Question 1

The net force acting on an object is zero. You can therefore definitely conclude that the object is

Accepted Answer

A)  at rest. 
B)  moving in a straight line at constant speed. 
C)  moving in a circle at constant speed. 
D)  undergoing acceleration. 
E)  either at rest or moving in a straight line at constant speed. 
A)  at rest. 
B)  moving in a straight line at constant speed. 
C)  moving in a circle at constant speed. 
D)  undergoing acceleration. 
E)  either at rest or moving in a straight line at constant speed. E

Question 2

A horizontal force   is used to push an object of mass m up an inclined plane. The angle between the plane and the horizontal is $\theta$. The normal reaction force of the plane acting on the mass m is

Accepted Answer

A)  mg cos $\theta$ + F cos $\theta$ 
B)  mg cos $\theta$ 
C)  mg cos $\theta$ + F sin$\theta$ 
D)  mg cos $\theta$ - F cos $\theta$ 
E)  impossible to determine because the coefficient of friction is not given. 
A)  mg cos $\theta$ + F cos $\theta$ 
B)  mg cos $\theta$ 
C)  mg cos $\theta$ + F sin$\theta$ 
D)  mg cos $\theta$ - F cos $\theta$ 
E)  impossible to determine because the coefficient of friction is not given. C

Question 3

A particle is moving uniformly in a circle with radius 50 cm. The linear speed of the particle is 60 cm/s. The acceleration of the particle has a magnitude of

Accepted Answer

A)  zero 
B)  36 m/s2  
C)  1.8 $\times$ 105 cm/s2  
D)  72 cm/s2  
E)  3.6 m/s2  
A)  zero 
B)  36 m/s2  
C)  1.8 $\times$ 105 cm/s2  
D)  72 cm/s2  
E)  3.6 m/s2  D

Question 4

The SI units for the coefficient of friction are

Accepted Answer

A)  newtons per meter. 
B)  meters. 
C)  newtons. 
D)  newtons times meters. 
E)  None of these is correct; the coefficient of friction has no units. 
A)  newtons per meter. 
B)  meters. 
C)  newtons. 
D)  newtons times meters. 
E)  None of these is correct; the coefficient of friction has no units.

Question 5

When a particle moves in a circle with constant speed, its acceleration is

Accepted Answer

A)  constantly increasing. 
B)  constant in direction. 
C)  zero. 
D)  constant in magnitude. 
E)  constant in magnitude and direction. 
A)  constantly increasing. 
B)  constant in direction. 
C)  zero. 
D)  constant in magnitude. 
E)  constant in magnitude and direction.

Question 6

A professor likes to demonstrate centripetal force by swinging a bucket of water in the vertical direction. What is the minimum speed he must swing the bucket at the top of the circle if he is not to get drenched? (Assume that his arm is 1 m long.)

Accepted Answer

A)  1.1 m/s 
B)  2.1 m/s 
C)  3.1 m/s 
D)  4.1 m/s 
E)  5.1 m/s 
A)  1.1 m/s 
B)  2.1 m/s 
C)  3.1 m/s 
D)  4.1 m/s 
E)  5.1 m/s

Question 7

In drag racing, the driver deploys a parachute at the end of the   mile run. The parachute works well because

Accepted Answer

A)  the dragster does not have any brakes to save weight. 
B)  the drag force due to the parachute is large at high speeds. 
C)  there is no rolling friction at high speeds. 
D)  the driver has no time to apply the brakes. 
E)  the deployment of the parachute is part of the show. 
A)  the dragster does not have any brakes to save weight. 
B)  the drag force due to the parachute is large at high speeds. 
C)  there is no rolling friction at high speeds. 
D)  the driver has no time to apply the brakes. 
E)  the deployment of the parachute is part of the show.

Question 8

The figure shows a piece of sheet metal suspended in two positions by a string. From the way the metal hangs, you can see that the center of gravity is nearest point

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 9

An object with a mass of m = 12.0 g is falling through a resistive fluid in which g is constant. The retarding frictional force due to the fluid is F = bv, where F is the force in newtons, b is a constant, and v is the speed in meters per second. If F = 3.2 $\times$ 10-2 N when v = 16.0 m/s, the terminal speed of the object falling through the fluid is

Accepted Answer

A)  0.12 m/s 
B)  59 m/s 
C)  0.19 km/s 
D)  16.0 m/s 
E)  None of these is correct. 
A)  0.12 m/s 
B)  59 m/s 
C)  0.19 km/s 
D)  16.0 m/s 
E)  None of these is correct.

Question 10

A 2-kg block sits on an incline where the top part of the incline has a coefficient of kinetic friction ($\mu$k) of 0.70. The bottom section of the plane has $\mu$k = 0.95. The angle of inclination is 40 degrees. The block is released and travels 10 m along the initial part of the incline and then enters the lower section. Calculate how far the block travels along the second section before it is brought to a stop.

Accepted Answer

A)  2.7 m 
B)  21 m 
C)  23 m 
D)  13 m 
E)  260 m 
A)  2.7 m 
B)  21 m 
C)  23 m 
D)  13 m 
E)  260 m

Question 11

A car experiences both a centripetal and a tangential acceleration. For which of the following would this be true?

Accepted Answer

A)  It is going around a curve at a constant speed. 
B)  It is going around a curve and slowing down. 
C)  It is going along a straight road at a constant speed. 
D)  It is going along a straight road and increasing its speed. 
E)  It is going along a straight road and decreasing its speed. 
A)  It is going around a curve at a constant speed. 
B)  It is going around a curve and slowing down. 
C)  It is going along a straight road at a constant speed. 
D)  It is going along a straight road and increasing its speed. 
E)  It is going along a straight road and decreasing its speed.

Question 12

Two objects are sliding at the same speed across a wooden surface. The coefficient of kinetic friction between the first object and the surface is twice that between the second object and the surface. The distance traveled by the first object before it stops is S. The distance traveled by the second object is

Accepted Answer

A)  impossible to determine without knowing the masses involved. 
B)  2S 
C)  S/2 
D)  S 
E)  4S 
A)  impossible to determine without knowing the masses involved. 
B)  2S 
C)  S/2 
D)  S 
E)  4S

Question 13

Three particles having a total mass of 6 kg are subjected to three forces, as shown in the figure. The magnitude of one force is presented to furnish the scale factor for the others. What is the acceleration of the center of mass of the system?

Accepted Answer

A)  It is knowable only if the mass of each particle is given. 
B)  6.6 m/s2  
C)  zero 
D)  -2 m/s2   
E)  -2 m/s2   
A)  It is knowable only if the mass of each particle is given. 
B)  6.6 m/s2  
C)  zero 
D)  -2 m/s2   
E)  -2 m/s2

Question 14

An L-shaped piece, represented by the shaded area on the figure, is cut from a metal plate of uniform thickness. The point that corresponds to the center of mass of the L-shaped piece is

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 15

A block of mass M is sliding down a rough inclined surface that makes an angle $\theta$ with respect to the horizontal. If the coefficient of static friction is $\mu$s and kinetic friction $\mu$k, then the acceleration of the block down the incline is equal to:

Accepted Answer

A)  gsin $\theta$ - g $\mu$s $\times$ cos $\theta$ 
B)  gcos$\theta$ - g $\mu$k $\times$ cos $\theta$ 
C)  g $\mu$s $\times$ cos $\theta$ - gsin $\theta$ 
D)  gsin $\theta$ - g $\mu$k $\times$ cos $\theta$ 
E)  gsin $\theta$ - g $\mu$s $\times$ cos $\theta$ -  g $\mu$k $\times$ cos $\theta$ 
A)  gsin $\theta$ - g $\mu$s $\times$ cos $\theta$ 
B)  gcos$\theta$ - g $\mu$k $\times$ cos $\theta$ 
C)  g $\mu$s $\times$ cos $\theta$ - gsin $\theta$ 
D)  gsin $\theta$ - g $\mu$k $\times$ cos $\theta$ 
E)  gsin $\theta$ - g $\mu$s $\times$ cos $\theta$ -  g $\mu$k $\times$ cos $\theta$

Question 16

A block of mass m is at rest on an inclined plane that makes an angle of 30º with the horizontal, as shown in the figure. Which of the following statements about the force of static friction is true?

Accepted Answer

A)  fs > mg 
B)  fs > mg cos 30º 
C)  fs = mg cos 30º 
D)  fs = mg sin 30º 
E)  None of these statements is true. 
A)  fs > mg 
B)  fs > mg cos 30º 
C)  fs = mg cos 30º 
D)  fs = mg sin 30º 
E)  None of these statements is true.

Question 17

A mass M = 5.6 kg on a horizontal table is pulled by a horizontal string that passes over a frictionless pulley to a free-hanging mass m = 3.4 kg. The coefficient of friction between M and the table is 0.28. The acceleration of M is

Accepted Answer

A)  3.7 m/s2  
B)  2.0 m/s2  
C)  2.2 m/s2  
D)  0.20 m/s2  
E)  0.49 m/s2  
A)  3.7 m/s2  
B)  2.0 m/s2  
C)  2.2 m/s2  
D)  0.20 m/s2  
E)  0.49 m/s2

Question 18

The shaded area in the figure represents a uniformly thick sheet of metal. The center of mass of the sheet is closest to point

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 19

Use the figure below for the problem. A mass, mS1U1B11S1U1B0, attached to a spring is placed on a cart with mass mS1U1B12S1U1B0, which moves freely and without friction on a table. mS1U1B11S1U1B0 slides without friction on the cart and is ¼ the mass of mS1U1B12S1U1B0.  
-When m1 moves with a displacement of 1 cm in the +x direction, what is the displacement of m2?

Accepted Answer

A)  m2 does not move 
B)  m2 moves   cm in the +x direction 
C)  m2 moves 1 cm in the +x direction 
D)  m2 moves   cm in the -x direction 
E)  m2 moves 1 cm in the -x direction 
A)  m2 does not move 
B)  m2 moves   cm in the +x direction 
C)  m2 moves 1 cm in the +x direction 
D)  m2 moves   cm in the -x direction 
E)  m2 moves 1 cm in the -x direction

Question 20

Three smiley faces are situated along the x axis as follows: m1 = 5 kg at 3.0 m, m2 = 3 kg at 6.0 m and m3 = 2 kg at 8.0 m. Where is the center of mass situated?

Accepted Answer

A)  3.9 m 
B)  4.9 m 
C)  5.5 m 
D)  4.1 m 
E)  5.1 m 
A)  3.9 m 
B)  4.9 m 
C)  5.5 m 
D)  4.1 m 
E)  5.1 m

The net force acting on an object is zero. You can therefore definitely conclude that the object is

A particle is moving uniformly in a circle with radius 50 cm. The linear speed of the particle is 60 cm/s. The acceleration of the particle has a magnitude of

The SI units for the coefficient of friction are

When a particle moves in a circle with constant speed, its acceleration is

A professor likes to demonstrate centripetal force by swinging a bucket of water in the vertical direction. What is the minimum speed he must swing the bucket at the top of the circle if he is not to get drenched? (Assume that his arm is 1 m long.)

In drag racing, the driver deploys a parachute at the end of the mile run. The parachute works well because

The figure shows a piece of sheet metal suspended in two positions by a string. From the way the metal hangs, you can see that the center of gravity is nearest point

A car experiences both a centripetal and a tangential acceleration. For which of the following would this be true?

Three particles having a total mass of 6 kg are subjected to three forces, as shown in the figure. The magnitude of one force is presented to furnish the scale factor for the others. What is the acceleration of the center of mass of the system?

An L-shaped piece, represented by the shaded area on the figure, is cut from a metal plate of uniform thickness. The point that corresponds to the center of mass of the L-shaped piece is

A block of mass M is sliding down a rough inclined surface that makes an angle $\theta$ with respect to the horizontal. If the coefficient of static friction is $\mu$ _s and kinetic friction $\mu$ _k, then the acceleration of the block down the incline is equal to:

A block of mass m is at rest on an inclined plane that makes an angle of 30º with the horizontal, as shown in the figure. Which of the following statements about the force of static friction is true?

A mass M = 5.6 kg on a horizontal table is pulled by a horizontal string that passes over a frictionless pulley to a free-hanging mass m = 3.4 kg. The coefficient of friction between M and the table is 0.28. The acceleration of M is

The shaded area in the figure represents a uniformly thick sheet of metal. The center of mass of the sheet is closest to point

Three smiley faces are situated along the x axis as follows: m₁ = 5 kg at 3.0 m, m₂ = 3 kg at 6.0 m and m₃ = 2 kg at 8.0 m. Where is the center of mass situated?

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

Exam 5: Applications of Newtons Laws

The net force acting on an object is zero. You can therefore definitely conclude that the object is

A horizontal force is used to push an object of mass m up an inclined plane. The angle between the plane and the horizontal is θ\thetaθ . The normal reaction force of the plane acting on the mass m is

A particle is moving uniformly in a circle with radius 50 cm. The linear speed of the particle is 60 cm/s. The acceleration of the particle has a magnitude of

The SI units for the coefficient of friction are

When a particle moves in a circle with constant speed, its acceleration is

A professor likes to demonstrate centripetal force by swinging a bucket of water in the vertical direction. What is the minimum speed he must swing the bucket at the top of the circle if he is not to get drenched? (Assume that his arm is 1 m long.)

In drag racing, the driver deploys a parachute at the end of the mile run. The parachute works well because

The figure shows a piece of sheet metal suspended in two positions by a string. From the way the metal hangs, you can see that the center of gravity is nearest point

A car experiences both a centripetal and a tangential acceleration. For which of the following would this be true?

Three particles having a total mass of 6 kg are subjected to three forces, as shown in the figure. The magnitude of one force is presented to furnish the scale factor for the others. What is the acceleration of the center of mass of the system?

An L-shaped piece, represented by the shaded area on the figure, is cut from a metal plate of uniform thickness. The point that corresponds to the center of mass of the L-shaped piece is

A block of mass M is sliding down a rough inclined surface that makes an angle θ\thetaθ with respect to the horizontal. If the coefficient of static friction is μ\muμ s and kinetic friction μ\muμ k, then the acceleration of the block down the incline is equal to:

A block of mass m is at rest on an inclined plane that makes an angle of 30º with the horizontal, as shown in the figure. Which of the following statements about the force of static friction is true?

A mass M = 5.6 kg on a horizontal table is pulled by a horizontal string that passes over a frictionless pulley to a free-hanging mass m = 3.4 kg. The coefficient of friction between M and the table is 0.28. The acceleration of M is

The shaded area in the figure represents a uniformly thick sheet of metal. The center of mass of the sheet is closest to point

Three smiley faces are situated along the x axis as follows: m1 = 5 kg at 3.0 m, m2 = 3 kg at 6.0 m and m3 = 2 kg at 8.0 m. Where is the center of mass situated?

Systems of Measurement

Motion in One Dimension

Motion in Two and Three Dimensions

Newtons Laws

Work and Energy

Conservation of Energy

Systems of Particles and Conservation of Linear Momentum

Rotation

Conservation of Angular Momentum

Gravity

Static Equilibrium and Elasticity

Fluids

Oscillations

Wave Motion

Superposition and Standing Waves

Temperature and the Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

The Second Law of Thermodynamics

Thermal Properties and Processes

Filters

A block of mass M is sliding down a rough inclined surface that makes an angle $\theta$ with respect to the horizontal. If the coefficient of static friction is $\mu$ _s and kinetic friction $\mu$ _k, then the acceleration of the block down the incline is equal to:

Three smiley faces are situated along the x axis as follows: m₁ = 5 kg at 3.0 m, m₂ = 3 kg at 6.0 m and m₃ = 2 kg at 8.0 m. Where is the center of mass situated?