Question 1

An object is oscillating on a spring with a period of 4.60 s. At time t = 0.00 s the object has zero speed and is at x = 8.30 cm. What is the acceleration of the object at t = 2.50 s?

Accepted Answer

A)   1.33 cm/s2
B)   0.784 cm/s2
C)   11.5 cm/s2
D)   14.9 cm/s2
E)   0.00 cm/s2

Question 2

An object is attached to a vertical spring and bobs up and down between points A and B. Where is the object located when its elastic potential energy is a minimum?

Accepted Answer

A)   at either A or B
B)   midway between A and B
C)   one-third of the way between A and B
D)   one-fourth of the way between A and B
E)   at none of the above points

Question 3

Two simple pendulums, A and B, are each 3.0 m long, and the period of pendulum A is T. Pendulum A is twice as heavy as pendulum B. What is the period of pendulum B?

Accepted Answer

A)   T/  2\sqrt { 2 }2c-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'/>​ 
B)   T
C)   T  2\sqrt { 2 }2c-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'/>​ 
D)   2T
E)   T/2  B

Question 4

An astronaut has landed on an asteroid and conducts an experiment to determine the acceleration of gravity on that asteroid. He uses a simple pendulum that has a period of oscillation of 2.00 s on Earth and finds that on the asteroid the period is 11.3 s. What is the acceleration of gravity on that asteroid?

Accepted Answer

A)   0.307 m/s2
B)   1.66 m/s2
C)   1.74 m/s2
D)   5.51 m/s2
E)   0.0544 m/s2

Question 5

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 2.
C)   increase by a factor of 4.
D)   increase by a factor of  2\sqrt { 2 }2c-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'/>​  .
E)   increase by a factor of 1/  2\sqrt { 2 }2c-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'/>​  .

Question 6

A 0.16-kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant)  is 360 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. When the position is x = -0.037 m, what is the acceleration of the block?

Accepted Answer

A)   83 m/s2
B)   43 m/s2
C)   64 m/s2
D)   270 m/s2
E)   370 m/s2

Question 7

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)   2.57 s
B)   0.527 s
C)   0.263 s
D)   1.14 s
E)   1.29 s

Question 8

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 ...

Question 9

An object of mass m = 8.0 kg is attached to an ideal spring and allowed to hang in the earth's gravitational field. The spring stretches  2.2 cm2.2 \mathrm {~cm}2.2 cm  before it reaches its equilibrium position. If it were now allowed to oscillate by this spring, what would be its frequency?

Accepted Answer

A)   3.4 Hz
B)   0.28 x 10-3 Hz
C)   0.52 Hz
D)   1.6 Hz  A

Question 10

If we double the frequency of a system undergoing simple harmonic motion, which of the following statements about that system are true? (There could be more than one correct choice.)

Accepted Answer

A)   The period is doubled.
B)   The angular frequency is doubled.
C)   The amplitude is doubled.
D)   The period is reduced to one-half of what it was.
E)   The angular frequency is reduced to one-half of what it was.

Question 11

A pendulum of length L is suspended from the ceiling of an elevator. When the elevator is at rest the period of the pendulum is T. How does the period of the pendulum change when the elevator moves upward with constant velocity?

Accepted Answer

A)   The period does not change.
B)   The period increases.
C)   The period decreases.
D)   The period becomes zero.
E)   The period increases if the upward acceleration is more than g/2 but decreases if the upward acceleration is less than g/2.

Question 12

Grandfather clocks are designed so they can be adjusted by moving the weight at the bottom of the pendulum up or down. Suppose you have a grandfather clock at home that runs fast. Which of the following adjustments of the weight would make it more accurate? (There could be more than one correct choice.)

Accepted Answer

A)   Raise the weight.
B)   Lower the weight.
C)   Add more mass to the weight.
D)   Remove some mass from the weight.
E)   Decrease the amplitude of swing by a small amount.

Question 13

A simple pendulum takes 2.00 s to make one compete swing. If we now triple the length, how long will it take for one complete swing?

Accepted Answer

A)   6.00 s
B)   3.46 s
C)   2.00 s
D)   1.15 s
E)   0.667 s

Question 14

A 51.8-kg bungee jumper jumps off a bridge and undergoes simple harmonic motion. If the period of oscillation is 11.2 s, what is the spring constant (force constant)  of the bungee cord?

Accepted Answer

A)   16.3 N/m
B)   19.6 N/m
C)   26.1 N/m

Question 15

A simple pendulum has a period T on Earth. If it were used on Planet X, where the acceleration due to gravity is 3 times what it is on Earth, what would its period be?

Accepted Answer

A)   3T
B)    3\sqrt { 3 }3c-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'/>​  T
C)   T
D)   T/  3\sqrt { 3 }3c-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'/>​ 
E)   T/3

Question 16

A 0.250-kg stone is attached to an ideal spring and undergoes simple harmonic oscillations with a period of 0.640 s. What is the force constant (spring constant)  of the spring?

Accepted Answer

A)   2.45 N/m
B)   12.1 N/m
C)   24.1 N/m
D)   0.102 N/m
E)   0.610 N/m

Question 17

The quartz crystal in a digital watch has a frequency of 32.8 kHz. What is its period of oscillation?

Accepted Answer

A)   30.5 µs
B)   15.3 µs
C)   95.8 µs
D)   0.191 ms
E)   9.71 µs A

Question 18

A package is oscillating on a spring scale with a period of 4.60 s. At time t = 0.00 s the package has zero speed and is at x = 8.30 cm. At what time after t = 0.00 s will the package first be at x = 4.15 cm?

Accepted Answer

A)   0.575 s
B)   0.767 s
C)   1.15 s
D)   1.30 s
E)   1.53 s

Question 19

A 1.15-kg beaker (including its contents) is placed on a vertical spring scale. When the system is sent into vertical vibrations, it obeys the equation y = (2.3 cm)cos(17.4 s-1 t). What is the force constant (spring constant) of the spring scale, assuming it to be ideal?

Accepted Answer

Question 20

If the amplitude of the motion of a simple harmonic oscillator is doubled, by what factor does the maximum speed of the oscillator change?

Accepted Answer

A)   2
B)   4
C)   It does not change.
D)   1/2
E)   1/4

Exam 14: Oscillations

An object is oscillating on a spring with a period of 4.60 s. At time t = 0.00 s the object has zero speed and is at x = 8.30 cm. What is the acceleration of the object at t = 2.50 s?

Correct Answer
verified

An object is attached to a vertical spring and bobs up and down between points A and B. Where is the object located when its elastic potential energy is a minimum?

Correct Answer
verified

Two simple pendulums, A and B, are each 3.0 m long, and the period of pendulum A is T. Pendulum A is twice as heavy as pendulum B. What is the period of pendulum B?

Correct Answer
verified
B

Correct Answer
verified

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

Correct Answer
verified

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 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 ...
View Answer

An object of mass m = 8.0 kg is attached to an ideal spring and allowed to hang in the earth's gravitational field. The spring stretches $2.2 \mathrm {~cm}$ before it reaches its equilibrium position. If it were now allowed to oscillate by this spring, what would be its frequency?

Correct Answer
verified
A

If we double the frequency of a system undergoing simple harmonic motion, which of the following statements about that system are true? (There could be more than one correct choice.)

Correct Answer
verified

A pendulum of length L is suspended from the ceiling of an elevator. When the elevator is at rest the period of the pendulum is T. How does the period of the pendulum change when the elevator moves upward with constant velocity?

Correct Answer
verified

Correct Answer
verified

A simple pendulum takes 2.00 s to make one compete swing. If we now triple the length, how long will it take for one complete swing?

Correct Answer
verified

A 51.8-kg bungee jumper jumps off a bridge and undergoes simple harmonic motion. If the period of oscillation is 11.2 s, what is the spring constant (force constant) of the bungee cord?

Correct Answer
verified

A simple pendulum has a period T on Earth. If it were used on Planet X, where the acceleration due to gravity is 3 times what it is on Earth, what would its period be?

Correct Answer
verified

A 0.250-kg stone is attached to an ideal spring and undergoes simple harmonic oscillations with a period of 0.640 s. What is the force constant (spring constant) of the spring?

Correct Answer
verified

The quartz crystal in a digital watch has a frequency of 32.8 kHz. What is its period of oscillation?

Correct Answer
verified
A

A package is oscillating on a spring scale with a period of 4.60 s. At time t = 0.00 s the package has zero speed and is at x = 8.30 cm. At what time after t = 0.00 s will the package first be at x = 4.15 cm?

Correct Answer
verified

A 1.15-kg beaker (including its contents) is placed on a vertical spring scale. When the system is sent into vertical vibrations, it obeys the equation y = (2.3 cm)cos(17.4 s^-1 t). What is the force constant (spring constant) of the spring scale, assuming it to be ideal?

Correct Answer
verified

If the amplitude of the motion of a simple harmonic oscillator is doubled, by what factor does the maximum speed of the oscillator change?

Correct Answer
verified

Exam 14: Oscillations

An object is oscillating on a spring with a period of 4.60 s. At time t = 0.00 s the object has zero speed and is at x = 8.30 cm. What is the acceleration of the object at t = 2.50 s?

Correct AnswerverifiedShow Answer

An object is attached to a vertical spring and bobs up and down between points A and B. Where is the object located when its elastic potential energy is a minimum?

Correct AnswerverifiedShow Answer

Two simple pendulums, A and B, are each 3.0 m long, and the period of pendulum A is T. Pendulum A is twice as heavy as pendulum B. What is the period of pendulum B?

Correct AnswerverifiedB

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

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 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 ...View AnswerShow Answer

An object of mass m = 8.0 kg is attached to an ideal spring and allowed to hang in the earth's gravitational field. The spring stretches 2.2 cm2.2 \mathrm {~cm}2.2 cm before it reaches its equilibrium position. If it were now allowed to oscillate by this spring, what would be its frequency?

Correct AnswerverifiedA

If we double the frequency of a system undergoing simple harmonic motion, which of the following statements about that system are true? (There could be more than one correct choice.)

Correct AnswerverifiedShow Answer

A pendulum of length L is suspended from the ceiling of an elevator. When the elevator is at rest the period of the pendulum is T. How does the period of the pendulum change when the elevator moves upward with constant velocity?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A simple pendulum takes 2.00 s to make one compete swing. If we now triple the length, how long will it take for one complete swing?

Correct AnswerverifiedShow Answer

A 51.8-kg bungee jumper jumps off a bridge and undergoes simple harmonic motion. If the period of oscillation is 11.2 s, what is the spring constant (force constant) of the bungee cord?

Correct AnswerverifiedShow Answer

A simple pendulum has a period T on Earth. If it were used on Planet X, where the acceleration due to gravity is 3 times what it is on Earth, what would its period be?

Correct AnswerverifiedShow Answer

A 0.250-kg stone is attached to an ideal spring and undergoes simple harmonic oscillations with a period of 0.640 s. What is the force constant (spring constant) of the spring?

Correct AnswerverifiedShow Answer

The quartz crystal in a digital watch has a frequency of 32.8 kHz. What is its period of oscillation?

Correct AnswerverifiedA

A package is oscillating on a spring scale with a period of 4.60 s. At time t = 0.00 s the package has zero speed and is at x = 8.30 cm. At what time after t = 0.00 s will the package first be at x = 4.15 cm?

Correct AnswerverifiedShow Answer

A 1.15-kg beaker (including its contents) is placed on a vertical spring scale. When the system is sent into vertical vibrations, it obeys the equation y = (2.3 cm)cos(17.4 s-1 t). What is the force constant (spring constant) of the spring scale, assuming it to be ideal?

Correct AnswerverifiedShow Answer

If the amplitude of the motion of a simple harmonic oscillator is doubled, by what factor does the maximum speed of the oscillator change?

Correct AnswerverifiedShow Answer

Correct Answer
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Correct Answer
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Correct Answer
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B

Correct Answer
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Correct Answer
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Correct Answer
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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 ...
View Answer

An object of mass m = 8.0 kg is attached to an ideal spring and allowed to hang in the earth's gravitational field. The spring stretches $2.2 \mathrm {~cm}$ before it reaches its equilibrium position. If it were now allowed to oscillate by this spring, what would be its frequency?

Correct Answer
verified
A

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

Correct Answer
verified

A 1.15-kg beaker (including its contents) is placed on a vertical spring scale. When the system is sent into vertical vibrations, it obeys the equation y = (2.3 cm)cos(17.4 s^-1 t). What is the force constant (spring constant) of the spring scale, assuming it to be ideal?

Correct Answer
verified

Correct Answer
verified