The drive chain in a bicycle is applying a torque of 0.945 N m to the wheel of the bicycle. Treat the wheel as a hoop with a mass of 0.740 kg and a radius of 35.0 cm. What is the angular acceleration of the wheel?

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11. The drive chain in a bicycle is applying a torque of 0.945 N m to the wheel of the bicycle. Treat the wheel as a hoop with a mass of 0.740 kg and a radius of 35.0 cm. What is the angular acceleration of the wheel?
A. 7.30 rad/s2 B. 10.4 rad/s2 C. 4.20 rad/s2 D. 3.64 rad/s2 E. 20.8 rad/s2
12. A piece of dirt (0.01 kg) is stuck in the tread of a spinning bicycle wheel. If the wheel is spinning at 60 RPM (rev/min) and the wheel has a radius of 0.35 meters, what is the magnitude of acceleration of the piece of dirt?
A. 2 m/s2 B. 5 m/s2 C. 10 m/s2 D. 18 m/s2 E. 14 m/s2
13. A metal bar has a frictionless axle going through its center of mass. You notice that the bar is not level (flat), but that it is tilted at a 30 degree angle (the right end is below the horizontal and the left end is above the horizontal) and that the bar is not rotating away from this orientation. You can say that:
A. The net force isn’t zero and the net torque is counter-clockwise on the bar. B. The net force is zero but the net torque is counter-clockwise in the bar. C. The net force is zero but the net torque is clockwise on the bar. D. The net force isn’t zero and the net torque is clockwise on the bar. E. The net force is zero and the net torque is zero on the bar.
14. Mars has about 1/10 the mass of the Earth and a radius 1/2 that of the Earth. Approximately, what is the acceleration of gravity (g) on Mars?
A. 25 m/s2 B. 10 m/s2 C. 4 m/s2 D. 2 m/s2 E. 12 m/s2
Page 4
15. Mars has a radius 3.41 x 106 m and a mass of 6.42 x 1023kg. What is the acceleration due to gravity on the surface of Mars?
A. 3.7 m/s2 B. 9.8 m/s2 C. 14.7 m/s2 D. 15.9 m/s2 E. 1.26 x 107 m/s2
16. An object of mass 7.0 kg is released from rest a certain height above the ground. Just before it strikes the ground it has a kinetic energy of 1750 J. From what height was the object dropped? Ignore air resistance and use g = 10 m/s2.
A. 0.0 m B. 30 m C. 15 m D. 10 m E. 25 m
17. Below, a set of five dumbbells are shown, where the weights have been moved around to different locations along the bar. The mass of the dumbbell in each case is the same as in all the others. Which dumbbell would require the greatest torque in order to rotate it about the axis indicated by the dashed line with a constant angular acceleration of 5 rad/s2?
A. B. C.
D. E.
Page 5
18. A firecracker, initially at rest on a level, frictionless table, explodes into three fragments. The momentum vectors of two of the fragments are shown, as viewed from above. What would the momentum vector of the third fragment have to be? Each grid unit represents one kilogram-meter- per-second (kg·m/s).
x
y 1p 
2p 
A.    3 ˆ ˆ2 kg m/s 1 kg m/sp x y    
B.    3 ˆ ˆ6 kg m/s 1 kg m/sp x y      
C.  3 ˆ7 kg m/sp x   
D.    3 ˆ ˆ2 kg m/s 5 kg m/sp x y      
E.    3 ˆ ˆ2 kg m/s 5 kg m/sp x y    
19. In a particular case, to stretch a relaxed muscle 2.6 cm requires a force of 25 N. Find the Young’s modulus for the muscle tissue, assuming it to be a uniform cylinder of length 0.24 m and cross-sectional diameter of 8.2 cm.
A. 12500 N/m2 B. 25040 N/m2 C. 53500 N/m2 D. 43700 N/m2 E. 35050 N/m2
Page 6
20. A 0.100 kg rubber ball is thrown horizontally with a speed of 10 m/s at a vertical wall. The ball rebounds with the same speed. The force of the collision on the ball is shown in the graph below.
( )t s
( )F N
maxF
0.010 s What is the value of the maximum force?
A. 2 N B. 20 N C. 2000 N D. 200 N E. Impossible to tell.

1. You and a friend are moving a very heavy and irregular piece of furniture across a room. You are lifting it to prevent it from scratching your wooden floor. Your friend lets you pick where you are going to hold it and your friend will hold it at the other end (or some other place you tell your friend to hold it). To make it easier on yourself, you would:

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1. You and a friend are moving a very heavy and irregular piece of furniture across a room. You are lifting it to prevent it from scratching your wooden floor. Your friend lets you pick where you are going to hold it and your friend will hold it at the other end (or some other place you tell your friend to hold it). To make it easier on yourself, you would:
A. Hold the end closer to the center of mass (your friend holds the other end). B. Hold the end farther from the center of mass (your friend holds the other end). C. Hold it at the center of mass and have your friend hold it from one of the other ends. D. It doesn’t matter where you pick – you’ll both have to exert the same force no matter where
you hold it. E. Hold either end since you have to exert the same force no matter which end you pick.
2. Two acrobats flying through the air grab and hold onto each other in midair as part of a circus act. One acrobat has a mass of 60 kg and has a horizontal velocity of 5 m/s just before the grab. Another acrobat has a mass of 50 kg and has a horizontal velocity of -3 m/s just before the grab. Their horizontal velocity immediately after they grab onto each other is:
A. 1.4 m/s B. 3.0 m/s C. 0.6 m/s D. 2.0 m/s E. 4.1 m/s
3. Your kid sister is making a mobile representing the earth, moon, and sun for her grade school science fair. The ruler is provided below to help you determine positions of the three hanging balls, of mass 15 g, 5 g, and 30 g, respectively. Of the five options provided, where would you connect a string to this mobile so that it would remain balanced when you hung it from the string? (The rods and strings all have negligible mass compared to the balls.)
1 2 3 4 5 6 7 8 9 10 11 12
15 g 5 g
30 g
A B C E D
Page 1
4. An 60-kg diver stands at the edge of a lightweight diving board, which is supported at two locations, as shown in the figure below. Determine the strength and direction of the force exerted on the diving board by the right-most support.
2.0 m 1.2 m
60 kg
A. 100 N downard B. 360 N upward C. 360 N downward D. 980 N downward E. 980 N upward
5. What additional torque must your bicep muscle exert around your elbow if you are holding a 4.5 kg (10 lb) weight horizontally? (Assume your forearm is 0.30 meters long.)
A. 3 Nm B. 11 Nm C. 13 Nm D. 4 Nm E. 1 Nm
6. Two children are riding on a merry-go-round. Child A is at a greater distance from the axis of rotation than child B. Which child has the larger angular speed?
A. They have the same angular speed. B. In order to find the speed we need to know the masses. C. child A D. In order to find the speed we need to know the radii. E. child B
7. A karate student throws a round kick to a target pad during her workout in the dojo. Her foot moves at 15 m/s just before landing the kick and is in contact with the pad for 0.02 seconds until it comes to rest on the pad (for an instant). If the effective combined mass of her foot & lower leg is 8 kg, with what average force does she hit the pad?
A. 6000 N B. 1200 N C. 225 N D. 80 N E. 1800 N
Page 2
8. Swimmers at a water park have a choice of two frictionless water slides (see figure). Although both slides drop over the same height h, slide 1 is straight while slide 2 is curved, dropping quickly at first and then leveling out. How does the speed v1 of a swimmer reaching the end of slide 1 compare with v2, the speed of a swimmer reaching the end of slide 2?
A. v1 < v2 B. v1 = 2 v2 C. v1 = v2 D. v1 > v2 E. We cannot compare the two speeds without knowing the swimmers’ masses.
9. An object of mass 10.0 kg is initially at rest. A 100 N force causes it to move horizontally through a distance of 6.00 m along a frictionless surface. What is the change in the kinetic energy of this object?
A. 200 J B. 60.0 J C. 0.00 J D. 20.0 J E. 600 J
10. A constant force is applied to an object. If the angle between the force and the displacement is 90°, the work done by this force is:
A. negative. B. positive. C. 0 J. D. Can’t answer without knowing the speed of the object E. Can’t answer without knowing the exact angle.

1. Two uncharged metal balls, X and Y, stand on glass rods. A third ball, Z, carrying a positive charge, is brought near the first two. A conducting wire is then run between X and Y. The wire is then removed, and ball Z is finally removed. When this is all done what is the charge on ball X and ball Y. Discuss the charge exchange process and the charge state of the metal sphere after each step. Use the diagram to the right in your explanation.

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1. Two uncharged metal balls, X and Y, stand on glass rods. A third ball, Z, carrying a positive charge, is
brought near the first two. A conducting wire is then run
between X and Y. The wire is then removed, and ball Z
is finally removed. When this is all done what is the
charge on ball X and ball Y.
Discuss the charge exchange process and the charge
state of the metal sphere after each step. Use the
diagram to the right in your explanation.
Page 2 of 5
2. Consider two charges, q1 = 50 nC at location (1 cm, 0) and q2 = – 40 nC at (– 2 cm, 4 cm). Find the position where a third charge Q should be placed for it to feel
zero net force.
3. A relatively heavy pith ball in the figure has a mass of 1.5 g and has acquired 1.5 percent of the charge on a thin, ebonite rod by contact. If the charge on the rod is concentrated at one end and the distance of the pith ball from that end is 0.125 meters, what is the charge on the
pith ball and the tension in the string? Assume the thread makes an angle of  = 32 o with
respect the vertical?

Page 3 of 5
4. Two uniformly charges rods each with a total charge Q = ‐7.50 µC and length L = 15.0 cm
are arranged as shown below. Find the electric field at P if a = 6.5 cm.
5. Two 1.20-m plastic wires meet at a right angle. One segment carries +3.50 μC of charge distribution uniformly along its length, and the other carries −3.50 μC distributed uniformly along it, as shown in figure below.
a) Find the magnitude and direction of the electric field these wires produce at point P that is in the center of the square.
b) If an electron is released from rest at P, what are the magnitude and direction of the net force and its acceleration that these wires exert on it?
1.20 m
+ + + + + + + + + + + + +
P
1 .2
0 m
– –
– –
– –
– –
– –
– –
– –
– –
– –
–
Page 4 of 5
6. Charges is distributed uniformly along a semicircular rod of radius r = 5.0 cm such that half of the semicircle is charge with Q+ and the other half is charge with Q–, as shown
below. If the charge is Q+ =10.0 C and Q– = –10.0 C, find the electric field at point P, the center of the semicircle.
7. Two point-charges q1 and q2 are held in place 4.50 cm apart. Another point charge
Q = −1.75 μC of mass 5.00 g is initially located 3.00 cm from q1 and q2 as shown in the figure below. When Q is released from rest you observe that the initial acceleration
of Q is 324 m/s 2
upward, parallel to the line connecting the two point charges q1 and q2 . Determine the amount of charge for q1 and q2 .
P
+ r –
+ –
+ + –
–
Page 5 of 5
Bonus
8. Eight charges of magnitude Q = 1.25 µC are located at the corners of a cube of side L = 0.5 nm as shown in the figure below. One corner is at the origin and the edges lie along the rectangular axes. Find the net force on the charge located at the position vector
r  Lxˆ  Lyˆ  Lzˆ given that the nearest neighbor of any charge has the opposite sign.

1. Two uncharged metal balls, X and Y, stand on glass rods. A third ball, Z, carrying a positive charge, is brought near the first two. A conducting wire is then run between X and Y. The wire is then removed, and ball Z is finally removed. When this is all done what is the charge on ball X and ball Y. Discuss the charge exchange process and the charge state of the metal sphere after each step. Use the diagram to the right in your explanation.

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1. Two uncharged metal balls, X and Y, stand on glass rods. A third ball, Z, carrying a positive charge, is
brought near the first two. A conducting wire is then run
between X and Y. The wire is then removed, and ball Z
is finally removed. When this is all done what is the
charge on ball X and ball Y.
Discuss the charge exchange process and the charge
state of the metal sphere after each step. Use the
diagram to the right in your explanation.
Page 2 of 5
2. Consider two charges, q1 = 50 nC at location (1 cm, 0) and q2 = – 40 nC at (– 2 cm, 4 cm). Find the position where a third charge Q should be placed for it to feel
zero net force.
3. A relatively heavy pith ball in the figure has a mass of 1.5 g and has acquired 1.5 percent of the charge on a thin, ebonite rod by contact. If the charge on the rod is concentrated at one end and the distance of the pith ball from that end is 0.125 meters, what is the charge on the
pith ball and the tension in the string? Assume the thread makes an angle of  = 32 o with
respect the vertical?

Page 3 of 5
4. Two uniformly charges rods each with a total charge Q = ‐7.50 µC and length L = 15.0 cm
are arranged as shown below. Find the electric field at P if a = 6.5 cm.
5. Two 1.20-m plastic wires meet at a right angle. One segment carries +3.50 μC of charge distribution uniformly along its length, and the other carries −3.50 μC distributed uniformly along it, as shown in figure below.
a) Find the magnitude and direction of the electric field these wires produce at point P that is in the center of the square.
b) If an electron is released from rest at P, what are the magnitude and direction of the net force and its acceleration that these wires exert on it?
1.20 m
+ + + + + + + + + + + + +
P
1 .2
0 m
– –
– –
– –
– –
– –
– –
– –
– –
– –
–
Page 4 of 5
6. Charges is distributed uniformly along a semicircular rod of radius r = 5.0 cm such that half of the semicircle is charge with Q+ and the other half is charge with Q–, as shown
below. If the charge is Q+ =10.0 C and Q– = –10.0 C, find the electric field at point P, the center of the semicircle.
7. Two point-charges q1 and q2 are held in place 4.50 cm apart. Another point charge
Q = −1.75 μC of mass 5.00 g is initially located 3.00 cm from q1 and q2 as shown in the figure below. When Q is released from rest you observe that the initial acceleration
of Q is 324 m/s 2
upward, parallel to the line connecting the two point charges q1 and q2 . Determine the amount of charge for q1 and q2 .
P
+ r –
+ –
+ + –
–
Page 5 of 5
Bonus
8. Eight charges of magnitude Q = 1.25 µC are located at the corners of a cube of side L = 0.5 nm as shown in the figure below. One corner is at the origin and the edges lie along the rectangular axes. Find the net force on the charge located at the position vector
r  Lxˆ  Lyˆ  Lzˆ given that the nearest neighbor of any charge has the opposite sign.

Q1 Determine the distance that the third bright fringe would lie from the central bisector in a single slit diffraction pattern generated with 542 nm light incident on a 1.2 x 10-4 m slit falling onto a screen 68cm away.

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Q1 Determine the distance that the third bright fringe would lie from the central bisector in a single slit diffraction pattern generated with 542 nm light incident on a 1.2 x 10-4 m slit falling onto a screen 68cm away.
Q2 A special effects creator wants to generate an interference pattern on a screen 6.8m away fro a single slit. She uses 445 nm light and hopes to get the second dark fringe exactly 48 cm from the middle of the central bright maximum. What width of the slit does she require?
Q3 What is the speed of light in water if, in water,
ε = 7.10 x 10-10 C2/N.m2 and μ = 2.77 x 10-8 N/A2.
Q4 a. Determine the wavelength of an AM radio signal with a frequency of 6.40 x 106 Hz.
b. Suggest why AM radio transmitting antennas are hundreds of meters tall.
Q2. An asteroid has a long axis of 725km. A rocket passes by a parallel to the long axis at a speed of 0.250c. What will be the length of the long axis as measured by the observers in the rocket?
An electron is moving at 0.95c parallel to a meter stick. How long will the meter stick be in the electron’s frame of reference?
A neutron is measured to have a mass of 1.71 x 10-27kg when travelling at 6.00 x 107 m/s. Determine its rest mass
Find the wavelength of a jet airplane with a mass of 1.12 x 105 kg that is cruising at 891km/h.
If the work function of the material is 2.0 ev and the light of the wavelength 500nm is shone on the metal, find the kinetic energy of the electron
Alpha centuari, the closest star to earth, is 4.3* 10^16 m away. How long would it take a spaceship to reach the star if were traveling at 0.999c.
A 1.0m long object with a rest mass of 1.0 kg is moving at 0.90c.find its relativistic length and mass.
A particle travels at 0.80c. if its rest mass is 2.58* 10^-28 kg, what is its relativistic kinetic energy compared to its classical kinetic energy.
1. Kyle is in his car traveling at a constant speed of 150 km/h down the road. He passes a police car that was stationary at the side of the road. He sees the radar reading and immediately begins accelerating (8 m/s/s) in order to catch the delinquent teenager. How long and how far down the road does he catch Kyle?
2. After landing safely on the target the cat tries another projectile apparatus. This time the cat is shot out of a cannon over a 30 m high wall. The cat is launched at an angle of 55º0 and can be assumed to be at ground level during launch. With what speed (in km/h) does it have to be launched to make it approximately 5 m over the wall if the wall is 250 m from the cannon?
3. Box A (m=2.5 kg) is connected by a rope that passes over a frictionless pulley to Box B (m=5.5 kg), as shown in figure. The coefficient of kinetic friction between box and ramp is 0.54. Determine the acceleration of the boxes.
.
4. A 1.2×103 kg space probe, travelling initially at a speed of 9.5×103 m/s through deep space, fires its engines that produce a force of magnitude 9.2×104 N over a distance of 86 km. Determine the final speed of the probe.
6. An α particle of charge +3.2×10-19 C and mass 6.7×10-27 kg first accelerates through a potential difference of 1.2×103 V, then enters a uniform magnetic field of magnitude 0.25 T at 90º. Calculate the magnetic force on the particle.
8. Two sources are vibrating in phase, and set up waves in a ripple tank. A point P on the second nodal line is 12.0 cm from source A and 20.0 cm from source B. When the sources are started, it takes 2.0 s for the first wave to reach the edge of the tank, 30 cm from the source. Find the velocity, wavelength and frequency of the wave.

Q1 Determine the distance that the third bright fringe would lie from the central bisector in a single slit diffraction pattern generated with 542 nm light incident on a 1.2 x 10-4 m slit falling onto a screen 68cm away.

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Q1 Determine the distance that the third bright fringe would lie from the central bisector in a single slit diffraction pattern generated with 542 nm light incident on a 1.2 x 10-4 m slit falling onto a screen 68cm away.
Q2 A special effects creator wants to generate an interference pattern on a screen 6.8m away fro a single slit. She uses 445 nm light and hopes to get the second dark fringe exactly 48 cm from the middle of the central bright maximum. What width of the slit does she require?
Q3 What is the speed of light in water if, in water,
ε = 7.10 x 10-10 C2/N.m2 and μ = 2.77 x 10-8 N/A2.
Q4 a. Determine the wavelength of an AM radio signal with a frequency of 6.40 x 106 Hz.
b. Suggest why AM radio transmitting antennas are hundreds of meters tall.
Q2. An asteroid has a long axis of 725km. A rocket passes by a parallel to the long axis at a speed of 0.250c. What will be the length of the long axis as measured by the observers in the rocket?
An electron is moving at 0.95c parallel to a meter stick. How long will the meter stick be in the electron’s frame of reference?
A neutron is measured to have a mass of 1.71 x 10-27kg when travelling at 6.00 x 107 m/s. Determine its rest mass
Find the wavelength of a jet airplane with a mass of 1.12 x 105 kg that is cruising at 891km/h.
If the work function of the material is 2.0 ev and the light of the wavelength 500nm is shone on the metal, find the kinetic energy of the electron
Alpha centuari, the closest star to earth, is 4.3* 10^16 m away. How long would it take a spaceship to reach the star if were traveling at 0.999c.
A 1.0m long object with a rest mass of 1.0 kg is moving at 0.90c.find its relativistic length and mass.
A particle travels at 0.80c. if its rest mass is 2.58* 10^-28 kg, what is its relativistic kinetic energy compared to its classical kinetic energy.
1. Kyle is in his car traveling at a constant speed of 150 km/h down the road. He passes a police car that was stationary at the side of the road. He sees the radar reading and immediately begins accelerating (8 m/s/s) in order to catch the delinquent teenager. How long and how far down the road does he catch Kyle?
2. After landing safely on the target the cat tries another projectile apparatus. This time the cat is shot out of a cannon over a 30 m high wall. The cat is launched at an angle of 55º0 and can be assumed to be at ground level during launch. With what speed (in km/h) does it have to be launched to make it approximately 5 m over the wall if the wall is 250 m from the cannon?
3. Box A (m=2.5 kg) is connected by a rope that passes over a frictionless pulley to Box B (m=5.5 kg), as shown in figure. The coefficient of kinetic friction between box and ramp is 0.54. Determine the acceleration of the boxes.
.
4. A 1.2×103 kg space probe, travelling initially at a speed of 9.5×103 m/s through deep space, fires its engines that produce a force of magnitude 9.2×104 N over a distance of 86 km. Determine the final speed of the probe.
6. An α particle of charge +3.2×10-19 C and mass 6.7×10-27 kg first accelerates through a potential difference of 1.2×103 V, then enters a uniform magnetic field of magnitude 0.25 T at 90º. Calculate the magnetic force on the particle.
8. Two sources are vibrating in phase, and set up waves in a ripple tank. A point P on the second nodal line is 12.0 cm from source A and 20.0 cm from source B. When the sources are started, it takes 2.0 s for the first wave to reach the edge of the tank, 30 cm from the source. Find the velocity, wavelength and frequency of the wave.