Wright State University Lake Campus/2017-1/Phy2400/printPDF

pc120161220T142038

Online study guide

T1

2/4 from 1417603 to a02_1Dkinem_definitions
2/4 from 1410638 to a02_1Dkinem_equations
2/4 from 1411599 to a03_2Dkinem_2dmotion
2/4 from 1411598 to a03_2Dkinem_smithtrain
3/12 from 1395847 to b_motionSimpleArithmetic
4/19 from 137851 to b_velocityAcceleration

T2

2/4 from 1411601 to a04DynForce Newton_forces
2/4 from 1411605 to a04DynForce Newton_sled
3/5 from 1411613 to a04DynForce Newton_tensions
3/5 from 1417994 to a05frictDragElast_3rdLaw
3/5 from 1418007 to a06uniformCircMotGravitation_friction
2/14 from 1411691 to a06uniformCircMotGravitation_proof

T3

2/3 from 1380215 to a07energy_cart1
2/3 from 1380821 to a07energy_cart2
2/3 from 1418173 to a08linearMomentumCollisions
3/5 from 1418177 to a09staticsTorques_torque
2/4 from 1412312 to a10rotationalMotionAngMom_dynamics
2/4 from 1412355 to a11fluidStatics_buoyantForce
2/4 from 1381800 to c07energy_lineIntegral

T4

2/4 from 1412378 to a12fluidDynamics_pipeDiameter
2/3 from 1412379 to a13TemperatureKineticTheoGasLaw_rmsTransfer
2/4 from 1412391 to a14HeatTransfer_specifHeatConduct
2/4 from 1412397 to a15Thermodynamics_heatEngine
2/4 from 1412409 to a16OscillationsWaves_amplitudes
1/3 from 1418299 to a17PhysHearing_echoString
1/16 from 1409885 to b_waves_PC
3/6 from 1412603 to c16OscillationsWaves_calculus

FE

1/4 from 1410638 to a02_1Dkinem_equations
1/4 from 1411599 to a03_2Dkinem_2dmotion
1/4 from 1411601 to a04DynForce Newton_forces
1/4 from 1411605 to a04DynForce Newton_sled
1/5 from 1418007 to a06uniformCircMotGravitation_friction
1/3 from 1380821 to a07energy_cart2
1/3 from 1418173 to a08linearMomentumCollisions
1/4 from 1412312 to a10rotationalMotionAngMom_dynamics
1/4 from 1412355 to a11fluidStatics_buoyantForce
1/4 from 1412378 to a12fluidDynamics_pipeDiameter
1/4 from 1412391 to a14HeatTransfer_specifHeatConduct
1/4 from 1412397 to a15Thermodynamics_heatEngine
1/19 from 137851 to b_velocityAcceleration
1/4 from 1381800 to c07energy_lineIntegral
1/6 from 1412603 to c16OscillationsWaves_calculus

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pc120161220T142038
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S_G: Studyguide

pc120161220T142038

1) A car traveling at 75.4 miles/hour stops in 1.9 seconds. What is the average acceleration?

a) 1.77 x 101 m/s2
b) 3.15 x 101 m/s2
c) 5.61 x 101 m/s2
d) 9.98 x 101 m/s2
e) 1.77 x 102 m/s2

2) A car completes a complete circle of radius 1.2 miles at a speed of 42 miles per hour. How many minutes does it take?

a) 3.41 x 100 minutes
b) 4.54 x 100 minutes
c) 6.06 x 100 minutes
d) 8.08 x 100 minutes
e) 1.08 x 101 minutes

3) A car traveling at 38.9 mph increases its speed to 43.7 mph in 3 seconds. What is the average acceleration?

a) 2.26 x 10-1 m/s2
b) 4.02 x 10-1 m/s2
c) 7.15 x 10-1 m/s2
d) 1.27 x 100 m/s2
e) 2.26 x 100 m/s2

4) Mr. Smith is backing his car at a speed of 2.33 mph when he hits a cornfield (seed corn). In the course of 1.22 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.68 mph. What was the magnitude ( absolute value) of his acceleration?

a) 2.94 x 100 miles per hour per second
b) 3.7 x 100 miles per hour per second
c) 4.66 x 100 miles per hour per second
d) 5.87 x 100 miles per hour per second
e) 7.39 x 100 miles per hour per second

5) A car is accelerating uniformly at an acceleration of 3.8m/s/s. At x = 4.5m, the speed is 3.6m/s. How fast is it moving at x = 11.5 m?

a) 8.13 m/s.
b) 9.76 m/s.
c) 11.71 m/s.
d) 14.06 m/s.
e) 16.87 m/s.

6) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

a) 2.43m/s2.
b) 2.92m/s2.
c) 3.5m/s2.
d) 4.2m/s2.
e) 5.04m/s2.

7) A train accelerates uniformly from 17.75 m/s to 31.625 m/s, while travelling a distance of 372 m. What is the 'average' acceleration?

a) 0.77m/s/s.
b) 0.92m/s/s.
c) 1.1m/s/s.
d) 1.33m/s/s.
e) 1.59m/s/s.

8) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 1173 m/s to 1878 m/s?

a) 39.17 s
b) 47 s
c) 56.4 s
d) 67.68 s
e) 81.22 s

9) A ball is kicked horizontally from a height of 2 m, at a speed of 7.7m/s. How far does it travel before landing?

a) 2.85 m.
b) 3.42 m.
c) 4.1 m.
d) 4.92 m.
e) 5.9 m.

10) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s2 in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

a) 36.26 degrees.
b) 41.7 degrees.
c) 47.96 degrees.
d) 55.15 degrees.
e) 63.43 degrees.

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

a) 0.23 s.
b) 0.27 s.
c) 0.33 s.
d) 0.4 s.
e) 0.47 s.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

13) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 25.2 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

a) 30 m/s.
b) 45 m/s.
c) 67.5 m/s.
d) 101.3 m/s.
e) 151.9 m/s.

14) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

a) 7.1 m/s.
b) 10.7 m/s.
c) 16 m/s.
d) 24 m/s.
e) 36 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 25.5 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

a) 10.7 m/s.
b) 16 m/s.
c) 24 m/s.
d) 36 m/s.
e) 54 m/s.

16) The Smith family got in trouble for having fun on a high speed train travelling at 47.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 95.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

a) 69.3 m/s.
b) 83.2 m/s.
c) 99.8 m/s.
d) 119.8 m/s.
e) 143.8 m/s.

17) A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 40 degrees. What is the tension in the string?

a) 11.2 N.
b) 12.9 N.
c) 14.8 N.
d) 17 N.
e) 19.6 N.

18) A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

a) 6.6 N.
b) 7.6 N.
c) 8.7 N.
d) 10 N.
e) 11.5 N.

19) A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

a) 4.6 m/s2.
b) 5.3 m/s2.
c) 6.1 m/s2.
d) 7 m/s2.
e) 8.1 m/s2.

20) A mass with weight (mg) 10.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.53 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

a) 0.38
b) 0.46
c) 0.55
d) 0.66
e) 0.79

21) A sled of mass 5.1 kg is at rest on a rough surface. A string pulls with a tension of 41.2N at an angle of 42 degress above the horizontal. What is the magnitude of the friction?

a) 23.15 N.
b) 26.62 N.
c) 30.62 N.
d) 35.21 N.
e) 40.49 N.

22) A sled of mass 5.8 kg is at rest on a rough surface. A string pulls with a tension of 41.9N at an angle of 42 degress above the horizontal. What is the normal force?

a) 18.94 N.
b) 21.78 N.
c) 25.05 N.
d) 28.8 N.
e) 33.12 N.

23) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 55 degress above the horizontal. How long will it take to reach a speed of 9.8 m/s?

a) 1.87 s
b) 2.15 s
c) 2.47 s
d) 2.85 s
e) 3.27 s

24) A sled of mass 2.5 kg is on perfectly smooth surface. A string pulls with a tension of 18.1N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2 m/s2?

a) 74 degrees
b) 85.1 degrees
c) 97.8 degrees
d) 112.5 degrees
e) 129.4 degrees
25)
In the figure shown, θ1 is 16 degrees, and θ3 is 30 degrees. The tension T3 is 45 N. What is the tension, T1?
a) 26.66 N.
b) 30.66 N.
c) 35.25 N.
d) 40.54 N.
e) 46.62 N.

26) In the figure "3 tensions" shown above θ1 is 18 degrees, and θ3 is 35 degrees. The tension T3 is 48 N. What is the weight?

a) 40.3 N.
b) 46.4 N.
c) 53.3 N.
d) 61.3 N.
e) 70.5 N.
27)
In the figure shown, θ is 28 degrees, and the mass is 2.9 kg. What is T2?
a) 60.54 N.
b) 69.62 N.
c) 80.06 N.
d) 92.07 N.
e) 105.88 N.
28)
In the figure shown, θ is 32 degrees, and the mass is 2.8 kg. What is T1?
a) 21.2 N.
b) 25.4 N.
c) 30.5 N.
d) 36.6 N.
e) 43.9 N.
29)
In the figure shown, θ1 is 18 degrees , and θ3 is 29 degrees . The mass has a weight of 50 N. What is the tension, T1?
a) 34.19 N.
b) 39.32 N.
c) 45.21 N.
d) 52 N.
e) 59.79 N.
30)
In the figure shown, the mass of m1 is 5.4 kg, and the mass of m2 is 3.9 kg. If the external force, Fext on m2 is 136 N, what is the tension in the connecting string? Assume no friction is present.
a) 79 N
b) 90.8 N
c) 104.4 N
d) 120.1 N
e) 138.1 N
31)
In the figure shown (with m1 = 7 kg, m2 = 3.6 kg, and Fext = 153 N), what is the acceleration? Assume no friction is present.
a) 12.6 m/s2
b) 14.4 m/s2
c) 16.6 m/s2
d) 19.1 m/s2
e) 22 m/s2

32) Nine barefoot baseball players, with a total mass of 640 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 385 kg. What is the maximum coefficient of the barefoot boys if they lose?

a) 0.303
b) 0.334
c) 0.367
d) 0.404
e) 0.444

33) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.33 . But the team wins a game of tug of war due to their superior mass of 663 kg. They are playing against a 5 person basketball team with a net mass of 422 kg. What is the maximum coefficient of static friction of the basketball team?

a) 0.39
b) 0.428
c) 0.471
d) 0.518
e) 0.57
34)
In the figure shown, the mass of m1 is 6.8 kg, and the mass of m2 is 3.3 kg. If the external force, Fext on m2 is 112 N, what is the tension in the connecting string? Assume that m1 has a kinetic coefficient of friction equal to 0.39, and that for m2 the coefficient is 0.46 .
a) 48.6 N
b) 55.9 N
c) 64.2 N
d) 73.9 N
e) 85 N

35) A merry-go-round has an angular frequency, ${\displaystyle \omega }$, equal to 0.15 rad/sec. How many minutes does it take to complete 9.5 revolutions?

a) 5.77 minutes.
b) 6.63 minutes.
c) 7.63 minutes.
d) 8.77 minutes.
e) 10.09 minutes.

36) A merry-go round has a period of 0.26 minutes. What is the centripetal force on a 53.3 kg person who is standing 1.35 meters from the center?

a) 7.7 newtons.
b) 8.8 newtons.
c) 10.2 newtons.
d) 11.7 newtons.
e) 13.4 newtons.

37) A merry-go round has a period of 0.32 minutes. What is the minimum coefficient of static friction that would allow a 88.1 kg person to stand1.73 meters from the center, without grabbing something?

a) 0.019
b) 0.022
c) 0.025
d) 0.029
e) 0.033

38) What is the gravitational acceleration on a plant that is 2.21 times more massive than Earth, and a radius that is 1.74 times greater than Earths?

a) 4.1 m/s2
b) 4.7 m/s2
c) 5.4 m/s2
d) 6.2 m/s2
e) 7.2 m/s2

39) What is the gravitational acceleration on a plant that is 1.47 times more dense than Earth, and a radius that is 1.42 times greater than Earth's?

a) 20.5 m/s2
b) 23.5 m/s2
c) 27.1 m/s2
d) 31.1 m/s2
e) 35.8 m/s2
40)
Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

a) No
b) Yes
41)
Is ${\displaystyle dv/r=d\ell /v}$ valid for uniform circular motion?

a) Yes
b) No
42)
Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

a) No
b) Yes
43)
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) Yes
b) No
44)
Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

a) Yes
b) No
45)
Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

a) No
b) Yes
46)
Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) No
b) Yes
47)
Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

a) No
b) Yes
48)
Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) No
b) Yes
49)
Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

a) No
b) Yes
50)
Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

a) Yes
b) No
51)
Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

a) No
b) Yes
52)
Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

a) Yes
b) No
53)
Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

a) Yes
b) No
54) If the initial velocity after leaving the spring is 5.30 m/s, how high does it reach before coming to rest?
a) 1.24 m
b) 1.30 m
c) 1.36 m
d) 1.43 m
e) 1.50 m
55) The mass of the cart is 4.0kg, and the spring constant is 5859N/m. If the initial compression of the spring is 1.00m, how high does it reach before coming to rest?
a) 7.12E+01 m
b) 7.47E+01 m
c) 7.85E+01 m
d) 8.24E+01 m
e) 8.65E+01 m
56) What is the highest point the cart reaches if the speed was 2.9m/s, when the cart was situated at a height of 3.5m?,
a) 2.88 m
b) 3.02 m
c) 3.17 m
d) 3.33 m
e) 3.50 m
57) The spring constant is 720N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.95m, before coming to rest?
a) 0.559 kg
b) 0.587 kg
c) 0.617 kg
d) 0.648 kg
e) 0.680 kg
58) The cart has a mass of 31.70kg. It is moving at a speed of 3.30m/s, when it is at a height of 3.61m. If the spring constant was 665N/m, what was the initial compression?
a) 1.72 m
b) 1.84 m
c) 1.97 m
d) 2.11 m
e) 2.26 m

59) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.218 m/s
b) 1.291 m/s
c) 1.368 m/s
d) 1.450 m/s
e) 1.537 m/s

60) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.8 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.32m/s.
b) 1.59m/s.
c) 1.91m/s.
d) 2.29m/s.
e) 2.75m/s.

61) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

a) 1507 kg
b) 1809 kg
c) 2170 kg
d) 2604 kg
e) 3125 kg
62)
A 159 gm bullet strikes a ballistic pendulum of mass 2.11 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?
a) 39 m/s.
b) 42 m/s.
c) 44 m/s.
d) 48 m/s.
e) 51 m/s.
63)
A massless bar of length, S = 8.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 25.4 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 5.2m from the wall. What is the tension, T, in the string?
a) 1.07E+02 N
b) 1.35E+02 N
c) 1.70E+02 N
d) 2.14E+02 N
e) 2.70E+02 N
64)
In the figure shown, L1 = 5.3m, L2 = 3.3m and L3 = 8.7m. What is F1 if F2 =8.7N and F3 =6N?
a) 7.09E+00 N
b) 8.58E+00 N
c) 1.04E+01 N
d) 1.26E+01 N
e) 1.53E+01 N
65)
A massless bar of length, S = 8.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 32 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 5.1m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?
a) 7.50E+01 N
b) 9.09E+01 N
c) 1.10E+02 N
d) 1.33E+02 N
e) 1.62E+02 N
66)
In the figure shown, L1 = 6.1m, L2 = 3.2m and L3 = 7.2m. What is F2 if F1 =0.77N and F3 =0N?
a) 8.25E-01 N
b) 1.00E+00 N
c) 1.21E+00 N
d) 1.47E+00 N
e) 1.78E+00 N
67)
A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26 degrees above the horizontal. An object of mass, M = 8.5kg is suspended at a length, L =6.1m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?
a) 1.46E+01 N
b) 1.77E+01 N
c) 2.14E+01 N
d) 2.60E+01 N
e) 3.15E+01 N

68) A car with a tire radius of 0.28 m accelerates from 0 to 22 m/s in 10 seconds. What is the angular acceleration of the wheel?

a) 5.35 x 100 m
b) 6.49 x 100 m
c) 7.86 x 100 m
d) 9.52 x 100 m
e) 1.15 x 101 m

69) A lead filled bicycle wheel of radius 0.35 m and mass 2.7 kg is rotating at a frequency of 1.5 revolutions per second. What is the moment of inertia?

a) 2.25 x 10-1 kg m2/s2
b) 2.73 x 10-1 kg m2/s2
c) 3.31 x 10-1 kg m2/s2
d) 4.01 x 10-1 kg m2/s2
e) 4.85 x 10-1 kg m2/s2

70) A lead filled bicycle wheel of radius 0.4 m and mass 2.7 kg is rotating at a frequency of 1.6 revolutions per second. What is the total kinetic energy if the wheel is rolling about a stationary axis?

a) 1.23 x 101 J
b) 1.49 x 101 J
c) 1.8 x 101 J
d) 2.18 x 101 J
e) 2.64 x 101 J
71)
The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR2. Two identical disks, each with mass 3 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.48 m. If a force of 70 N is applied at the rim of the smaller disk, what is the angular acceleration?
a) 2.83 x 101 s-2
b) 3.43 x 101 s-2
c) 4.16 x 101 s-2
d) 5.04 x 101 s-2
e) 6.11 x 101 s-2

72) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

3.40E4 Pa
4.12E4 Pa
4.99E4 Pa
6.04E4 Pa
7.32E4 Pa

73) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

5.56E3 N
6.73E3 N
8.16E3 N
9.89E3 N
1.20E4 N

74) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

7.12E3 N
8.96E3 N
1.13E4 N
1.42E4 N
1.79E4 N

75) A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

1.44E4 Pa
1.81E4 Pa
2.28E4 Pa
2.87E4 Pa
3.62E4 Pa

76) A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

a) 7.72E-1 m/s
b) 9.36E-1 m/s
c) 1.13E0 m/s
d) 1.37E0 m/s
e) 1.66E0 m/s

77) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

a) 1.91E3
b) 2.31E3
c) 2.80E3
d) 3.39E3
e) 4.11E3

78) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 22.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

a) 6.30E1 mm
b) 7.63E1 mm
c) 9.24E1 mm
d) 1.12E2 mm
e) 1.36E2 mm

79) A large cylinder is filled with water so that the bottom is 8.8 m below the waterline. At the bottom is a small hole with a diameter of 6.3E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

a) 1.08E1 m/s
b) 1.31E1 m/s
c) 1.59E1 m/s
d) 1.93E1 m/s
e) 2.34E1 m/s

80) What is the root-mean-square of -28, -38, and -13?

a) 2.519 x 101
b) 2.827 x 101
c) 3.172 x 101
d) 3.559 x 101
e) 3.993 x 101

81) What is the rms speed of a molecule with an atomic mass of 21 if the temperature is 58 degrees Fahrenheit?

a) 4.82 x 102 m/s
b) 5.84 x 102 m/s
c) 7.08 x 102 m/s
d) 8.58 x 102 m/s
e) 1.04 x 103 m/s

82) If a molecule with atomic mass equal to 3 amu has a speed of 405 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 24 ?

a) 8.05 x 101 m/s
b) 9.76 x 101 m/s
c) 1.18 x 102 m/s
d) 1.43 x 102 m/s
e) 1.73 x 102 m/s

83) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 kg is filled with 0.17 kg of water. How much heat does it take to raise both from 47.8 C to 83.2 C?

a) 3.37 x 104 J
b) 3.98 x 104 J
c) 4.69 x 104 J
d) 5.52 x 104 J
e) 6.51 x 104 J

84) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. What fraction of the heat went into the aluminum?

a) 2.7 x 10-1
b) 3.2 x 10-1
c) 3.8 x 10-1
d) 4.5 x 10-1
e) 5.3 x 10-1

85) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

a) 3.16 x 100 km
b) 3.83 x 100 km
c) 4.64 x 100 km
d) 5.62 x 100 km
e) 6.81 x 100 km

86) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 16 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.27. You also increase the thickness of the glass by a factor of 2. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

a) 1.5 x 100 unit
b) 1.81 x 100 unit
c) 2.2 x 100 unit
d) 2.66 x 100 unit
e) 3.23 x 100 unit
87)
A 1241 heat cycle uses 2.1 moles of an ideal gas. The pressures and volumes are: P1= 2.8 kPa, P2= 5.6 kPa. The volumes are V1= 2.1m3 and V4= 4.8m3. How much work is done in in one cycle?
a) 3.78 x 102 J
b) 1.2 x 103 J
c) 3.78 x 103 J
d) 1.2 x 104 J
e) 3.78 x 104 J
88)
A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P1= 3.1 kPa, P2= 4.3 kPa. The volumes are V1= 1.1m3 and V4= 2.8m3. How much work is involved between 1 and 4?
a) 1.67 x 103 J
b) 5.27 x 103 J
c) 1.67 x 104 J
d) 5.27 x 104 J
e) 1.67 x 105 J
89)
A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P1= 1.3 kPa, P2= 3.4 kPa. The volumes are V1= 2.5m3 and V4= 4.3m3. How much work is involved between 2 and 4?
a) 1.34 x 102 J
b) 4.23 x 102 J
c) 1.34 x 103 J
d) 4.23 x 103 J
e) 1.34 x 104 J
90)
A 1241 heat cycle uses 1.9 moles of an ideal gas. The pressures and volumes are: P1= 2.9 kPa, P2= 4.7 kPa. The volumes are V1= 2.7m3 and V4= 5.6m3. What is the temperature at step 4?
a) 1.03 x 101 K
b) 3.25 x 101 K
c) 1.03 x 102 K
d) 3.25 x 102 K
e) 1.03 x 103 K

91) A 0.062 kg mass is on a spring that causes the frequency of oscillation to be 65 cycles per second. The maximum velocity is 70.2 m/s. What is the maximum force on the mass?

a) 1.8 x 103 N
b) 3.8 x 103 N
c) 8.3 x 103 N
d) 1.8 x 104 N
e) 3.8 x 104 N

92) A spring with spring constant 9.6 kN/m is attached to a 9.1 gram mass. The maximum acelleration is 1.6 m/s2. What is the maximum displacement?

a) 4.8 x 10-7 m
b) 1.52 x 10-6 m
c) 4.8 x 10-6 m
d) 1.52 x 10-5 m
e) 4.8 x 10-5 m

93) A spring of spring constant 4.9 kN/m causes a mass to move with a period of 8.8 ms. The maximum displacement is 2.1 mm. What is the maximum kinetic energy?

a) 3.42 x 10-3 J
b) 1.08 x 10-2 J
c) 3.42 x 10-2 J
d) 1.08 x 10-1 J
e) 3.42 x 10-1 J

94) A spring with spring constant 1.1 kN/m undergoes simple harmonic motion with a frequency of 8.4 kHz. The maximum force is 3.8 N. What is the total energy?

a) 6.56 x 10-4 J
b) 2.08 x 10-3 J
c) 6.56 x 10-3 J
d) 2.08 x 10-2 J
e) 6.56 x 10-2 J

95) The temperature is -2.7 degrees Celsius, and you are standing 0.58 km from a cliff. What is the echo time?

a) 2.797 x 100 seconds
b) 3.02 x 100 seconds
c) 3.261 x 100 seconds
d) 3.521 x 100 seconds
e) 3.802 x 100 seconds

96) While standing 0.58 km from a cliff, you measure the echo time to be 3.38 seconds. What is the temperature?

a) 1.53 x 101Celsius
b) 1.76 x 101Celsius
c) 2.03 x 101Celsius
d) 2.35 x 101Celsius
e) 2.71 x 101Celsius

97) What is the speed of a transverse wave on a string if the string is 0.45 m long, clamped at both ends, and harmonic number 4 has a frequency of 996 Hz?

a) 1.53 x 102 unit
b) 1.85 x 102 unit
c) 2.24 x 102 unit
d) 2.72 x 102 unit
e) 3.29 x 102 unit

98) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

a) 5.0 meters
b) 3.0 meters
c) 6.0 meters
d) 4.0 meters
e) 7.0 meters

99) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

a) 11.0 meters
b) 7.0 meters
c) 9.0 meters
d) 8.0 meters
e) 10.0 meters

100) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 11.0 meters
b) 10.0 meters
c) 12.0 meters
d) 9.0 meters
e) 8.0 meters

101) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 9.0 meters
b) 5.0 meters
c) 7.0 meters
d) 8.0 meters
e) 6.0 meters

102) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 11.0 meters
b) 9.0 meters
c) 7.0 meters
d) 8.0 meters
e) 10.0 meters

103) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 23.0 meters
b) 21.0 meters
c) 22.0 meters
d) 19.0 meters
e) 20.0 meters

104) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

a) 3.0 meters
b) 7.0 meters
c) 5.0 meters
d) 4.0 meters
e) 6.0 meters

105) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 9.0 meters
b) 10.0 meters
c) 12.0 meters
d) 11.0 meters
e) 8.0 meters

106) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 16.0 meters
b) 19.0 meters
c) 20.0 meters
d) 17.0 meters
e) 18.0 meters

107) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

a) 3.0 meters
b) 4.0 meters
c) 1.0 meters
d) 2.0 meters
e) 5.0 meters

108) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 27.0 meters
b) 23.0 meters
c) 26.0 meters
d) 24.0 meters
e) 25.0 meters

109) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 14.0 meters
b) 16.0 meters
c) 15.0 meters
d) 17.0 meters
e) 13.0 meters

110) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

a) objects don't begin to accelerate until after the force has been applied
b) the cloth is accelerating for such a brief time that there is little motion
c) the cloth is more slippery when it is pulled quickly

111) If you toss a coin into the air, the acceleration while it as its highest point is

a) down
b) up
c) zero

112) If you toss a coin into the air, the velocity on the way up is

a) up
b) down
c) zero

113) If you toss a coin into the air, the velocity on the way down is

a) up
b) zero
c) down

114) If you toss a coin into the air, the velocity while it as its highest point is

a) zero
b) up
c) down

115) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) northwest
b) north
c) northeast
d) south
e) southwest

116) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) southwest
b) south
c) northwest
d) north
e) northeast

117) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

a) southeast
b) north
c) northwest
d) northeast
e) northeast

118) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

a) northwest
b) south
c) north
d) southwest
e) northeast

119) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) west
b) southeast
c) south
d) southwest
e) northwest

120) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) southeast
b) northwest
c) northeast
d) north
e) south

121) A car is traveling west and slowing down. The acceleration is

a) to the west
b) zero
c) to the east

122) A car is traveling east and slowing down. The acceleration is

a) to the east
b) zero
c) to the west

123) A car is traveling east and speeding up. The acceleration is

a) to the east
b) to the west
c) zero

124) If you toss a coin into the air, the acceleration on the way up is

a) zero
b) up
c) down

125) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

a) south
b) north
c) west
d) east
e) zero

126) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

a) zero
b) west
c) north
d) south
e) east

127) As the Moon circles Earth, the acceleration of the Moon is

a) opposite the direction of the Moon's velocity
b) zero
c) towards Earth
d) in the same direction as the Moon's velocity
e) away from Earth

128) If you toss a coin into the air, the acceleration on the way down is

a) up
b) zero
c) down

129) These two pulses will collide and produce

a) positive interference
b) negative diffraction
c) positive diffraction
d) negative interference

130) If a source of sound is moving towards you, the pitch becomes

a) unchanged
b) lower
c) higher

131) Why do rough walls give a concert hall a “fuller” sound, compared to smooth walls?

a) The difference in path lengths creates more reverberation.
b) The difference in path lengths creates more echo.
c) Rough walls make for a louder sound.

132) People don't usually perceive an echo when

a) it takes more than a tenth of a second after the original sound to arrive
b) it arrives at exactly the same pitch
c) it arrives less than a tenth of a second after the original sound
d) it arrives at a higher pitch
e) it arrives at a lower pitch

133) A dense rope is connected to a rope with less density (i.e. fewer kilograms per meter). If the rope is stretched and a wave is sent along high density rope,

a) the low density rope supports a wave with a lower frequency
b) the low density rope supports a wave with a higher speed
c) the low density rope supports a wave with a higher frequency
d) the low density rope supports a wave with a lower speed

134) What happens to the wavelength on a wave on a stretched string if the wave passes from lightweight (low density) region of the rope to a heavy (high density) rope?

a) the wavelength stays the same
b) the wavelength gets longer
c) the wavelength gets shorter

135) When a wave is reflected off a stationary barrier, the reflected wave

a) has higher frequency than the incident wave
b) both of these are true
c) has lower amplitude than the incident wave

136) Comparing a typical church to a professional baseball stadium, the church is likely to have

b) neither reverberation nor echo
d) both reverberation and echo

137) These two pulses will collide and produce

a) negative diffraction
b) negative interference
c) positive diffraction
d) positive interference

138) These two pulses will collide and produce

a) positive interference
b) negative diffraction
c) positive diffraction
d) negative interference

139) Two signals (dashed) add to a solid

a) octave
b) fifth
c) dissonance

140) Two signals (dashed) add to a solid

a) dissonance
b) fifth
c) octave

141) Two signals (dashed) add to a solid

a) octave
b) dissonance
c) fifth

142) Why don't we hear beats when two different notes on a piano are played at the same time?

a) The note is over by the time the first beat is heard
b) Reverberation usually stifles the beats
c) Echo usually stifles the beats
d) The beats happen so many times per second you can't hear them.

143) A tuning fork with a frequency of 440 Hz is played simultaneously with a tuning fork of 442 Hz. How many beats are heard in 10 seconds?

a) 40
b) 60
c) 50
d) 30
e) 20

144) If you start moving towards a source of sound, the pitch becomes

a) higher
b) unchanged
c) lower

145) Integrate the line integral of, ${\displaystyle {\vec {F}}=8.2xy{\hat {x}}+7.4y^{3}{\hat {y}}}$, along the y axis from y = 5 to y = 12

a) 3.25E+04
b) 3.48E+04
c) 3.72E+04
d) 3.98E+04
e) 4.26E+04

146) Integrate the function, ${\displaystyle {\vec {F}}=r^{3}\theta ^{4}{\hat {r}}+r^{6}\theta ^{5}{\hat {\theta }}}$ , along the first quadrant of a circle of radius 9

a) 1.12E+07
b) 1.20E+07
c) 1.28E+07
d) 1.37E+07
e) 1.47E+07

147) Integrate the line integral of ${\displaystyle {\vec {F}}=2.6xy{\hat {x}}+8.6x{\hat {y}}}$ from the origin to the point at x = 2.9 and y = 3.7

a) 7.31E+01
b) 7.82E+01
c) 8.37E+01
d) 8.96E+01
e) 9.58E+01

148) Integrate the function, ${\displaystyle {\vec {F}}=-x^{5}y^{3}{\hat {x}}+x^{5}y^{4}{\hat {y}}}$, as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1). Orient the path so its direction is out of the paper by the right hand rule

a) 3.43E-01
b) 3.67E-01
c) 3.92E-01
d) 4.20E-01
e) 4.49E-01

149) If a particle's position is given by x(t) = 7sin(3t-π/6), what is the velocity?

a) v(t) = 21cos(3t-π/6)
b) v(t) = -21cos(3t-π/6)
c) v(t) = 21sin(3t-π/6)
d) v(t) = 7cos(3t-π/6)
e) v(t) = -21sin(3t-π/6)

150) If a particle's position is given by x(t) = 7sin(3t-π/6), what is the acceleration?

a) a(t) = -21sin(3t-π/6)
b) a(t) = -63sin(3t-π/6)
c) a(t) = +21sin(3t-π/6)
d) a(t) = -21cos(3t-π/6)
e) a(t) = +63sin(3t-π/6)

151) If a particle's position is given by x(t) = 5cos(4t-π/6), what is the velocity?

a) v(t) = 20cos(4t-π/6)
b) v(t) = -20cos(4t-π/6)
c) v(t) = 20sin(4t-π/6)
d) v(t) = -20sin(4t-π/6)
e) v(t) = 5sin(4t-π/6)

152) If a particle's position is given by x(t) = 5sin(4t-π/6), what is the velocity?

a) v(t) = 20cos(4t-π/6)
b) v(t) = -20cos(4t-π/6)
c) v(t) = 20sin(4t-π/6)
d) v(t) = -20sin(4t-π/6)
e) v(t) = 5cos(4t-π/6)

153) If a particle's position is given by x(t) = 7cos(3t-π/6), what is the velocity?

a) v(t) = -21sin(3t-π/6)
b) v(t) = 7sin(3t-π/6)
c) v(t) = 21cos(3t-π/6)
d) v(t) = 21sin(3t-π/6)
e) v(t) = -21cos(3t-π/6)

154) If a particle's position is given by x(t) = 5sin(4t-π/6), what is the acceleration?

a) a(t) = -100cos(4t-π/6)
b) a(t) = -80sin(4t-π/6)
c) a(t) = +20sin(4t-π/6)
d) a(t) = -100sin(4t-π/6)
e) a(t) = +80sin(4t-π/6)

S_G (key)

1) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

+a) 4.64 x 100 m/s2
-b) 8.26 x 100 m/s2
-c) 1.47 x 101 m/s2
-d) 2.61 x 101 m/s2
-e) 4.64 x 101 m/s2

2) A car completes a complete circle of radius 1.2 miles at a speed of 42 miles per hour. How many minutes does it take?

-a) 3.41 x 100 minutes
-b) 4.54 x 100 minutes
-c) 6.06 x 100 minutes
-d) 8.08 x 100 minutes
+e) 1.08 x 101 minutes

3) A car traveling at 34.7 mph increases its speed to 37.7 mph in 1.2seconds. What is the average acceleration?

-a) 1.99 x 10-1 m/s2
-b) 3.53 x 10-1 m/s2
-c) 6.28 x 10-1 m/s2
+d) 1.12 x 100 m/s2
-e) 1.99 x 100 m/s2

4) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the magnitude ( absolute value) of his acceleration?

-a) 3.36 x 100 miles per hour per second
-b) 4.24 x 100 miles per hour per second
-c) 5.33 x 100 miles per hour per second
+d) 6.71 x 100 miles per hour per second
-e) 8.45 x 100 miles per hour per second

5) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

-a) 5.09 m/s.
-b) 6.11 m/s.
-c) 7.33 m/s.
+d) 8.79 m/s.
-e) 10.55 m/s.

6) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

-a) 2.43m/s2.
-b) 2.92m/s2.
-c) 3.5m/s2.
+d) 4.2m/s2.
-e) 5.04m/s2.

7) A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

+a) 1m/s/s.
-b) 1.2m/s/s.
-c) 1.43m/s/s.
-d) 1.72m/s/s.
-e) 2.07m/s/s.

8) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

-a) 45.27 s
+b) 54.32 s
-c) 65.18 s
-d) 78.22 s
-e) 93.86 s

9) A ball is kicked horizontally from a height of 2.2 m, at a speed of 9.8m/s. How far does it travel before landing?

+a) 6.57 m.
-b) 7.88 m.
-c) 9.46 m.
-d) 11.35 m.
-e) 13.62 m.

10) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s2 in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

-a) 36.26 degrees.
+b) 41.7 degrees.
-c) 47.96 degrees.
-d) 55.15 degrees.
-e) 63.43 degrees.

11) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

-a) 0.23 s.
-b) 0.27 s.
+c) 0.33 s.
-d) 0.4 s.
-e) 0.47 s.

12) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

13) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 20.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

-a) 20.5 m/s.
-b) 30.7 m/s.
-c) 46.1 m/s.
+d) 69.1 m/s.
-e) 103.7 m/s.

14) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 29 m/s. What was the muzzle speed of her bullet?

-a) 8.6 m/s.
-b) 12.9 m/s.
+c) 19.4 m/s.
-d) 29.1 m/s.
-e) 43.7 m/s.

15) The Smith family is having fun on a high speed train travelling at 47.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.9 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

-a) 24.8 m/s.
-b) 37.2 m/s.
+c) 55.8 m/s.
-d) 83.7 m/s.
-e) 125.5 m/s.

16) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 90.4 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

-a) 53.4 m/s.
-b) 64 m/s.
+c) 76.9 m/s.
-d) 92.2 m/s.
-e) 110.7 m/s.

17) A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

+a) 27.5 N.
-b) 31.6 N.
-c) 36.4 N.
-d) 41.8 N.
-e) 48.1 N.

18) A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

-a) 6.6 N.
-b) 7.6 N.
-c) 8.7 N.
-d) 10 N.
+e) 11.5 N.

19) A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

-a) 8.2 m/s2.
+b) 9.4 m/s2.
-c) 10.8 m/s2.
-d) 12.4 m/s2.
-e) 14.3 m/s2.

20) A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.44
+b) 0.53
-c) 0.64
-d) 0.76
-e) 0.92

21) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

-a) 19.64 N.
-b) 22.59 N.
-c) 25.98 N.
-d) 29.88 N.
+e) 34.36 N.

22) A sled of mass 5.7 kg is at rest on a rough surface. A string pulls with a tension of 40.1N at an angle of 42 degress above the horizontal. What is the normal force?

+a) 29.03 N.
-b) 33.38 N.
-c) 38.39 N.
-d) 44.15 N.
-e) 50.77 N.

23) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 46N at an angle of 32 degress above the horizontal. How long will it take to reach a speed of 9.1 m/s?

-a) 1.05 s
+b) 1.21 s
-c) 1.39 s
-d) 1.6 s
-e) 1.84 s

24) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 16.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.1 m/s2?

-a) 34.6 degrees
-b) 39.8 degrees
-c) 45.8 degrees
-d) 52.7 degrees
+e) 60.6 degrees
25)
In the figure shown, θ1 is 19 degrees, and θ3 is 38 degrees. The tension T3 is 21 N. What is the tension, T1?
-a) 10.01 N.
-b) 11.51 N.
-c) 13.23 N.
-d) 15.22 N.
+e) 17.5 N.

26) In the figure "3 tensions" shown above θ1 is 18 degrees, and θ3 is 35 degrees. The tension T3 is 48 N. What is the weight?

+a) 40.3 N.
-b) 46.4 N.
-c) 53.3 N.
-d) 61.3 N.
-e) 70.5 N.
27)
In the figure shown, θ is 28 degrees, and the mass is 2.9 kg. What is T2?
+a) 60.54 N.
-b) 69.62 N.
-c) 80.06 N.
-d) 92.07 N.
-e) 105.88 N.
28)
In the figure shown, θ is 28 degrees, and the mass is 2.9 kg. What is T1?
-a) 30.9 N.
-b) 37.1 N.
-c) 44.5 N.
+d) 53.5 N.
-e) 64.1 N.
29)
In the figure shown, θ1 is 17 degrees , and θ3 is 39 degrees . The mass has a weight of 42 N. What is the tension, T1?
-a) 34.24 N.
+b) 39.37 N.
-c) 45.28 N.
-d) 52.07 N.
-e) 59.88 N.
30)
In the figure shown, the mass of m1 is 5.1 kg, and the mass of m2 is 3.5 kg. If the external force, Fext on m2 is 135 N, what is the tension in the connecting string? Assume no friction is present.
-a) 45.8 N
-b) 52.6 N
-c) 60.5 N
-d) 69.6 N
+e) 80.1 N
31)
In the figure shown (with m1 = 7 kg, m2 = 3.6 kg, and Fext = 153 N), what is the acceleration? Assume no friction is present.
-a) 12.6 m/s2
+b) 14.4 m/s2
-c) 16.6 m/s2
-d) 19.1 m/s2
-e) 22 m/s2

32) Nine barefoot baseball players, with a total mass of 625 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.54 . The net mass of the (shoed) basketball team is 445 kg. What is the maximum coefficient of the barefoot boys if they lose?

-a) 0.263
-b) 0.289
-c) 0.318
-d) 0.35
+e) 0.384

33) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.3 . But the team wins a game of tug of war due to their superior mass of 662 kg. They are playing against a 5 person basketball team with a net mass of 430 kg. What is the maximum coefficient of static friction of the basketball team?

-a) 0.42
+b) 0.462
-c) 0.508
-d) 0.559
-e) 0.615
34)
In the figure shown, the mass of m1 is 6 kg, and the mass of m2 is 3.2 kg. If the external force, Fext on m2 is 173 N, what is the tension in the connecting string? Assume that m1 has a kinetic coefficient of friction equal to 0.31, and that for m2 the coefficient is 0.44 .
+a) 110.2 N
-b) 126.7 N
-c) 145.7 N
-d) 167.6 N
-e) 192.7 N

35) A merry-go-round has an angular frequency, ${\displaystyle \omega }$, equal to 0.198 rad/sec. How many minutes does it take to complete 10.5 revolutions?

-a) 4.83 minutes.
+b) 5.55 minutes.
-c) 6.39 minutes.
-d) 7.34 minutes.
-e) 8.45 minutes.

36) A merry-go round has a period of 0.34 minutes. What is the centripetal force on a 51.4 kg person who is standing 3.09 meters from the center?

-a) 8.6 newtons.
-b) 9.9 newtons.
-c) 11.4 newtons.
-d) 13.1 newtons.
+e) 15.1 newtons.

37) A merry-go round has a period of 0.38 minutes. What is the minimum coefficient of static friction that would allow a 64.8 kg person to stand1.76 meters from the center, without grabbing something?

-a) 0.008
-b) 0.009
-c) 0.01
-d) 0.012
+e) 0.014

38) What is the gravitational acceleration on a plant that is 2.59 times more massive than Earth, and a radius that is 1.75 times greater than Earths?

+a) 8.3 m/s2
-b) 9.5 m/s2
-c) 11 m/s2
-d) 12.6 m/s2
-e) 14.5 m/s2

39) What is the gravitational acceleration on a plant that is 1.47 times more dense than Earth, and a radius that is 1.42 times greater than Earth's?

+a) 20.5 m/s2
-b) 23.5 m/s2
-c) 27.1 m/s2
-d) 31.1 m/s2
-e) 35.8 m/s2
40)
Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

-a) No
+b) Yes
41)
Is ${\displaystyle dv/r=d\ell /v}$ valid for uniform circular motion?

-a) Yes
+b) No
42)
Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

-a) Yes
+b) No
43)
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

-a) Yes
+b) No
44)
Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

-a) Yes
+b) No
45)
Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

+a) No
-b) Yes
46)
Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

-a) No
+b) Yes
47)
Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

+a) Yes
-b) No
48)
Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

+a) Yes
-b) No
49)
Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

-a) No
+b) Yes
50)
Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

+a) Yes
-b) No
51)
Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

+a) Yes
-b) No
52)
Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

+a) No
-b) Yes
53)
Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

-a) Yes
+b) No
54) If the initial velocity after leaving the spring is 9.80 m/s, how high does it reach before coming to rest?
- a) 4.44 m
- b) 4.67 m
+ c) 4.90 m
- d) 5.15 m
- e) 5.40 m
55) The mass of the cart is 2.0kg, and the spring constant is 8128N/m. If the initial compression of the spring is 5.00m, how high does it reach before coming to rest?
- a) 4.26E+03 m
- b) 4.48E+03 m
- c) 4.70E+03 m
- d) 4.94E+03 m
+ e) 5.18E+03 m
56) What is the highest point the cart reaches if the speed was 2.6m/s, when the cart was situated at a height of 2.5m?,
- a) 2.27 m
- b) 2.38 m
+ c) 2.50 m
- d) 2.63 m
- e) 2.76 m
57) The spring constant is 608N/m, and the initial compression is 0.20m. What is the mass if the cart reaches a height of 1.68m, before coming to rest?
- a) 0.608 kg
- b) 0.638 kg
- c) 0.670 kg
- d) 0.703 kg
+ e) 0.739 kg
58) The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?
+ a) 2.30 m
- b) 2.46 m
- c) 2.63 m
- d) 2.82 m
- e) 3.02 m

59) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

60) On object of mass 2.3 kg that is moving at a velocity of 16m/s collides with a stationary object of mass 9.6 kg. What is the final velocity if they stick? (Assume no external friction.)

-a) 1.49m/s.
-b) 1.79m/s.
-c) 2.15m/s.
-d) 2.58m/s.
+e) 3.09m/s.

61) A car of mass 674 kg is driving on an icy road at a speed of 16 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

-a) 801 kg
-b) 961 kg
+c) 1154 kg
-d) 1385 kg
-e) 1661 kg
62)
A 159 gm bullet strikes a ballistic pendulum of mass 2.27 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?
+a) 55 m/s.
-b) 58 m/s.
-c) 62 m/s.
-d) 67 m/s.
-e) 71 m/s.
63)
A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.6 degrees above the horizontal. An object of mass, M = 6.4kg is suspended at a length, L = 6.1m from the wall. What is the tension, T, in the string?
-a) 4.48E+01 N
-b) 5.63E+01 N
-c) 7.09E+01 N
-d) 8.93E+01 N
+e) 1.12E+02 N
64)
In the figure shown, L1 = 6.7m, L2 = 3.7m and L3 = 7.9m. What is F1 if F2 =7.2N and F3 =5.4N?
+a) 1.03E+01 N
-b) 1.25E+01 N
-c) 1.52E+01 N
-d) 1.84E+01 N
-e) 2.23E+01 N
65)
A massless bar of length, S = 7.5m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 25.6 degrees above the horizontal. An object of mass, M = 3.5kg is suspended at a length, L = 5.1m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?
-a) 3.32E+01 N
-b) 4.02E+01 N
+c) 4.87E+01 N
-d) 5.90E+01 N
-e) 7.15E+01 N
66)
In the figure shown, L1 = 6.4m, L2 = 3.4m and L3 = 7.1m. What is F2 if F1 =0.87N and F3 =0.1N?
+a) 1.43E+00 N
-b) 1.73E+00 N
-c) 2.10E+00 N
-d) 2.54E+00 N
-e) 3.08E+00 N
67)
A massless bar of length, S = 9.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26 degrees above the horizontal. An object of mass, M = 9.1kg is suspended at a length, L =5.6m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?
-a) 3.20E+01 N
+b) 3.87E+01 N
-c) 4.69E+01 N
-d) 5.69E+01 N
-e) 6.89E+01 N

68) A car with a tire radius of 0.21 m accelerates from 0 to 29 m/s in 11 seconds. What is the angular acceleration of the wheel?

+a) 1.26 x 101 m
-b) 1.52 x 101 m
-c) 1.84 x 101 m
-d) 2.23 x 101 m
-e) 2.7 x 101 m

69) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the moment of inertia?

+a) 2.87 x 10-1 kg m2/s2
-b) 3.48 x 10-1 kg m2/s2
-c) 4.22 x 10-1 kg m2/s2
-d) 5.11 x 10-1 kg m2/s2
-e) 6.19 x 10-1 kg m2/s2

70) A lead filled bicycle wheel of radius 0.4 m and mass 2.7 kg is rotating at a frequency of 1.6 revolutions per second. What is the total kinetic energy if the wheel is rolling about a stationary axis?

-a) 1.23 x 101 J
-b) 1.49 x 101 J
-c) 1.8 x 101 J
+d) 2.18 x 101 J
-e) 2.64 x 101 J
71)
The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR2. Two identical disks, each with mass 3 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.48 m. If a force of 70 N is applied at the rim of the smaller disk, what is the angular acceleration?
-a) 2.83 x 101 s-2
-b) 3.43 x 101 s-2
+c) 4.16 x 101 s-2
-d) 5.04 x 101 s-2
-e) 6.11 x 101 s-2

72) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- 2.54E4 Pa
- 3.07E4 Pa
- 3.72E4 Pa
+ 4.51E4 Pa
- 5.46E4 Pa

73) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- 5.56E3 N
+ 6.74E3 N
- 8.16E3 N
- 9.89E3 N
- 1.20E4 N

74) A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is what is the force exerted by the water at the top surface?

- 6.10E3 N
- 7.68E3 N
- 9.67E3 N
+ 1.22E4 N
- 1.53E4 N

75) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

- 8.17E3 Pa
- 1.03E4 Pa
+ 1.29E4 Pa
- 1.63E4 Pa
- 2.05E4 Pa

76) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

+a) 1.14E0 m/s
-b) 1.38E0 m/s
-c) 1.67E0 m/s
-d) 2.02E0 m/s
-e) 2.45E0 m/s

77) A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

-a) 4.84E2
-b) 5.87E2
-c) 7.11E2
+d) 8.61E2
-e) 1.04E3

78) A 6.5 cm diameter pipe can fill a 1.8 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 30.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

-a) 1.63E2 mm
-b) 1.98E2 mm
+c) 2.40E2 mm
-d) 2.90E2 mm
-e) 3.52E2 mm

79) A large cylinder is filled with water so that the bottom is 7.0 m below the waterline. At the bottom is a small hole with a diameter of 7.8E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

-a) 7.98E0 m/s
-b) 9.67E0 m/s
+c) 1.17E1 m/s
-d) 1.42E1 m/s
-e) 1.72E1 m/s

80) What is the root-mean-square of -19, -16, and -19?

-a) 1.278 x 101
-b) 1.434 x 101
-c) 1.609 x 101
+d) 1.806 x 101
-e) 2.026 x 101

81) What is the rms speed of a molecule with an atomic mass of 11 if the temperature is 48 degrees Fahrenheit?

-a) 4.5 x 102 m/s
-b) 5.45 x 102 m/s
-c) 6.6 x 102 m/s
+d) 8 x 102 m/s
-e) 9.69 x 102 m/s

82) If a molecule with atomic mass equal to 8 amu has a speed of 475 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 28 ?

-a) 1.73 x 102 m/s
-b) 2.1 x 102 m/s
+c) 2.54 x 102 m/s
-d) 3.08 x 102 m/s
-e) 3.73 x 102 m/s

83) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. How much heat does it take to raise both from 21.9 C to 98.6 C?

-a) 7.88 x 104 J
-b) 9.29 x 104 J
+c) 1.1 x 105 J
-d) 1.29 x 105 J
-e) 1.52 x 105 J

84) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. What fraction of the heat went into the aluminum?

-a) 3.3 x 10-1
+b) 3.8 x 10-1
-c) 4.5 x 10-1
-d) 5.3 x 10-1
-e) 6.3 x 10-1

85) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

-a) 6.33 x 100 km
-b) 7.66 x 100 km
-c) 9.29 x 100 km
-d) 1.13 x 101 km
+e) 1.36 x 101 km

86) A window is square, with a length of each side equal to 0.79 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.33. You also increase the thickness of the glass by a factor of 2.17. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

-a) 2.16 x 100 unit
-b) 2.62 x 100 unit
-c) 3.17 x 100 unit
+d) 3.84 x 100 unit
-e) 4.65 x 100 unit
87)
A 1241 heat cycle uses 3.1 moles of an ideal gas. The pressures and volumes are: P1= 2.5 kPa, P2= 4.5 kPa. The volumes are V1= 1.4m3 and V4= 2.9m3. How much work is done in in one cycle?
-a) 4.74 x 102 J
+b) 1.5 x 103 J
-c) 4.74 x 103 J
-d) 1.5 x 104 J
-e) 4.74 x 104 J
88)
A 1241 heat cycle uses 2.8 moles of an ideal gas. The pressures and volumes are: P1= 1.5 kPa, P2= 2.7 kPa. The volumes are V1= 1.9m3 and V4= 4.4m3. How much work is involved between 1 and 4?
-a) 3.75 x 102 J
-b) 1.19 x 103 J
+c) 3.75 x 103 J
-d) 1.19 x 104 J
-e) 3.75 x 104 J
89)
A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P1= 1.7 kPa, P2= 3.1 kPa. The volumes are V1= 2.8m3 and V4= 4.3m3. How much work is involved between 2 and 4?
+a) 3.6 x 103 J
-b) 1.14 x 104 J
-c) 3.6 x 104 J
-d) 1.14 x 105 J
-e) 3.6 x 105 J
90)
A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P1= 1.6 kPa, P2= 4.3 kPa. The volumes are V1= 2.9m3 and V4= 5.8m3. What is the temperature at step 4?
-a) 8.59 x 100 K
-b) 2.71 x 101 K
-c) 8.59 x 101 K
-d) 2.71 x 102 K
+e) 8.59 x 102 K

91) A 0.187 kg mass is on a spring that causes the frequency of oscillation to be 34 cycles per second. The maximum velocity is 90.3 m/s. What is the maximum force on the mass?

-a) 1.7 x 102 N
-b) 3.6 x 102 N
-c) 7.8 x 102 N
-d) 1.7 x 103 N
+e) 3.6 x 103 N

92) A spring with spring constant 7.8 kN/m is attached to a 5.7 gram mass. The maximum acelleration is 5.9 m/s2. What is the maximum displacement?

-a) 1.36 x 10-7 m
-b) 4.31 x 10-7 m
-c) 1.36 x 10-6 m
+d) 4.31 x 10-6 m
-e) 1.36 x 10-5 m

93) A spring of spring constant 8.4 kN/m causes a mass to move with a period of 2.2 ms. The maximum displacement is 2.1 mm. What is the maximum kinetic energy?

-a) 1.85 x 10-3 J
-b) 5.86 x 10-3 J
+c) 1.85 x 10-2 J
-d) 5.86 x 10-2 J
-e) 1.85 x 10-1 J

94) A spring with spring constant 7.7 kN/m undergoes simple harmonic motion with a frequency of 4.4 kHz. The maximum force is 9.4 N. What is the total energy?

-a) 5.74 x 10-5 J
-b) 1.81 x 10-4 J
-c) 5.74 x 10-4 J
-d) 1.81 x 10-3 J
+e) 5.74 x 10-3 J

95) The temperature is -3 degrees Celsius, and you are standing 0.66 km from a cliff. What is the echo time?

-a) 2.949 x 100 seconds
-b) 3.184 x 100 seconds
-c) 3.438 x 100 seconds
-d) 3.713 x 100 seconds
+e) 4.009 x 100 seconds

96) While standing 0.83 km from a cliff, you measure the echo time to be 4.832 seconds. What is the temperature?

-a) 1.57 x 101Celsius
-b) 1.81 x 101Celsius
+c) 2.09 x 101Celsius
-d) 2.42 x 101Celsius
-e) 2.79 x 101Celsius

97) What is the speed of a transverse wave on a string if the string is 0.94 m long, clamped at both ends, and harmonic number 5 has a frequency of 715 Hz?

-a) 1.83 x 102 unit
-b) 2.22 x 102 unit
+c) 2.69 x 102 unit
-d) 3.26 x 102 unit
-e) 3.95 x 102 unit

98) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

-a) 3.0 meters
-b) 5.0 meters
-c) 7.0 meters
-d) 4.0 meters
+e) 6.0 meters

99) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

-a) 8.0 meters
+b) 10.0 meters
-c) 7.0 meters
-d) 9.0 meters
-e) 11.0 meters

100) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 10.0 meters
+b) 12.0 meters
-c) 11.0 meters
-d) 9.0 meters
-e) 8.0 meters

101) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 5.0 meters
-b) 8.0 meters
-c) 7.0 meters
-d) 9.0 meters
+e) 6.0 meters

102) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

-a) 9.0 meters
-b) 8.0 meters
-c) 7.0 meters
+d) 10.0 meters
-e) 11.0 meters

103) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 23.0 meters
+b) 20.0 meters
-c) 21.0 meters
-d) 22.0 meters
-e) 19.0 meters

104) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

-a) 4.0 meters
-b) 7.0 meters
-c) 5.0 meters
+d) 3.0 meters
-e) 6.0 meters

105) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 8.0 meters
-b) 10.0 meters
+c) 9.0 meters
-d) 12.0 meters
-e) 11.0 meters

106) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 18.0 meters
-b) 17.0 meters
-c) 19.0 meters
-d) 20.0 meters
+e) 16.0 meters

107) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

-a) 2.0 meters
-b) 1.0 meters
-c) 4.0 meters
-d) 5.0 meters
+e) 3.0 meters

108) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

-a) 26.0 meters
+b) 24.0 meters
-c) 23.0 meters
-d) 27.0 meters
-e) 25.0 meters

109) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 17.0 meters
-b) 15.0 meters
-c) 14.0 meters
+d) 16.0 meters
-e) 13.0 meters

110) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

-a) the cloth is more slippery when it is pulled quickly
-b) objects don't begin to accelerate until after the force has been applied
+c) the cloth is accelerating for such a brief time that there is little motion

111) If you toss a coin into the air, the acceleration while it as its highest point is

+a) down
-b) up
-c) zero

112) If you toss a coin into the air, the velocity on the way up is

-a) down
-b) zero
+c) up

113) If you toss a coin into the air, the velocity on the way down is

-a) up
+b) down
-c) zero

114) If you toss a coin into the air, the velocity while it as its highest point is

+a) zero
-b) down
-c) up

115) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

-a) south
+b) northwest
-c) northeast
-d) southwest
-e) north

116) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

-a) southwest
-b) northwest
-c) north
-d) south
+e) northeast

117) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

-a) southeast
-b) northwest
-c) northeast
-d) northeast
+e) north

118) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

+a) north
-b) south
-c) southwest
-d) northwest
-e) northeast

119) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

-a) southeast
-b) northwest
-c) south
+d) southwest
-e) west

120) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

-a) northeast
-b) northwest
+c) southeast
-d) north
-e) south

121) A car is traveling west and slowing down. The acceleration is

-a) to the west
+b) to the east
-c) zero

122) A car is traveling east and slowing down. The acceleration is

-a) to the east
+b) to the west
-c) zero

123) A car is traveling east and speeding up. The acceleration is

-a) zero
+b) to the east
-c) to the west

124) If you toss a coin into the air, the acceleration on the way up is

-a) zero
+b) down
-c) up

125) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

-a) south
-b) east
-c) north
-d) zero
+e) west

126) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

-a) west
-b) north
-c) zero
+d) east
-e) south

127) As the Moon circles Earth, the acceleration of the Moon is

-a) opposite the direction of the Moon's velocity
-b) zero
-c) in the same direction as the Moon's velocity
+d) towards Earth
-e) away from Earth

128) If you toss a coin into the air, the acceleration on the way down is

-a) up
+b) down
-c) zero

129) These two pulses will collide and produce

-a) positive diffraction
-b) negative diffraction
+c) positive interference
-d) negative interference

130) If a source of sound is moving towards you, the pitch becomes

-a) unchanged
+b) higher
-c) lower

131) Why do rough walls give a concert hall a “fuller” sound, compared to smooth walls?

-a) Rough walls make for a louder sound.
-b) The difference in path lengths creates more echo.
+c) The difference in path lengths creates more reverberation.

132) People don't usually perceive an echo when

+a) it arrives less than a tenth of a second after the original sound
-b) it takes more than a tenth of a second after the original sound to arrive
-c) it arrives at a lower pitch
-d) it arrives at a higher pitch
-e) it arrives at exactly the same pitch

133) A dense rope is connected to a rope with less density (i.e. fewer kilograms per meter). If the rope is stretched and a wave is sent along high density rope,

-a) the low density rope supports a wave with a lower frequency
+b) the low density rope supports a wave with a higher speed
-c) the low density rope supports a wave with a lower speed
-d) the low density rope supports a wave with a higher frequency

134) What happens to the wavelength on a wave on a stretched string if the wave passes from lightweight (low density) region of the rope to a heavy (high density) rope?

-a) the wavelength stays the same
-b) the wavelength gets shorter
+c) the wavelength gets longer

135) When a wave is reflected off a stationary barrier, the reflected wave

+a) has lower amplitude than the incident wave
-b) has higher frequency than the incident wave
-c) both of these are true

136) Comparing a typical church to a professional baseball stadium, the church is likely to have

-a) both reverberation and echo
-d) neither reverberation nor echo

137) These two pulses will collide and produce

-a) positive diffraction
-b) negative diffraction
+c) negative interference
-d) positive interference

138) These two pulses will collide and produce

-a) positive diffraction
-b) negative interference
+c) positive interference
-d) negative diffraction

139) Two signals (dashed) add to a solid

-a) dissonance
-b) fifth
+c) octave

140) Two signals (dashed) add to a solid

+a) dissonance
-b) octave
-c) fifth

141) Two signals (dashed) add to a solid

-a) dissonance
-b) octave
+c) fifth

142) Why don't we hear beats when two different notes on a piano are played at the same time?

-a) Echo usually stifles the beats
-b) The note is over by the time the first beat is heard
+c) The beats happen so many times per second you can't hear them.
-d) Reverberation usually stifles the beats

143) A tuning fork with a frequency of 440 Hz is played simultaneously with a tuning fork of 442 Hz. How many beats are heard in 10 seconds?

-a) 60
-b) 30
-c) 50
-d) 40
+e) 20

144) If you start moving towards a source of sound, the pitch becomes

+a) higher
-b) lower
-c) unchanged

145) Integrate the line integral of, ${\displaystyle {\vec {F}}=6.9xy{\hat {x}}+5.5y^{3}{\hat {y}}}$, along the y axis from y = 7 to y = 18

+ a) 1.41E+05
- b) 1.51E+05
- c) 1.61E+05
- d) 1.73E+05
- e) 1.85E+05

146) Integrate the function, ${\displaystyle {\vec {F}}=r^{9}\theta ^{3}{\hat {r}}+r^{8}\theta ^{7}{\hat {\theta }}}$ , along the first quadrant of a circle of radius 4

- a) 1.14E+06
+ b) 1.21E+06
- c) 1.30E+06
- d) 1.39E+06
- e) 1.49E+06

147) Integrate the line integral of ${\displaystyle {\vec {F}}=2xy{\hat {x}}+9.5x{\hat {y}}}$ from the origin to the point at x = 2.1 and y = 3.8

+ a) 4.91E+01
- b) 5.25E+01
- c) 5.62E+01
- d) 6.01E+01
- e) 6.43E+01

148) Integrate the function, ${\displaystyle {\vec {F}}=-x^{3}y^{5}{\hat {x}}+x^{2}y^{3}{\hat {y}}}$, as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1). Orient the path so its direction is out of the paper by the right hand rule

- a) 3.81E-01
- b) 4.08E-01
- c) 4.37E-01
- d) 4.67E-01
+ e) 5.00E-01

149) If a particle's position is given by x(t) = 7sin(3t-π/6), what is the velocity?

-a) v(t) = 7cos(3t-π/6)
-b) v(t) = 21sin(3t-π/6)
-c) v(t) = -21sin(3t-π/6)
-d) v(t) = -21cos(3t-π/6)
+e) v(t) = 21cos(3t-π/6)

150) If a particle's position is given by x(t) = 7sin(3t-π/6), what is the acceleration?

-a) a(t) = -21sin(3t-π/6)
+b) a(t) = -63sin(3t-π/6)
-c) a(t) = +63sin(3t-π/6)
-d) a(t) = +21sin(3t-π/6)
-e) a(t) = -21cos(3t-π/6)

151) If a particle's position is given by x(t) = 5cos(4t-π/6), what is the velocity?

-a) v(t) = -20cos(4t-π/6)
-b) v(t) = 20cos(4t-π/6)
-c) v(t) = 20sin(4t-π/6)
+d) v(t) = -20sin(4t-π/6)
-e) v(t) = 5sin(4t-π/6)

152) If a particle's position is given by x(t) = 5sin(4t-π/6), what is the velocity?

-a) v(t) = -20sin(4t-π/6)
-b) v(t) = 20sin(4t-π/6)
+c) v(t) = 20cos(4t-π/6)
-d) v(t) = -20cos(4t-π/6)
-e) v(t) = 5cos(4t-π/6)

153) If a particle's position is given by x(t) = 7cos(3t-π/6), what is the velocity?

-a) v(t) = 7sin(3t-π/6)
-b) v(t) = 21cos(3t-π/6)
-c) v(t) = -21cos(3t-π/6)
-d) v(t) = 21sin(3t-π/6)
+e) v(t) = -21sin(3t-π/6)

154) If a particle's position is given by x(t) = 5sin(4t-π/6), what is the acceleration?

-a) a(t) = +20sin(4t-π/6)
+b) a(t) = -80sin(4t-π/6)
-c) a(t) = -100sin(4t-π/6)
-d) a(t) = -100cos(4t-π/6)
-e) a(t) = +80sin(4t-π/6)

List of questions for each test

 questions max T1 T2 T3 T4 FE oldid q_ 1st 1−4 4 2 0 0 0 0 1417603 [1] [2] 5−8 4 2 0 0 0 1 1410638 [3] [4] 9−12 4 2 0 0 0 1 1411599 [5] [6] 13−16 4 2 0 0 0 0 1411598 [7] [8] 17−20 4 0 2 0 0 1 1411601 [9] [10] 21−24 4 0 2 0 0 1 1411605 [11] [12] 25−29 5 0 3 0 0 0 1411613 [13] [14] 30−34 5 0 3 0 0 0 1417994 [15] [16] 35−39 5 0 3 0 0 1 1418007 [17] [18] 40−53 14 0 2 0 0 0 1411691 [19] [20] 54−56 3 0 0 2 0 0 1380215 [21] [22] 57−59 3 0 0 2 0 1 1380821 [23] [24] 60−62 3 0 0 2 0 1 1418173 [25] [26] 63−67 5 0 0 3 0 0 1418177 [27] [28] 68−71 4 0 0 2 0 1 1412312 [29] [30] 72−75 4 0 0 2 0 1 1412355 [31] [32] 76−79 4 0 0 0 2 1 1412378 [33] [34] 80−82 3 0 0 0 2 0 1412379 [35] [36] 83−86 4 0 0 0 2 1 1412391 [37] [38] 87−90 4 0 0 0 2 1 1412397 [39] [40] 91−94 4 0 0 0 2 0 1412409 [41] [42] 95−97 3 0 0 0 1 0 1418299 [43] [44] 98−109 12 3 0 0 0 0 1395847 [45] [46] 110−128 19 4 0 0 0 1 137851 [47] [48] 129−144 16 0 0 0 1 0 1409885 [49] [50] 145−148 4 0 0 2 0 1 1381800 [51] [52] 149−154 6 0 0 0 3 1 1412603 [53] [54]

First question in quiz

1. a02_1Dkinem_definitions
2. _{A car traveling at 35.3 miles/hour stops in 4.3 seconds. What is the average acceleration?}
3. a02_1Dkinem_equations
4. _{A car is accelerating uniformly at an acceleration of 4.25m/s/s. At x = 7.25m, the speed is 3.7m/s. How fast is it moving at x = 12.25 m?}
5. a03_2Dkinem_2dmotion
6. _{A ball is kicked horizontally from a height of 2.3 m, at a speed of 7.8m/s. How far does it travel before landing?}
7. a03_2Dkinem_smithtrain
8. _{The Smith family is having fun on a high speed train travelling at 49.8 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.4 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?}
9. a04DynForce Newton_forces
10. _{A mass with weight (mg) of 44 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 60 degrees. What is the tension in the string?}
11. a04DynForce Newton_sled
12. _{A sled of mass 5.4 kg is at rest on a rough surface. A string pulls with a tension of 43.4N at an angle of 31 degrees above the horizontal. What is the magnitude of the friction?}
13. a04DynForce Newton_tensions
14. _{
In the figure shown, θ1 is 18 degrees, and θ3 is 34 degrees. The tension T3 is 24 N. What is the tension, T1?
}
15. a05frictDragElast_3rdLaw
16. _{
In the figure shown, the mass of m1 is 5.4 kg, and the mass of m2 is 3.2 kg. If the external force, Fext on m2 is 104 N, what is the tension in the connecting string? Assume no friction is present.}
17. a06uniformCircMotGravitation_friction
18. _{A merry-go-round has an angular frequency, ${\displaystyle \omega }$, equal to 0.15 rad/sec. How many minutes does it take to complete 8.5 revolutions? }
19. a06uniformCircMotGravitation_proof
20. _{
Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

}
21. a07energy_cart1
22. _{If the initial velocity after leaving the spring is 5.00 m/s, how high does it reach before coming to rest?
}
23. a07energy_cart2
24. _{The spring constant is 561N/m, and the initial compression is 0.12m. What is the mass if the cart reaches a height of 1.38m, before coming to rest?
}
25. a08linearMomentumCollisions
26. _{On object of mass 2.8 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 20.47 kg. What is the final velocity if they stick? (Assume no external friction.)}
27. a09staticsTorques_torque
28. _{
A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar is held horizontal by a string that makes and angle θ = 37.4 degrees above the horizontal. An object of mass, M = 6kg is suspended at a length, L = 5.4m from the wall. What is the tension, T, in the string?}
29. a10rotationalMotionAngMom_dynamics
30. _{A car with a tire radius of 0.26 m accelerates from 0 to 36 m/s in 6.8 seconds. What is the angular acceleration of the wheel?}
31. a11fluidStatics_buoyantForce
32. _{A cylinder with a radius of 0.22 m and a length of 2.2 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 826.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?}
33. a12fluidDynamics_pipeDiameter
34. _{A 8.3 cm diameter pipe can fill a 1.7 m^3 volume in 6.0 minutes. Before exiting the pipe, the diameter is reduced to 3.0 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?}
35. a13TemperatureKineticTheoGasLaw_rmsTransfer
36. _{What is the root-mean-square of 27, 4, and -39?}
37. a14HeatTransfer_specifHeatConduct
38. _{The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.98 kg is filled with 0.23 kg of water. How much heat does it take to raise both from 39.7 C to 88 C? }
39. a15Thermodynamics_heatEngine
40. _{
A 1241 heat cycle uses 2.8 moles of an ideal gas. The pressures and volumes are: P1= 1.4 kPa, P2= 2.8 kPa. The volumes are V1= 2.8m3 and V4= 5.1m3. How much work is done in in one cycle?}
41. a16OscillationsWaves_amplitudes
42. _{A 0.156 kg mass is on a spring that causes the frequency of oscillation to be 95 cycles per second. The maximum velocity is 50.6 m/s. What is the maximum force on the mass?}
43. a17PhysHearing_echoString
44. _{The temperature is -2 degrees Celsius, and you are standing 0.88 km from a cliff. What is the echo time?}
45. b_motionSimpleArithmetic
46. _{Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?}
47. b_velocityAcceleration
48. _{When a table cloth is quickly pulled out from under dishes, they hardly move. This is because}
49. b_waves_PC
50. _{These two pulses will collide and produce}
51. c07energy_lineIntegral
52. _{Integrate the line integral of, ${\displaystyle {\vec {F}}=9xy{\hat {x}}+9.5y^{3}{\hat {y}}}$, along the y axis from y = 5 to y = 14}
53. c16OscillationsWaves_calculus
54. _{If a particle's position is given by x(t) = 7sin(3t-π/6), what is the velocity?}