9.000 mT,what is the value of N?
( <sub>0</sub> = 4 × 10<sup>-7</sup> T m/A)
A) 860.0
B) 1591
C) 2318
D) 3183
E) 1218
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Chapter 29: Changing Magnetic Fields
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Q1) At what rate would the current in a 100-mH inductor have to change to induce an emf of 1000 V in the inductor?
A) 100 A/s
B) 1 A/s
C) 1000 A/s
D) 10,000 A/s
E) 10 A/s
Q2) A solenoid of length 0.700 m having a circular cross-section of radius 5.00 cm stores 6.00 µJ of energy when a 0.400-A current runs through it.What is the winding density of the solenoid?
( <sub>0</sub> = 4 × 10<sup>-7</sup> T m/A)
A) 865 turns/m
B) 472 turns/m
C) 1080 turns/m
D) 104 turns/m
E) 327 turns/m
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Chapter 30: Changing Electric Fields
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Q1) An 800-kHz radio signal is detected at a point 4.5 km distant from a transmitter tower.The electric field amplitude of the signal at that point is 0.63 V/m.Assume that the signal power is radiated uniformly in all directions and that radio waves incident upon the ground are completely absorbed.What is the magnetic field amplitude of the signal at that point? (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) 2.1 nT
B) 1.7 nT
C) 1.3 nT
D) 2.5 nT
E) 2.9 nT
Q2) A very small source of light that radiates uniformly in all directions produces an electric field amplitude of 2.96 V/m at a point 33.0 m from the source.What is the power output from the source?
(c = 3.00 × 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>)
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33
Chapter 31: Electric Circuits
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Q1) When a potential difference of 10 V is placed across a certain solid cylindrical resistor,the current through it is 2 A.If the diameter of this resistor is now tripled,the current will be
A) 2/9 A.
B) 2/3 A.
C) 2 A.
D) 3 A.
E) 18 A.
Q2) As current flows through a uniform wire,the wire gets hotter because the electrons stop moving and therefore transform their lost kinetic energy into thermal energy in the wire.
A)True
B)False
Q3) The current in a wire varies with time according to the equation I(t)= 6.00 A + (4.80 A/s)t,where t is in seconds.How many coulombs of charge pass a cross section of the wire in the time period between t = 0.00 s and t = 3.00 s?
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Chapter 32: Electronics
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Q1) The phase angle of an LRC series circuit with an inductive reactance of 200 and a capacitive reactance of 100 is 40.0°.What is the value of the resistor in this circuit?
A) 100
B) 119
C) 156
D) 200
E) 265
Q2) An LRC series circuit consists of an 85.0- resistor,a 14.0- F capacitor,a 1.50-mH inductor,and a variable frequency ac source of voltage amplitude 13.25 V.At what angular frequency will the inductive reactance be 4.00 times as large as the capacitive reactance?
A) 1.38 × 10<sup>4</sup> rad/s
B) 6.90 × 10<sup>3</sup> rad/s
C) 3.45 × 10<sup>4</sup> rad/s
D) 2.20 × 10<sup>4</sup> rad/s
E) 1.10 × 10<sup>4</sup> rad/s
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Chapter 33: Ray Optics
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Q1) The angular magnification of a refracting telescope is 40 x.When the object and final image are both at infinity,the distance between the eyepiece and the objective is 143.5 cm.The telescope is used to view a distant radio tower.The real image of the tower,formed by the objective,is 6.0 mm in height.The focal point of the eyepiece is positioned at the real image.What is the angle subtended by the final image of the tower.
A) 0.15 rad
B) 0.17 rad
C) 0.19 rad
D) 0.21 rad
E) 0.23 rad
Q2) An object 4.0 cm in height is placed 8.0 cm in front of a concave spherical mirror with a focal length of 10.0 cm.What is the position of its image in relation to the mirror,and what are the characteristics of the image?
A) 40.0 cm on the other side of mirror, real, 6.0 times bigger
B) 10.0 cm on the other side of mirror, virtual, 10.0 times bigger
C) 18.0 cm on the same side of mirror, virtual, 2.25 times bigger
D) 10.0 cm on the same side of mirror, real, 6.0 times bigger
E) 40.0 cm on the other side of mirror, virtual, 5.0 times bigger
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Chapter 34: Wave and Particle Optics
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Q1) Light of wavelength 500 nm illuminates a round 0.50-mm diameter hole.A screen is placed 6.3 m behind the slit.What is the diameter of the central bright area on the screen?
A) 15 mm
B) 270 m
C) 7.7 mm
D) 3800 m
Q2) A diffraction grating has 300 lines per mm.If light of frequency 4.76 × 10<sup>14</sup> Hz is sent through this grating,at what angle does the first order maximum occur? (c = 3.00 × 10<sup>8</sup> m/s)
A) 56°
B) 44°
C) 22°
D) 11°
E) 28°
Q3) A metal surface has a work function of 1.50 eV.Calculate the maximum kinetic energy,in eV,of electrons ejected from this surface by electromagnetic radiation of wavelength 311 nm.(c = 3.00 × 10<sup>8</sup> m/s,h = 6.626 × 10<sup>-34</sup> J s,e = - 1.60 × 10<sup>-19</sup> C,1 eV = 1.60 × 10<sup>-19</sup> J)
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