Question 1

An object moving in simple harmonic motion has an amplitude of 0.05 m and a maximum acceleration of 40 m/s2.What is the frequency of the system?
​

Accepted Answer

A)  14.1 Hz 
B)  177.7 Hz 
C)  4.5 Hz 
D)  11.3 Hz 
E)  ​2 Hz 
A)  14.1 Hz 
B)  177.7 Hz 
C)  4.5 Hz 
D)  11.3 Hz 
E)  ​2 Hz

Question 2

If a wave pulse is reflected from a free boundary,which of the following choices best describes what happens to the reflected pulse?

Accepted Answer

A)  becomes inverted 
B)  remains upright 
C)  halved in amplitude 
D)  doubled in amplitude 
A)  becomes inverted 
B)  remains upright 
C)  halved in amplitude 
D)  doubled in amplitude

Question 3

Double both the tension in a guitar string and its mass per unit length will result in changing the wave speed in the string by what factor?
​

Accepted Answer

A)  0.71 
B)  1.00 (i.e. ,no change) 
C)  1.41 
D)  2.00 
E)  ​2.83 
A)  0.71 
B)  1.00 (i.e. ,no change) 
C)  1.41 
D)  2.00 
E)  ​2.83

Question 4

A tiny spring,with a spring constant of 1.3 N/m,will be stretched to what displacement by a 0.005-N force?
​

Accepted Answer

A)  3.8 mm 
B)  7.7 mm 
C)  11.5 mm 
D)  6.5 mm 
E)  ​3.3 mm 
A)  3.8 mm 
B)  7.7 mm 
C)  11.5 mm 
D)  6.5 mm 
E)  ​3.3 mm

Question 5

A mass of 4.4 kg,resting on a horizontal frictionless surface,is attached on the right to a horizontal spring with spring constant 26 N/m and on the left to a horizontal spring with spring constant 58 N/m.If this system is moved from equilibrium,what is the effective spring constant?
​

Accepted Answer

A)  -32 N/m 
B)  32 N/m 
C)  84 N/m 
D)  -84 N/m 
E)  ​16 N/m 
A)  -32 N/m 
B)  32 N/m 
C)  84 N/m 
D)  -84 N/m 
E)  ​16 N/m

Question 6

The position of a 0.72-kg mass undergoing simple harmonic motion is given by x = (0.160 m)cos (πt/16).What is the maximum net force on the mass as it oscillates?
​

Accepted Answer

A)  4.4 × 10−3 N 
B)  27.8 × 10−3 N 
C)  6.2 × 10−3 N 
D)  22.6 N 
E)  ​2.3 × 10−3 N 
A)  4.4 × 10−3 N 
B)  27.8 × 10−3 N 
C)  6.2 × 10−3 N 
D)  22.6 N 
E)  ​2.3 × 10−3 N

Question 7

A large spring requires a force of 190 N to compress it only 0.010 m.What is the spring constant of the spring?
​

Accepted Answer

A)  19 N/m 
B)  19,000 N/m 
C)  1.9 N/m 
D)  188 N/m 
E)  ​9,500 N/m 
A)  19 N/m 
B)  19,000 N/m 
C)  1.9 N/m 
D)  188 N/m 
E)  ​9,500 N/m

Question 8

A traveling wave train has wavelength 0.4 m,speed 34 m/s.Find the wave frequency.
​

Accepted Answer

A)  0.012 Hz 
B)  42.5 Hz 
C)  85 Hz 
D)  21.25 Hz 
E)  ​53.759 Hz 
A)  0.012 Hz 
B)  42.5 Hz 
C)  85 Hz 
D)  21.25 Hz 
E)  ​53.759 Hz

Question 9

The kinetic energy of the bob on a simple pendulum swinging in simple harmonic motion has its maximum value when the displacement from equilibrium is at what point in its swing?

Accepted Answer

A)  zero displacement 
B)  1/4 the amplitude 
C)  1/2 the amplitude 
D)  equal the amplitude 
A)  zero displacement 
B)  1/4 the amplitude 
C)  1/2 the amplitude 
D)  equal the amplitude

Question 10

Waves propagate at 6.8 m/s along a stretched string.The end of the string is vibrated up and down once every 2.5 s.What is the wavelength of the waves that travel along the string?
​

Accepted Answer

A)  5 m 
B)  17 m 
C)  2.7 m 
D)  1.9 m 
E)  9.6 m 
A)  5 m 
B)  17 m 
C)  2.7 m 
D)  1.9 m 
E)  9.6 m

Question 11

As a gust of wind blows across a field of grain,a wave can be seen to move across the field as the tops of the plants sway back and forth.This wave is a:

Accepted Answer

A)  transverse wave. 
B)  longitudinal wave. 
C)  polarized wave. 
D)  interference of waves. 
A)  transverse wave. 
B)  longitudinal wave. 
C)  polarized wave. 
D)  interference of waves.

Question 12

If it takes 3 N to stretch a spring 6 cm and if the spring is then cut in half,what force does it take to stretch one of the halves 3 cm?
​

Accepted Answer

A)  1.5 N 
B)  3 N 
C)  6 N 
D)  9 N 
E)  ​12 N 
A)  1.5 N 
B)  3 N 
C)  6 N 
D)  9 N 
E)  ​12 N

Question 13

A musical tone,sounded on a piano,has a frequency of 480 Hz and a wavelength in air of 0.800 m.What is the wave speed?
​

Accepted Answer

A)  96 m/s 
B)  416 m/s 
C)  384 m/s 
D)  104 m/s 
E)  ​307.2 m/s 
A)  96 m/s 
B)  416 m/s 
C)  384 m/s 
D)  104 m/s 
E)  ​307.2 m/s

Question 14

Suppose there is an object for which F = +kx.What will happen if the object is moved away from equilibrium (x = 0)and released?

Accepted Answer

A)  It will return to the equilibrium position. 
B)  It will move further away with constant velocity. 
C)  It will move further away with constant acceleration. 
D)  It will move further away with increasing acceleration. 
A)  It will return to the equilibrium position. 
B)  It will move further away with constant velocity. 
C)  It will move further away with constant acceleration. 
D)  It will move further away with increasing acceleration.

Question 15

Suppose a 0.7-kg mass on a spring that has been compressed 0.1 m has elastic potential energy of 1.5 J.How much further must the spring be compressed to triple the elastic potential energy?
​

Accepted Answer

A)  0.17 m 
B)  0.27 m 
C)  0.3 m 
D)  0.07 m 
E)  0.2 m 
A)  0.17 m 
B)  0.27 m 
C)  0.3 m 
D)  0.07 m 
E)  0.2 m

Question 16

The wavelength of a traveling wave can be calculated if one knows the:

Accepted Answer

A)  frequency. 
B)  speed and amplitude. 
C)  amplitude and frequency. 
D)  frequency and speed. 
A)  frequency. 
B)  speed and amplitude. 
C)  amplitude and frequency. 
D)  frequency and speed.

Question 17

Quinary the mass per unit length of a guitar string will result in changing the wave speed in the string by what factor?
​

Accepted Answer

A)  0.45 
B)  1.00 (i.e. ,no change) 
C)  2.24 
D)  5.00 
E)  4.47 
A)  0.45 
B)  1.00 (i.e. ,no change) 
C)  2.24 
D)  5.00 
E)  4.47

Question 18

Doubling the displacement from equilibrium of an object in simple harmonic motion will bring about a change in the magnitude of the object's acceleration by what factor?
​

Accepted Answer

A)  0.5 
B)  1.0 
C)  2.0 
D)  4 
E)  ​0.25 
A)  0.5 
B)  1.0 
C)  2.0 
D)  4 
E)  ​0.25

Question 19

By what factor must one change the weight suspended vertically from a spring coil in order to five times its period of simple harmonic motion?
​

Accepted Answer

A)  1/25 
B)  0.2 
C)  5.0 
D)  25.0 
E)  ​1.0 
A)  1/25 
B)  0.2 
C)  5.0 
D)  25.0 
E)  ​1.0

Question 20

If one could transport a simple pendulum of constant length from the Earth's surface to the Moon's,where the acceleration due to gravity is one-sixth (1/6)that on the Earth,by what factor would the pendulum frequency be changed?

Accepted Answer

A)  about 6.0 
B)  about 2.5 
C)  about 0.41 
D)  about 0.17 
A)  about 6.0 
B)  about 2.5 
C)  about 0.41 
D)  about 0.17

Exam 13: Vibrations and Waves

An object moving in simple harmonic motion has an amplitude of 0.05 m and a maximum acceleration of 40 m/s2.What is the frequency of the system? ​

If a wave pulse is reflected from a free boundary,which of the following choices best describes what happens to the reflected pulse?

Double both the tension in a guitar string and its mass per unit length will result in changing the wave speed in the string by what factor? ​

A tiny spring,with a spring constant of 1.3 N/m,will be stretched to what displacement by a 0.005-N force? ​

A mass of 4.4 kg,resting on a horizontal frictionless surface,is attached on the right to a horizontal spring with spring constant 26 N/m and on the left to a horizontal spring with spring constant 58 N/m.If this system is moved from equilibrium,what is the effective spring constant? ​

The position of a 0.72-kg mass undergoing simple harmonic motion is given by x = (0.160 m)cos (πt/16).What is the maximum net force on the mass as it oscillates? ​

A large spring requires a force of 190 N to compress it only 0.010 m.What is the spring constant of the spring? ​

A traveling wave train has wavelength 0.4 m,speed 34 m/s.Find the wave frequency. ​

The kinetic energy of the bob on a simple pendulum swinging in simple harmonic motion has its maximum value when the displacement from equilibrium is at what point in its swing?

Waves propagate at 6.8 m/s along a stretched string.The end of the string is vibrated up and down once every 2.5 s.What is the wavelength of the waves that travel along the string? ​

As a gust of wind blows across a field of grain,a wave can be seen to move across the field as the tops of the plants sway back and forth.This wave is a:

If it takes 3 N to stretch a spring 6 cm and if the spring is then cut in half,what force does it take to stretch one of the halves 3 cm? ​

A musical tone,sounded on a piano,has a frequency of 480 Hz and a wavelength in air of 0.800 m.What is the wave speed? ​

Suppose there is an object for which F = +kx.What will happen if the object is moved away from equilibrium (x = 0)and released?

Suppose a 0.7-kg mass on a spring that has been compressed 0.1 m has elastic potential energy of 1.5 J.How much further must the spring be compressed to triple the elastic potential energy? ​

The wavelength of a traveling wave can be calculated if one knows the:

Quinary the mass per unit length of a guitar string will result in changing the wave speed in the string by what factor? ​

Doubling the displacement from equilibrium of an object in simple harmonic motion will bring about a change in the magnitude of the object's acceleration by what factor? ​

By what factor must one change the weight suspended vertically from a spring coil in order to five times its period of simple harmonic motion? ​

If one could transport a simple pendulum of constant length from the Earth's surface to the Moon's,where the acceleration due to gravity is one-sixth (1/6)that on the Earth,by what factor would the pendulum frequency be changed?

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

An object moving in simple harmonic motion has an amplitude of 0.05 m and a maximum acceleration of 40 m/s².What is the frequency of the system?

Double both the tension in a guitar string and its mass per unit length will result in changing the wave speed in the string by what factor?

A tiny spring,with a spring constant of 1.3 N/m,will be stretched to what displacement by a 0.005-N force?

A mass of 4.4 kg,resting on a horizontal frictionless surface,is attached on the right to a horizontal spring with spring constant 26 N/m and on the left to a horizontal spring with spring constant 58 N/m.If this system is moved from equilibrium,what is the effective spring constant?

The position of a 0.72-kg mass undergoing simple harmonic motion is given by x = (0.160 m)cos (πt/16).What is the maximum net force on the mass as it oscillates?

A large spring requires a force of 190 N to compress it only 0.010 m.What is the spring constant of the spring?

A traveling wave train has wavelength 0.4 m,speed 34 m/s.Find the wave frequency.

Waves propagate at 6.8 m/s along a stretched string.The end of the string is vibrated up and down once every 2.5 s.What is the wavelength of the waves that travel along the string?

If it takes 3 N to stretch a spring 6 cm and if the spring is then cut in half,what force does it take to stretch one of the halves 3 cm?

A musical tone,sounded on a piano,has a frequency of 480 Hz and a wavelength in air of 0.800 m.What is the wave speed?

Suppose a 0.7-kg mass on a spring that has been compressed 0.1 m has elastic potential energy of 1.5 J.How much further must the spring be compressed to triple the elastic potential energy?

Quinary the mass per unit length of a guitar string will result in changing the wave speed in the string by what factor?

Doubling the displacement from equilibrium of an object in simple harmonic motion will bring about a change in the magnitude of the object's acceleration by what factor?

By what factor must one change the weight suspended vertically from a spring coil in order to five times its period of simple harmonic motion?