Question 1

If the frequency of a traveling wave train is increased by a factor of three in a medium where the speed is constant,which of the following is the result?

Accepted Answer

A) amplitude is one third as big 
B) amplitude is tripled 
C) wavelength is one third as big 
D) wavelength is tripled 
A) amplitude is one third as big 
B) amplitude is tripled 
C) wavelength is one third as big 
D) wavelength is tripled C

Question 2

A mass on a spring vibrates in simple harmonic motion at a frequency of 8.0 Hz and an amplitude of 2.0 cm.If a timer is started when its displacement is a maximum (hence x = 2.0 cm when t = 0),what is the speed of the mass when t = 3.0 s?

Accepted Answer

A) zero 
B) 100 m/s 
C) 3.0 m/s 
D) 2.0 m/s 
E) 50 m/s 
A) zero 
B) 100 m/s 
C) 3.0 m/s 
D) 2.0 m/s 
E) 50 m/s A

Question 3

A mass of 0.40 kg,attached to a spring with a spring constant of 40 N/m,is set into simple harmonic motion.What is the magnitude of the acceleration of the mass when at its maximum displacement of 0.25 m from the equilibrium position?

Accepted Answer

A) zero 
B) 13 m/s2 
C) 6.3 m/s2 
D) 25 m/s2 
E) 50 m/s2 
A) zero 
B) 13 m/s2 
C) 6.3 m/s2 
D) 25 m/s2 
E) 50 m/s2 D

Question 4

Two springs,each with spring constant k,are attached end to end in a series fashion.A second pair of identical springs are also attached in series fashion.Then the pair of series attached springs are attached in parallel to each other.What is the effective spring constant of the resulting combination of springs?

Accepted Answer

A) k/2 
B) 2k 
C) either k/4 or 4k 
D) k 
A) k/2 
B) 2k 
C) either k/4 or 4k 
D) k

Question 5

A mass on a spring vibrates in simple harmonic motion at a frequency of 4.26 Hz and an amplitude of 3.00 cm.If a timer is started when its displacement is a maximum (hence x = 3.00 cm when t = 0),what is the acceleration magnitude when t = 3.74 s?

Accepted Answer

A) zero 
B) 0.732 m/s2 
C) 39.2 m/s2 
D) 19.6 m/s2 
E) 10.5 m/s2 
A) zero 
B) 0.732 m/s2 
C) 39.2 m/s2 
D) 19.6 m/s2 
E) 10.5 m/s2

Question 6

If it takes 7 N to stretch a spring 8 cm and if the spring is then cut in half,what force does it take to stretch one of the halves 4 cm?​

Accepted Answer

A) 3.5 N 
B) 7 N 
C) 14 N 
D) 21 N 
E) ​28 N 
A) 3.5 N 
B) 7 N 
C) 14 N 
D) 21 N 
E) ​28 N

Question 7

Which one of the following quantities is at a maximum when an object in simple harmonic motion is at its maximum displacement?

Accepted Answer

A) speed 
B) acceleration 
C) kinetic energy 
D) frequency 
A) speed 
B) acceleration 
C) kinetic energy 
D) frequency

Question 8

A steel piano string is attached,under tension,at each end to secure posts.When gently struck,a faint note can be detected coming from the string.The string is then cooled by blowing cold air over it and then is struck again.How does the note now detected compare to the previous one.

Accepted Answer

A) It is the same since the posts don't move. 
B) It is at a higher frequency than the original one. 
C) It is at a lower frequency than the original one. 
D) More than one answer is correct. 
A) It is the same since the posts don't move. 
B) It is at a higher frequency than the original one. 
C) It is at a lower frequency than the original one. 
D) More than one answer is correct.

Question 9

A wave on a string has a wavelength of 0.90 m at a frequency of 600 Hz.If a new wave at a frequency of 300 Hz is established in this same string under the same tension,what is the new wavelength?

Accepted Answer

A) 2.7 m 
B) 1.8 m 
C) 0.45 m 
D) 0.30 m 
A) 2.7 m 
B) 1.8 m 
C) 0.45 m 
D) 0.30 m

Question 10

A pendulum on the Earth has a period T.The acceleration of due to gravity on Mars is less than that on the Earth,and the acceleration due to gravity on the Moon is even less.Where would the period of an identical pendulum be the least?

Accepted Answer

A) on the Earth 
B) on the Moon 
C) on Mars 
D) The period of a pendulum would be the same on the Earth,Moon,and Mars since the period depends on the pendulum's length which is the same for identical pendula. 
A) on the Earth 
B) on the Moon 
C) on Mars 
D) The period of a pendulum would be the same on the Earth,Moon,and Mars since the period depends on the pendulum's length which is the same for identical pendula.

Question 11

A mass-spring system on a horizontal frictionless surface is set in simple harmonic motion with amplitude A.The mass is then doubled and the system is again set into simple harmonic motion with the same amplitude.Which of the following is true about the total mechanical energy of the system due to doubling the mass?

Accepted Answer

A) It has doubled. 
B) It has quadrupled. 
C) It has halved. 
D) It has not changed. 
A) It has doubled. 
B) It has quadrupled. 
C) It has halved. 
D) It has not changed.

Question 12

If you quadruple the mass per unit length of a guitar string the wave speed in the string will change by what factor?

Accepted Answer

A)    
B)    
C)    
D) 4.00 
A)    
B)    
C)    
D) 4.00

Question 13

An object is attached to a spring and its frequency of oscillation is measured.Then another object is connected to the first object,and the resulting mass is four times the original value.By what factor is the frequency of oscillation changed?

Accepted Answer

A) 1/4 
B) 1/   
C) 1/16 
D) 4 
E) 16 
A) 1/4 
B) 1/   
C) 1/16 
D) 4 
E) 16

Question 14

The wave-related quantity algebraically equivalent to 1/f is

Accepted Answer

A) ω 
B) T 
C) A 
D) λ 
A) ω 
B) T 
C) A 
D) λ

Question 15

The position of a 0.76-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) 4.7E-3 N 
B) 2.9E-2 N 
C) 6.2E-3 N 
D) 2.4E-2 N 
E) ​2.4E-2 N 
A) 4.7E-3 N 
B) 2.9E-2 N 
C) 6.2E-3 N 
D) 2.4E-2 N 
E) ​2.4E-2 N

Question 16

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

Question 17

A string is strung horizontally with a fixed tension.A wave of frequency 60.0 Hz is sent along the string,and it has a wave speed of 58.4 m/s.Then a second wave,one of frequency 120 Hz,is sent along the string.What is the wave speed of the second wave?​

Accepted Answer

A) 29.2 m/s 
B) 58.4 m/s 
C) 117 m/s 
D) 87.6 m/s 
E) 234 m/s 
A) 29.2 m/s 
B) 58.4 m/s 
C) 117 m/s 
D) 87.6 m/s 
E) 234 m/s

Question 18

A car with bad shocks bounces up and down with a period of 1.51 s after hitting a bump.The car has a mass of 1 600 kg and is supported by four springs of force constant k.What is k for each spring?

Accepted Answer

A) 6.9E+3 N/m 
B) 1.7E+3 N/m 
C) 1.7E+3 N/m. 
D) 3.5E+3 N/m 
E) 8.2E+2 N/m 
A) 6.9E+3 N/m 
B) 1.7E+3 N/m 
C) 1.7E+3 N/m. 
D) 3.5E+3 N/m 
E) 8.2E+2 N/m

Question 19

Suppose a 0.45-kg mass on a spring-loaded gun that has been compressed 0.10 m has elastic potential energy of 1.50 J.How high above the spring's equilibrium point can the gun fire the mass if the gun is fired straight up?

Accepted Answer

A) 0.34 m 
B) 0.58 m 
C) 0.24 m 
D) 3.2 m 
E) 33 m 
A) 0.34 m 
B) 0.58 m 
C) 0.24 m 
D) 3.2 m 
E) 33 m

Question 20

The SI base units for the spring constant are which of the following?

Accepted Answer

A) kg⋅s2 
B) kg/m2 
C) kg/s2 
D) kg⋅m2 
A) kg⋅s2 
B) kg/m2 
C) kg/s2 
D) kg⋅m2

Exam 13: Vibrations and Waves

If the frequency of a traveling wave train is increased by a factor of three in a medium where the speed is constant,which of the following is the result?

A mass on a spring vibrates in simple harmonic motion at a frequency of 8.0 Hz and an amplitude of 2.0 cm.If a timer is started when its displacement is a maximum (hence x = 2.0 cm when t = 0),what is the speed of the mass when t = 3.0 s?

A mass of 0.40 kg,attached to a spring with a spring constant of 40 N/m,is set into simple harmonic motion.What is the magnitude of the acceleration of the mass when at its maximum displacement of 0.25 m from the equilibrium position?

A mass on a spring vibrates in simple harmonic motion at a frequency of 4.26 Hz and an amplitude of 3.00 cm.If a timer is started when its displacement is a maximum (hence x = 3.00 cm when t = 0),what is the acceleration magnitude when t = 3.74 s?

If it takes 7 N to stretch a spring 8 cm and if the spring is then cut in half,what force does it take to stretch one of the halves 4 cm?​

Which one of the following quantities is at a maximum when an object in simple harmonic motion is at its maximum displacement?

A steel piano string is attached,under tension,at each end to secure posts.When gently struck,a faint note can be detected coming from the string.The string is then cooled by blowing cold air over it and then is struck again.How does the note now detected compare to the previous one.

A wave on a string has a wavelength of 0.90 m at a frequency of 600 Hz.If a new wave at a frequency of 300 Hz is established in this same string under the same tension,what is the new wavelength?

A pendulum on the Earth has a period T.The acceleration of due to gravity on Mars is less than that on the Earth,and the acceleration due to gravity on the Moon is even less.Where would the period of an identical pendulum be the least?

If you quadruple the mass per unit length of a guitar string the wave speed in the string will change by what factor?

An object is attached to a spring and its frequency of oscillation is measured.Then another object is connected to the first object,and the resulting mass is four times the original value.By what factor is the frequency of oscillation changed?

The wave-related quantity algebraically equivalent to 1/f is

The position of a 0.76-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?​

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?

A string is strung horizontally with a fixed tension.A wave of frequency 60.0 Hz is sent along the string,and it has a wave speed of 58.4 m/s.Then a second wave,one of frequency 120 Hz,is sent along the string.What is the wave speed of the second wave?​

A car with bad shocks bounces up and down with a period of 1.51 s after hitting a bump.The car has a mass of 1 600 kg and is supported by four springs of force constant k.What is k for each spring?

Suppose a 0.45-kg mass on a spring-loaded gun that has been compressed 0.10 m has elastic potential energy of 1.50 J.How high above the spring's equilibrium point can the gun fire the mass if the gun is fired straight up?

The SI base units for the spring constant are which of the following?

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If it takes 7 N to stretch a spring 8 cm and if the spring is then cut in half,what force does it take to stretch one of the halves 4 cm?

The position of a 0.76-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 string is strung horizontally with a fixed tension.A wave of frequency 60.0 Hz is sent along the string,and it has a wave speed of 58.4 m/s.Then a second wave,one of frequency 120 Hz,is sent along the string.What is the wave speed of the second wave?