Question 1

For the vectors shown in the figure,express vector   
in terms of vectors   
and   .

Accepted Answer

The answer of For the vectors shown in the figure,express...

Question 2

Which one of the following is a characteristic of a compound microscope?

Accepted Answer

A)  The objective is a diverging lens. 
B)  The eyepiece is a diverging lens. 
C)  The final image is real. 
D)  The image formed by the objective is virtual. 
E)  The image formed by the objective is real. 
A)  The objective is a diverging lens. 
B)  The eyepiece is a diverging lens. 
C)  The final image is real. 
D)  The image formed by the objective is virtual. 
E)  The image formed by the objective is real.

Question 3

A mass M is attached to an ideal massless spring.When this system is set in motion,it has a period T.What is the period if the mass is doubled to 2M?

Accepted Answer

A)  2T 
B)  T/2 
C)    T 
D)  4T 
E)  T 
A)  2T 
B)  T/2 
C)    T 
D)  4T 
E)  T

Question 4

A 5.0-m radius playground merry-go-round with a moment of inertia of 2000 kg • m2 is rotating freely with an angular speed of 1.0 rad/s.Two people,each having a mass of 60 kg,are standing right outside the edge of the merry-go-round and step on it with negligible speed.What is the angular speed of the merry-go-round right after the two people have stepped on?

Accepted Answer

A)  0.20 rad/s 
B)  0.40 rad/s 
C)  0.60 rad/s 
D)  0.80 rad/s 
E)  0.67 rad/s 
A)  0.20 rad/s 
B)  0.40 rad/s 
C)  0.60 rad/s 
D)  0.80 rad/s 
E)  0.67 rad/s

Question 5

If two vectors are perpendicular to each other,their cross product must be zero.

Accepted Answer

A) True 
 B)False

Question 6

What is the value of π(8.104)2,written with the correct number of significant figures?

Accepted Answer

A)  206.324 
B)  206.323 
C)  206.3 
D)  206 
E)  200 
A)  206.324 
B)  206.323 
C)  206.3 
D)  206 
E)  200

Question 7

Find the speed of an ocean wave whose vertical displacement y as a function of time t is given by
Y(x,t)= 3.7 cos(2.2x - 5.6t),where all quantities are in SI units.

Accepted Answer

A)  2.5 m/s 
B)  1.9 m/s 
C)  3.5 m/s 
D)  4.5 m/s 
A)  2.5 m/s 
B)  1.9 m/s 
C)  3.5 m/s 
D)  4.5 m/s

Question 8

Incompressible water flows out of a large reservoir through a pipe that opens to the atmosphere 5.70 m below the level of the water in the reservoir. What is the speed of the water as it comes out of the pipe?

Accepted Answer

A)  1.72 m/s 
B)  7.47 m/s 
C)  55.8 m/s 
D)  10.6 m/s 
E)  27.9 m/s 
A)  1.72 m/s 
B)  7.47 m/s 
C)  55.8 m/s 
D)  10.6 m/s 
E)  27.9 m/s

Question 9

A resistor is made out of a long wire having a length L.Each end of the wire is attached to a terminal of a battery providing a constant voltage V0.A current I flows through the wire.If the wire were cut in half,making two wires of length L/2,and both wires were attached to the battery (the end of both wires attached to one terminal,and the other ends attached to the other terminal),what would be the total current flowing through the two wires?

Accepted Answer

A)  4I 
B)  2I 
C)  I 
D)  I/2 
E)  I/4 
A)  4I 
B)  2I 
C)  I 
D)  I/2 
E)  I/4

Question 10

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?

Accepted Answer

A)  423 J 
B)  4230 kJ 
C)  423 kJ 
D)  4230 J 
A)  423 J 
B)  4230 kJ 
C)  423 kJ 
D)  4230 J

Question 11

If the current density in a wire or radius R is given by J = kr,0 < r < R,what is the current in the wire?

Accepted Answer

A)  2πkR3/3 
B)  3πkR3/2 
C)  kR3/3 
D)  kR2 
E)  kR2/2 
A)  2πkR3/3 
B)  3πkR3/2 
C)  kR3/3 
D)  kR2 
E)  kR2/2

Question 12

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?

Accepted Answer

A)  0.00 J 
B)  25 J 
C)  50 J 
D)  -25 J 
E)  -50 J 
A)  0.00 J 
B)  25 J 
C)  50 J 
D)  -25 J 
E)  -50 J

Question 13

During a collision with a wall,the velocity of a 0.200-kg ball changes from 20.0 m/s toward the wall to 12.0 m/s away from the wall. If the time the ball was in contact with the wall was 60.0 ms,what was the magnitude of the average force applied to the ball?

Accepted Answer

A)  40.0 N 
B)  107 N 
C)  16.7 N 
D)  26.7 N 
E)  13.3 N 
A)  40.0 N 
B)  107 N 
C)  16.7 N 
D)  26.7 N 
E)  13.3 N

Question 14

You carry a 7.0 kg bag of groceries 1.2 m above the level floor at a constant velocity of 75 cm/s across a room that is 2.3 m room.How much work do you do on the bag in the process?

Accepted Answer

A)  0.0 J 
B)  82 J 
C)  158 J 
D)  134 J 
A)  0.0 J 
B)  82 J 
C)  158 J 
D)  134 J

Question 15

The cross section of a long coaxial cable is shown in the figure,with radii as given.The linear charge density on the inner conductor is -40 nC/m and the linear charge density on the outer conductor is
-50 nC/m.The inner and outer cylindrical surfaces are respectively denoted by A,B,C,and D,as shown.(ε0 = 8.85 × 10-12 C2/N • m2) The magnitude of the electric field at a point that is 94 mm from the axis is closest to

Accepted Answer

A)  17,000 N/C. 
B)  15,000 N/C. 
C)  13,000 N/C. 
D)  11,000 N/C. 
E)  9600 N/C. 
A)  17,000 N/C. 
B)  15,000 N/C. 
C)  13,000 N/C. 
D)  11,000 N/C. 
E)  9600 N/C.

Question 16

Light of wavelength 425.0 nm in air falls at normal incidence on an oil film that is 850.0 nm thick.The oil is floating on a water layer 15 cm thick.The refractive index of water is 1.33,and that of the oil is 1.40.You want to add oil so that light reflected off of the top of the oil film will be canceled.What is the minimum distance that you should INCREASE the oil film?

Accepted Answer

A)  60.7 nm 
B)  75.9 nm 
C)  106 nm 
D)  121 nm 
E)  152 nm 
A)  60.7 nm 
B)  75.9 nm 
C)  106 nm 
D)  121 nm 
E)  152 nm

Question 17

A 1000.0 kg car is moving at 15 km/h.If a 2000.0 kg truck has 18 times the kinetic energy of the car,how fast is the truck moving?

Accepted Answer

A)  45 km/h 
B)  63 km/h 
C)  54 km/h 
D)  36 km/h 
A)  45 km/h 
B)  63 km/h 
C)  54 km/h 
D)  36 km/h

Question 18

Two long straight parallel lines,#1 and #2,carry uniform positive linear charge densities.The charge density on line #2 is twice as great as the charge density on line #1.The locus of points where the electric field due to these lines is zero is

Accepted Answer

A)  along a line between the lines closer to line #2 than line #1. 
B)  at a point midway between the lines. 
C)  along a line perpendicular to lines #1 and #2. 
D)  along a line between the lines closer to line #1 than line #2. 
A)  along a line between the lines closer to line #2 than line #1. 
B)  at a point midway between the lines. 
C)  along a line perpendicular to lines #1 and #2. 
D)  along a line between the lines closer to line #1 than line #2.

Question 19

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?

Accepted Answer

A)  0.000 J 
B)  458 J 
C)  516 J 
D)  91.7 J 
E)  175 J 
A)  0.000 J 
B)  458 J 
C)  516 J 
D)  91.7 J 
E)  175 J

Question 20

An object is placed 100 cm in front of a lens of focal length 20 cm.A second lens is placed 35 cm beyond the first,this second lens having a focal length of 8.0 cm.If the height of the object is 6.0 cm,what is the height of the final image?

Accepted Answer

A)  1.5 cm 
B)  12 cm 
C)  9.0 cm 
D)  3.0 cm 
E)  6.0 cm 
A)  1.5 cm 
B)  12 cm 
C)  9.0 cm 
D)  3.0 cm 
E)  6.0 cm

Exam 1: A: Foundations

For the vectors shown in the figure,express vector in terms of vectors and .

Which one of the following is a characteristic of a compound microscope?

A mass M is attached to an ideal massless spring.When this system is set in motion,it has a period T.What is the period if the mass is doubled to 2M?

If two vectors are perpendicular to each other,their cross product must be zero.

What is the value of π(8.104)2,written with the correct number of significant figures?

Find the speed of an ocean wave whose vertical displacement y as a function of time t is given by Y(x,t)= 3.7 cos(2.2x - 5.6t),where all quantities are in SI units.

Incompressible water flows out of a large reservoir through a pipe that opens to the atmosphere 5.70 m below the level of the water in the reservoir. What is the speed of the water as it comes out of the pipe?

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?

If the current density in a wire or radius R is given by J = kr,0 < r < R,what is the current in the wire?

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?

During a collision with a wall,the velocity of a 0.200-kg ball changes from 20.0 m/s toward the wall to 12.0 m/s away from the wall. If the time the ball was in contact with the wall was 60.0 ms,what was the magnitude of the average force applied to the ball?

You carry a 7.0 kg bag of groceries 1.2 m above the level floor at a constant velocity of 75 cm/s across a room that is 2.3 m room.How much work do you do on the bag in the process?

A 1000.0 kg car is moving at 15 km/h.If a 2000.0 kg truck has 18 times the kinetic energy of the car,how fast is the truck moving?

Two long straight parallel lines,#1 and #2,carry uniform positive linear charge densities.The charge density on line #2 is twice as great as the charge density on line #1.The locus of points where the electric field due to these lines is zero is

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?

An object is placed 100 cm in front of a lens of focal length 20 cm.A second lens is placed 35 cm beyond the first,this second lens having a focal length of 8.0 cm.If the height of the object is 6.0 cm,what is the height of the final image?

Foundations

Motion in One Dimension

Acceleration

Momentum

Energy

Principle of Relativity

Interactions

Force

Work

Motion in a Plane

Motion in a Circle

Torque

Gravity

Special Relativity

Periodic Motion

Waves in One Dimension

Waves in Two and Three Dimensions

Fluids

Entropy

Energy Transferred Thermally

Degradation of Energy

Electric Interactions

The Electric Field

Gausss Law

Work and Energy in Electrostatics

Charge Separation and Storage

Magnetic Interactions

Magnetic Fields of Charged Particles in Motion

Changing Magnetic Fields

Changing Electric Fields

Electric Circuits

Electronics

Ray Optics

Wave and Particle Optics

Filters

What is the value of π(8.104)²,written with the correct number of significant figures?