Question 1

The figure shows a graph of the position x as a function of time t for a system undergoing simple harmonic motion. Which one of the following graphs represents the acceleration of this system as a Function of time?

Accepted Answer

A)   graph a
B)   graph b
C)   graph c
D)   graph dE) B) and C)
F) A) and B)

Question 2

In 1851 Jean Bernard Leon Foucault demonstrated the rotation of the earth using a pendulum  11.0 m  long, which was set up in the Paris Observatory. How long would it have taken for Foucault's pendulum to make one complete swing back to its starting point if  g=9.81 m/s2g = 9.81 \mathrm {~m} / \mathrm { s } ^ { 2 }g=9.81 m/s2  at the observatory?

Accepted Answer

A)    5.63 s
B)    2.58 s
C)    2.12 s
D)    1.79 s
E)    6.65 s F) B) and E)
G) A) and E)

Question 3

The period of a simple pendulum that is 1.00 m long on another planet is 1.66 s. What is the acceleration due to gravity on this planet if the mass of the pendulum bob is 1.5 kg?

Accepted Answer

A)   
B)   
C)   
D)   E) B) and C)
F) A) and C)

Question 4

Suppose you want to set up a simple pendulum with a period of  2.50 s. How long should it be
(a) on Earth, at a location where $g = 9.80 \mathrm {~m} / \mathrm { s } 2 ?$
(b) on a planet where  g  is  5.00  times what it is on Earth?

Accepted Answer

(a) 1.55 m...

Question 5

A 0.39-kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant)  is  570 N/m. The block is pulled from its equilibrium position at  x=0.000 m to a displacement  x=+0.080 m and is released from rest. The block then executes simple harmonic motion along the horizontal  x -axis. When the position of the block is  x=0.057 m, its kinetic energy is closest to

Accepted Answer

A)    1.1 J
B)    0.95 J
C)    0.84 J
D)    1.0 J
E)    0.90 JF) A) and E)
G) C) and D)

Question 6

The position of a cart that is oscillating on a spring is given by the equation x = (12.3 cm)
cos[(1.26 s-1)t]. When t = 0.805 s, what are the (a) velocity and (b) acceleration of the cart?

Accepted Answer

(a) -13.2 cm/s
(b) ...

Question 7

If both the mass of a simple pendulum and its length are doubled, the period will

Accepted Answer

A)   be unchanged.
B)   increase by a factor of 
C)   increase by a factor of 4 .
D)   increase by a factor of 2 .
E)   increase by a factor of F) C) and D)
G) B) and D)

Question 8

An object attached to an ideal spring oscillates with an angular frequency of  2.81 rad/s. The object has a maximum displacement at  t=0.00 s of  0.232 m. If the force constant (spring constant)  is  29.8 N/m, what is the potential energy stored in the mass-spring system when  t=1.42 s?

Accepted Answer

A)    0.399 J
B)    0.256 J
C)    0.329 J
D)    0.350 JE) A) and B)
F) A) and C)

Question 9

A  3.42-kg stone hanging vertically from an ideal spring on the earth undergoes simple harmonic motion at a place where 
If the force constant (spring constant)  of the spring is  12 N/m, find the period of oscillation of this setup on a planet where

Accepted Answer

A)    4.36 s
B)    5.70 s
C)    3.35 s
D)    2.51 sE) None of the above
F) All of the above

Question 10

An object of mass  6.8 kg is attached to an ideal spring of force constant (spring constant)  1720 N/m . The object is set into simple harmonic motion, with an initial velocity of  and an initial displacement of  Calculate the maximum speed the object raches during its motion.

Accepted Answer

The answer of An object of mass  6.8 kg...

Question 11

If a pendulum makes 12 complete swings in 8.0 s, what are its (a) frequency and (b)
period?

Accepted Answer

(a)  1.5 H...

Question 12

A 3.7-kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant)  is  450 N/m. The block is pulled from its equilibrium position at  x=0.000 m to a position  x=+0.080 m and is released from rest. The block then executes simple harmonic motion along the horizontal  x -axis. The maximum elastic potential energy of the system is closest to

Accepted Answer

A)    1.8 J
B)    1.7 J
C)    1.4 J
D)    1.3 J
E)    1.6 JF) B) and E)
G) A) and B)

Question 13

An object undergoing simple harmonic motion has a maximum displacement of  6.2 m at  t=0.00 s. If the angular frequency of oscillation is  1.6 rad/s, what is the object's displacement when  t=3.5 s?

Accepted Answer

A)    3.7 m
B)    5.6 m
C)    3.1 m
D)    4.8 mE) All of the above
F) A) and B)

Question 14

Why does the intensity of waves from a small source decrease with the square of the distance from the source?

Accepted Answer

A)   The frequency of the waves decreases as they get farther from the source.
B)   The waves run out of energy as they travel.
C)   The medium through which the waves travel absorbs the energy of the waves.
D)   The waves slow down as they travel away from the source.
E)   The waves spread out as they travel.F) A) and B)
G) All of the above

Question 15

A  0.150-kg air track cart is attached to an ideal spring with a force constant (spring constant)  of  3.58 N/m and undergoes simple harmonic oscillations. What is the period of the oscillations?

Accepted Answer

A)    1.14 s
B)    1.29 s
C)    0.263 s
D)    0.527 s
E)    2.57 sF) None of the above
G) B) and D)

Question 16

When a guitar is tuned to adjust it pitch, what is it that is changed?

Accepted Answer

A)   The wavelength of the fundamental.
B)   The amplitude of the fundamental.
C)   The frequency of the fundamental.D) None of the above
E) All of the above

Question 17

What are the wavelength (in meters)  and frequency (in hertz)  of a wave whose displacement is given by the equation  y=0.5 sin (0.20 x+120 t)  , where  x  and  y  are in meters and  t  is in seconds?

Accepted Answer

A)    19 m, 120 Hz
B)    5.0 m, 10 Hz
C)    0.20 m,1202πHz0.20 \mathrm {~m} , 120 \sqrt { 2 \pi } \mathrm { Hz }0.20 m,1202πc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​Hz 
D)    10 m, 0.50 Hz
E)    31 m, 19 Hz F) A) and E)
G) All of the above

Question 18

A  0.25 kg  harmonic oscillator has a total mechanical energy of  4.1 J. If the oscillation amplitude is  20.0 cm, what is the oscillation frequency?

Accepted Answer

A)    1.4 Hz 
B)    4.6 Hz
C)    2.3 Hz
D)    3.2 HzE) None of the above
F) A) and B)

Question 19

On the Moon, the acceleration of gravity is g/6. If a pendulum has a period T on Earth, what will its period be on the Moon?

Accepted Answer

A)    T/3 
B)   
C)    6T 
D)    T/6 
E)   F) A) and D)
G) A) and E)

Question 20

A string of linear density  1.5 g/m is under a tension of  20 N. What should be its length if its fundamental resonance frequency is  220 Hz?

Accepted Answer

A)    0.96 m
B)    0.26 m
C)    1.1 m
D)    1.2 mE) A) and D)
F) All of the above

Exam 11: Oscillations and Waves

Why does the intensity of waves from a small source decrease with the square of the distance from the source?

Correct Answer
verified

Correct Answer
verified

On the Moon, the acceleration of gravity is g/6. If a pendulum has a period T on Earth, what will its period be on the Moon?

Correct Answer
verified

When a guitar is tuned to adjust it pitch, what is it that is changed?

Correct Answer
verified

A 3.42-kg stone hanging vertically from an ideal spring on the earth undergoes simple harmonic motion at a place where If the force constant (spring constant) of the spring is 12 N/m, find the period of oscillation of this setup on a planet where

Correct Answer
verified

Correct Answer
verified

An object undergoing simple harmonic motion has a maximum displacement of 6.2 m at t=0.00 s. If the angular frequency of oscillation is 1.6 rad/s, what is the object's displacement when t=3.5 s?

Correct Answer
verified

An object attached to an ideal spring oscillates with an angular frequency of 2.81 rad/s. The object has a maximum displacement at t=0.00 s of 0.232 m. If the force constant (spring constant) is 29.8 N/m, what is the potential energy stored in the mass-spring system when t=1.42 s?

Correct Answer
verified

What are the wavelength (in meters) and frequency (in hertz) of a wave whose displacement is given by the equation y=0.5 sin (0.20 x+120 t) , where x and y are in meters and t is in seconds?

Correct Answer
verified

The period of a simple pendulum that is 1.00 m long on another planet is 1.66 s. What is the acceleration due to gravity on this planet if the mass of the pendulum bob is 1.5 kg?

Correct Answer
verified

An object of mass 6.8 kg is attached to an ideal spring of force constant (spring constant) 1720 N/m . The object is set into simple harmonic motion, with an initial velocity of and an initial displacement of Calculate the maximum speed the object raches during its motion.

Correct Answer
verified

A string of linear density 1.5 g/m is under a tension of 20 N. What should be its length if its fundamental resonance frequency is 220 Hz?

Correct Answer
verified

The position of a cart that is oscillating on a spring is given by the equation x = (12.3 cm) cos[(1.26 s-1)t]. When t = 0.805 s, what are the (a) velocity and (b) acceleration of the cart?

Correct Answer
verified
(a) -13.2 cm/s
(b) ...
View Answer

A 0.25 kg harmonic oscillator has a total mechanical energy of 4.1 J. If the oscillation amplitude is 20.0 cm, what is the oscillation frequency?

Correct Answer
verified

A 0.150-kg air track cart is attached to an ideal spring with a force constant (spring constant) of 3.58 N/m and undergoes simple harmonic oscillations. What is the period of the oscillations?

Correct Answer
verified

The figure shows a graph of the position x as a function of time t for a system undergoing simple harmonic motion. Which one of the following graphs represents the acceleration of this system as a Function of time?

Correct Answer
verified

If both the mass of a simple pendulum and its length are doubled, the period will

Correct Answer
verified

Suppose you want to set up a simple pendulum with a period of 2.50 s. How long should it be (a) on Earth, at a location where $g = 9.80 \mathrm {~m} / \mathrm { s } 2 ?$ (b) on a planet where g is 5.00 times what it is on Earth?

Correct Answer
verified
(a) 1.55 m...
View Answer

Correct Answer
verified

If a pendulum makes 12 complete swings in 8.0 s, what are its (a) frequency and (b) period?

Correct Answer
verified
(a) 1.5 H...
View Answer

Exam 11: Oscillations and Waves

Why does the intensity of waves from a small source decrease with the square of the distance from the source?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

On the Moon, the acceleration of gravity is g/6. If a pendulum has a period T on Earth, what will its period be on the Moon?

Correct AnswerverifiedShow Answer

When a guitar is tuned to adjust it pitch, what is it that is changed?

Correct AnswerverifiedShow Answer

A 3.42-kg stone hanging vertically from an ideal spring on the earth undergoes simple harmonic motion at a place where If the force constant (spring constant) of the spring is 12 N/m, find the period of oscillation of this setup on a planet where

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

An object undergoing simple harmonic motion has a maximum displacement of 6.2 m at t=0.00 s. If the angular frequency of oscillation is 1.6 rad/s, what is the object's displacement when t=3.5 s?

Correct AnswerverifiedShow Answer

An object attached to an ideal spring oscillates with an angular frequency of 2.81 rad/s. The object has a maximum displacement at t=0.00 s of 0.232 m. If the force constant (spring constant) is 29.8 N/m, what is the potential energy stored in the mass-spring system when t=1.42 s?

Correct AnswerverifiedShow Answer

What are the wavelength (in meters) and frequency (in hertz) of a wave whose displacement is given by the equation y=0.5 sin (0.20 x+120 t) , where x and y are in meters and t is in seconds?

Correct AnswerverifiedShow Answer

The period of a simple pendulum that is 1.00 m long on another planet is 1.66 s. What is the acceleration due to gravity on this planet if the mass of the pendulum bob is 1.5 kg?

Correct AnswerverifiedShow Answer

An object of mass 6.8 kg is attached to an ideal spring of force constant (spring constant) 1720 N/m . The object is set into simple harmonic motion, with an initial velocity of and an initial displacement of Calculate the maximum speed the object raches during its motion.

Correct AnswerverifiedShow Answer

A string of linear density 1.5 g/m is under a tension of 20 N. What should be its length if its fundamental resonance frequency is 220 Hz?

Correct AnswerverifiedShow Answer

The position of a cart that is oscillating on a spring is given by the equation x = (12.3 cm) cos[(1.26 s-1)t]. When t = 0.805 s, what are the (a) velocity and (b) acceleration of the cart?

Correct Answerverified(a) -13.2 cm/s(b) ...View AnswerShow Answer

A 0.25 kg harmonic oscillator has a total mechanical energy of 4.1 J. If the oscillation amplitude is 20.0 cm, what is the oscillation frequency?

Correct AnswerverifiedShow Answer

A 0.150-kg air track cart is attached to an ideal spring with a force constant (spring constant) of 3.58 N/m and undergoes simple harmonic oscillations. What is the period of the oscillations?

Correct AnswerverifiedShow Answer

The figure shows a graph of the position x as a function of time t for a system undergoing simple harmonic motion. Which one of the following graphs represents the acceleration of this system as a Function of time?

Correct AnswerverifiedShow Answer

If both the mass of a simple pendulum and its length are doubled, the period will

Correct AnswerverifiedShow Answer

Suppose you want to set up a simple pendulum with a period of 2.50 s. How long should it be (a) on Earth, at a location where g=9.80 m/s2?g = 9.80 \mathrm {~m} / \mathrm { s } 2 ?g=9.80 m/s2? (b) on a planet where g is 5.00 times what it is on Earth?

Correct Answerverified(a) 1.55 m...View AnswerShow Answer

Correct AnswerverifiedShow Answer

If a pendulum makes 12 complete swings in 8.0 s, what are its (a) frequency and (b) period?

Correct Answerverified(a) 1.5 H...View AnswerShow Answer

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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(a) -13.2 cm/s
(b) ...
View Answer

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Suppose you want to set up a simple pendulum with a period of 2.50 s. How long should it be (a) on Earth, at a location where $g = 9.80 \mathrm {~m} / \mathrm { s } 2 ?$ (b) on a planet where g is 5.00 times what it is on Earth?

Correct Answer
verified
(a) 1.55 m...
View Answer

Correct Answer
verified

Correct Answer
verified
(a) 1.5 H...
View Answer