Question 1

The position of a 0.71-kg mass undergoing simple harmonic motion is given by x = (0.160 m)cos (πt/16).What is its position at t = 6.8 s?
​

Accepted Answer

A)  -0.037 m 
B)  0.063 m 
C)  6.339 m 
D)  0.037 m 
E)  ​0.619 m 
A)  -0.037 m 
B)  0.063 m 
C)  6.339 m 
D)  0.037 m 
E)  ​0.619 m

Question 2

A simple pendulum of length 1.68 m has a mass of 100 g attached.It is drawn back 35.5° and then released.What is the maximum speed of the mass?

Accepted Answer

A)  1.35 m/s 
B)  3.99 m/s 
C)  2.87 m/s 
D)  1.91 m/s 
E)  ​0.18 m/s 
A)  1.35 m/s 
B)  3.99 m/s 
C)  2.87 m/s 
D)  1.91 m/s 
E)  ​0.18 m/s

Question 3

The position of a 0.67-kg mass undergoing simple harmonic motion is given by x = (0.160 m)cos (πt/15).What is its period of oscillation?
​

Accepted Answer

A)  100 s 
B)  30 s 
C)  15 s 
D)  7.5 s 
E)  3.75 s 
A)  100 s 
B)  30 s 
C)  15 s 
D)  7.5 s 
E)  3.75 s

Question 4

A 0.36-kg object is oscillating on a spring with a spring constant of k = 18 N/m.What is the potential energy of the system when the object displacement is 0.041 m,exactly half the maximum amplitude?
​

Accepted Answer

A)  zero 
B)  0.03 0 J 
C)  0.015 J 
D)  0.369 J 
E)  ​9 J 
A)  zero 
B)  0.03 0 J 
C)  0.015 J 
D)  0.369 J 
E)  ​9 J

Question 5

Two water waves meet at the same point,one having a displacement above equilibrium of 30 cm and the other having a displacement above equilibrium of 90 cm.At this moment,what is the resulting displacement above equilibrium?

Accepted Answer

A)  120 cm 
B)  75 cm. 
C)  60 cm 
D)  Information about the amplitudes needs to be given to find an answer. 
E)  75 cm 
A)  120 cm 
B)  75 cm. 
C)  60 cm 
D)  Information about the amplitudes needs to be given to find an answer. 
E)  75 cm

Question 6

Tripling the weight suspended vertically from a coil spring will result in a change in the displacement of the spring's lower end by what factor?
​

Accepted Answer

A)  0.33 
B)  1.0 
C)  3.0 
D)  9.0 
E)  ​0.11 
A)  0.33 
B)  1.0 
C)  3.0 
D)  9.0 
E)  ​0.11

Question 7

A 0.36-kg block rests on a frictionless level surface and is attached to a horizontally aligned spring with a spring constant of 40 N/m.The block is initially displaced 6 cm from the equilibrium point and then released to set up a simple harmonic motion.A frictional force of 0.3 N exists between the block and surface.What is the speed of the block when it passes through the equilibrium point after being released from the 6-cm displacement point?
​

Accepted Answer

A)  0.55 m/s 
B)  0.39 m/s 
C)  0.77 m/s 
D)  0.3 m/s 
E)  2.19 m/s 
A)  0.55 m/s 
B)  0.39 m/s 
C)  0.77 m/s 
D)  0.3 m/s 
E)  2.19 m/s

Question 8

Quadruple the mass of the bob on a simple pendulum will cause a change in the frequency of the pendulum swing by what factor?
​

Accepted Answer

A)  0.25 
B)  1.0 
C)  16 
D)  4 
E)  ​0.06 
A)  0.25 
B)  1.0 
C)  16 
D)  4 
E)  ​0.06

Question 9

Three identical springs each have the same spring constant k.If these three springs are attached end to end forming a spring three times the length of one of the original springs,what will be the spring constant of the combination?

Accepted Answer

A)  k 
B)  3 k 
C)  k/3 
D)  1.73 k 
A)  k 
B)  3 k 
C)  k/3 
D)  1.73 k

Question 10

Consider the curve f(x)= A cos(2πx/λ).The wavelength of the wave will be:

Accepted Answer

A)  the distance 0 to A. 
B)  twice the distance 0 to A. 
C)  the distance x2 to x3. 
D)  twice the distance x2 to x3. 
A)  the distance 0 to A. 
B)  twice the distance 0 to A. 
C)  the distance x2 to x3. 
D)  twice the distance x2 to x3.

Question 11

A 0.25-kg object is attached to a spring with spring constant k = 10 N/m and moves with simple harmonic motion over a horizontal frictionless surface.At the instant that it is displaced from equilibrium by −0.051 m,what is its acceleration?
​

Accepted Answer

A)  1,275 m/s2 
B)  −127.5 m/s2 
C)  0.1 m/s2 
D)  2 m/s2 
E)  ​0.5 m/s2 
A)  1,275 m/s2 
B)  −127.5 m/s2 
C)  0.1 m/s2 
D)  2 m/s2 
E)  ​0.5 m/s2

Question 12

A simple pendulum has a period of 2.3 s.What is the pendulum length? (g = 9.8 m/s2)
​

Accepted Answer

A)  5.25 m 
B)  4.13 m 
C)  1.31 m 
D)  0.76 m 
E)  ​0.19 m 
A)  5.25 m 
B)  4.13 m 
C)  1.31 m 
D)  0.76 m 
E)  ​0.19 m

Question 13

If a radio wave has speed 3.17 × 108 m/s and frequency 94.8 MHz,what is its wavelength?
​

Accepted Answer

A)  1.67 m 
B)  2.31 m 
C)  4.4 m 
D)  3.34 m 
E)  ​6.62 m 
A)  1.67 m 
B)  2.31 m 
C)  4.4 m 
D)  3.34 m 
E)  ​6.62 m

Question 14

If a long spring with spring constant k is cut into 4 equal lengths,what is the spring constant of each of the 4 shorter springs?
​

Accepted Answer

A)  It is still k. 
B)  It is k/4. 
C)  It is 4k. 
D)  It is k/16. 
E)  ​It is k + 4. 
A)  It is still k. 
B)  It is k/4. 
C)  It is 4k. 
D)  It is k/16. 
E)  ​It is k + 4.

Question 15

A 0.25-kg mass is oscillating on a spring over a horizontal frictionless surface.When it is at a displacement of 2.8 cm for equilibrium it has a kinetic energy of 1.4 J and a spring potential energy of 2.3 J.What is the maximum speed of the mass during its oscillation?
​

Accepted Answer

A)  3.8 m/s 
B)  0.2 m/s 
C)  5.4 m/s 
D)  4.7 m/s 
E)  ​3.4 m/s 
A)  3.8 m/s 
B)  0.2 m/s 
C)  5.4 m/s 
D)  4.7 m/s 
E)  ​3.4 m/s

Question 16

An ore car of mass 4,700 kg rolls downhill on tracks from a mine.At the end of the tracks,11.1 m lower in elevation,is a spring with k = 410,000 N/m.How much is the spring compressed in stopping the ore car? Ignore friction.
​

Accepted Answer

A)  1.12 m 
B)  0.79 m 
C)  1.58 m 
D)  0.5 m 
E)  ​0.47 m 
A)  1.12 m 
B)  0.79 m 
C)  1.58 m 
D)  0.5 m 
E)  ​0.47 m

Question 17

A long string is pulled so that the tension in it increases by a factor of four.If the change in length is negligible,by what factor does the wave speed change?
​

Accepted Answer

A)  4.0 
B)  2 
C)  0.5 
D)  0.25 
E)  0.71 
A)  4.0 
B)  2 
C)  0.5 
D)  0.25 
E)  0.71

Question 18

Two identical springs,each with spring constant k,are attached in parallel to a mass,which is then set into simple harmonic motion.What would be the spring constant of a single spring which would result in the same frequency of oscillation as the parallel springs?

Accepted Answer

A)  k 
B)  2k 
C)  k/2 
D) 
  
A)  k 
B)  2k 
C)  k/2 
D)

Question 19

The oxygen molecule (O2)may be regarded as two masses connected by a spring.In vibrational motion,each oxygen atom alternately approaches,then moves away from the center of mass of the system.If each oxygen atom of mass m = 2.67 × 10−26 kg has a vibrational energy of 1.6 × 10−21 J and the effective spring constant is 100 N/m,then what is the amplitude of oscillation of each oxygen atom?
​

Accepted Answer

A)  3.2 × 10−11 m 
B)  1.6 × 10−11 m 
C)  1.1 × 10−11 m 
D)  5.7 × 10−12 m 
E)  ​4 × 10−12 m 
A)  3.2 × 10−11 m 
B)  1.6 × 10−11 m 
C)  1.1 × 10−11 m 
D)  5.7 × 10−12 m 
E)  ​4 × 10−12 m

Question 20

A 2-m long piano string of mass 10 g is under a tension of 348 N.Find the speed with which a wave travels on this string.
​

Accepted Answer

A)  528 m/s 
B)  264 m/s 
C)  132 m/s 
D)  373 m/s 
E)  ​83 m/s 
A)  528 m/s 
B)  264 m/s 
C)  132 m/s 
D)  373 m/s 
E)  ​83 m/s

Exam 13: Vibrations and Waves

The position of a 0.71-kg mass undergoing simple harmonic motion is given by x = (0.160 m)cos (πt/16).What is its position at t = 6.8 s? ​

A simple pendulum of length 1.68 m has a mass of 100 g attached.It is drawn back 35.5° and then released.What is the maximum speed of the mass?

The position of a 0.67-kg mass undergoing simple harmonic motion is given by x = (0.160 m)cos (πt/15).What is its period of oscillation? ​

A 0.36-kg object is oscillating on a spring with a spring constant of k = 18 N/m.What is the potential energy of the system when the object displacement is 0.041 m,exactly half the maximum amplitude? ​

Two water waves meet at the same point,one having a displacement above equilibrium of 30 cm and the other having a displacement above equilibrium of 90 cm.At this moment,what is the resulting displacement above equilibrium?

Tripling the weight suspended vertically from a coil spring will result in a change in the displacement of the spring's lower end by what factor? ​

Quadruple the mass of the bob on a simple pendulum will cause a change in the frequency of the pendulum swing by what factor? ​

Three identical springs each have the same spring constant k.If these three springs are attached end to end forming a spring three times the length of one of the original springs,what will be the spring constant of the combination?

Consider the curve f(x)= A cos(2πx/λ).The wavelength of the wave will be:

A 0.25-kg object is attached to a spring with spring constant k = 10 N/m and moves with simple harmonic motion over a horizontal frictionless surface.At the instant that it is displaced from equilibrium by −0.051 m,what is its acceleration? ​

A simple pendulum has a period of 2.3 s.What is the pendulum length? (g = 9.8 m/s2) ​

If a radio wave has speed 3.17 × 108 m/s and frequency 94.8 MHz,what is its wavelength? ​

If a long spring with spring constant k is cut into 4 equal lengths,what is the spring constant of each of the 4 shorter springs? ​

A 0.25-kg mass is oscillating on a spring over a horizontal frictionless surface.When it is at a displacement of 2.8 cm for equilibrium it has a kinetic energy of 1.4 J and a spring potential energy of 2.3 J.What is the maximum speed of the mass during its oscillation? ​

An ore car of mass 4,700 kg rolls downhill on tracks from a mine.At the end of the tracks,11.1 m lower in elevation,is a spring with k = 410,000 N/m.How much is the spring compressed in stopping the ore car? Ignore friction. ​

A long string is pulled so that the tension in it increases by a factor of four.If the change in length is negligible,by what factor does the wave speed change? ​

Two identical springs,each with spring constant k,are attached in parallel to a mass,which is then set into simple harmonic motion.What would be the spring constant of a single spring which would result in the same frequency of oscillation as the parallel springs?

A 2-m long piano string of mass 10 g is under a tension of 348 N.Find the speed with which a wave travels on this string. ​

Introduction

Introduction: Part A

Motion in One Dimension

Motion in One Dimension: Part A

Vectors and Two-Dimensional Motion

Vectors and Two-Dimensional Motion: Part A

The Laws of Motion

The Laws of Motion: Part A

Energy

Energy: Part A

Momentum and Collisions

Momentum and Collisions: Part A

Rotational Motion and the Law of Gravity

Rotational Motion and the Law of Gravity: Part A

Rotational Equilibrium and Rotational Dynamics

Rotational Equilibrium and Rotational Dynamics: Part A

Solids and Fluids

Solids and Fluids: Part A

Thermal Physics

Thermal Physics: Part A

Energy in Thermal Processes Heat and Internal Energy

Energy in Thermal Processes Heat and Internal Energy: Part A

The Laws of Thermodynamics Work in Thermodynamic Processes

The Laws of Thermodynamics Work in Thermodynamic Processes: Part A

Vibrations and Waves: Part A

Sound

Sound: Part A

Electric Forces and Electric Fields

Electric Forces and Electric Fields: Part A

Electrical Energy and Capacitance

Electrical Energy and Capacitance: Part A

Current and Resistance Electric Current

Current and Resistance Electric Current: Part A

Direct-Current Circuits Sources of EMF

Direct-Current Circuits Sources of EMF: Part A

Magnetism Magnets

Magnetism Magnets: Part A

Induced Voltages and Inductance

Induced Voltages and Inductance: Part A

Alternating-Current Circuits and Electromagnetic Waves

Alternating-Current Circuits and Electromagnetic Waves: Part A

Reflection and Refraction of Light

Reflection and Refraction of Light: Part A

Mirrors and Lenses

Mirrors and Lenses: Part A

Wave Optics

Wave Optics: Part A

Optical Instruments

Optical Instruments: Part A

Relativity

Relativity: Part A

Quantum Physics Blackbody Radiation and Plancks Hypothesis

Quantum Physics Blackbody Radiation and Plancks Hypothesis: Part A

Atomic Physics

Atomic Physics: Part A

Nuclear Physics

Nuclear Physics: Part A

Nuclear Energy and Elementary Particles

Nuclear Energy and Elementary Particles: Part A

Particle Collisions, Mediating Photons, and Quark Structures: Exploring the Fundamentals of Physics

Filters

The position of a 0.71-kg mass undergoing simple harmonic motion is given by x = (0.160 m)cos (πt/16).What is its position at t = 6.8 s?

The position of a 0.67-kg mass undergoing simple harmonic motion is given by x = (0.160 m)cos (πt/15).What is its period of oscillation?

A 0.36-kg object is oscillating on a spring with a spring constant of k = 18 N/m.What is the potential energy of the system when the object displacement is 0.041 m,exactly half the maximum amplitude?

Tripling the weight suspended vertically from a coil spring will result in a change in the displacement of the spring's lower end by what factor?

Quadruple the mass of the bob on a simple pendulum will cause a change in the frequency of the pendulum swing by what factor?

A 0.25-kg object is attached to a spring with spring constant k = 10 N/m and moves with simple harmonic motion over a horizontal frictionless surface.At the instant that it is displaced from equilibrium by −0.051 m,what is its acceleration?

A simple pendulum has a period of 2.3 s.What is the pendulum length? (g = 9.8 m/s²)

If a radio wave has speed 3.17 × 10⁸ m/s and frequency 94.8 MHz,what is its wavelength?

If a long spring with spring constant k is cut into 4 equal lengths,what is the spring constant of each of the 4 shorter springs?

A 0.25-kg mass is oscillating on a spring over a horizontal frictionless surface.When it is at a displacement of 2.8 cm for equilibrium it has a kinetic energy of 1.4 J and a spring potential energy of 2.3 J.What is the maximum speed of the mass during its oscillation?

An ore car of mass 4,700 kg rolls downhill on tracks from a mine.At the end of the tracks,11.1 m lower in elevation,is a spring with k = 410,000 N/m.How much is the spring compressed in stopping the ore car? Ignore friction.

A long string is pulled so that the tension in it increases by a factor of four.If the change in length is negligible,by what factor does the wave speed change?

A 2-m long piano string of mass 10 g is under a tension of 348 N.Find the speed with which a wave travels on this string.