Question 1

The position of a simple harmonic oscillator is given by  where t is in seconds.What is the maximum velocity of this oscillator?

Accepted Answer

A)  0.17 m/s
B)  0.52 m/s
C)  0.67 m/s
D)  1.0 m/s
E)  2.0 m/sF) C) and D)
G) B) and E)

Question 2

A vertical block-spring system on earth has a period of 6.0 s.What is the period of this same system on the moon where the acceleration due to gravity is roughly 1/6 that of earth?

Accepted Answer

A)  1.0 s
B)  2.4 s
C)  6.0 s
D)  15 s
E)  36 sF) A) and D)
G) A) and C)

Question 3

Which one of the following statements is true concerning the motion of the block?

Accepted Answer

A)  Its acceleration is constant.
B)  The period of its motion depends on its amplitude.
C)  Its acceleration is greatest when the spring returns to the 5.0 cm position.
D)  Its velocity is greatest when the mass has reached its maximum displacement.
E)  Its acceleration is greatest when the mass has reached its maximum displacement.F) None of the above
G) A) and B)

Question 4

A 2.0-kg object is attached to a spring (k = 55.6 N/m)  that hangs vertically from the ceiling.The object is displaced 0.045 m vertically.When the object is released, the system undergoes simple harmonic motion.What is the magnitude of the maximum acceleration of the object?

Accepted Answer

A)  1.3 m/s2
B)  2.3 m/s2
C)  4.4 m/s2
D)  9.8 m/s2
E)  11 m/s2F) B) and E)
G) All of the above

Question 5

Complete the following statement: Young's modulus cannot be applied to

Accepted Answer

A)  a stretched wire.
B)  a compressed rod.
C)  a bending beam.
D)  a compressed liquid.
E)  a stretched rubber band.F) None of the above
G) B) and D)

Question 6

In the produce section of a supermarket, five pears are placed on a spring scale.The placement of the pears stretches the spring and causes the dial to move from zero to a reading of 2.0 kg.If the spring constant is 450 N/m, what is the displacement of the spring due to the weight of the pears?

Accepted Answer

A)  0.0044 m
B)  0.0088 m
C)  0.018 m
D)  0.044 m
E)  0.088 mF) All of the above
G) A) and E)

Question 7

What is the period of a pendulum consisting of a 6-kg object oscillating on a 4-m string?

Accepted Answer

A)  0.25 s
B)  0.50 s
C)  1.0 s
D)  2.0 s
E)  4.0 sF) A) and C)
G) B) and C)

Question 8

Complete the following sentence: Resonance occurs in harmonic motion when

Accepted Answer

A)  the system is overdamped.
B)  the system is critically damped.
C)  the energy in the system is a minimum.
D)  the driving frequency is the same as the natural frequency of the system.
E)  the energy in the system is proportional to the square of the motion's amplitude.F) A) and D)
G) None of the above

Question 9

Young's modulus of nylon is 3.7 × 109 N/m2.A force of 6.0 × 105 N is applied to a 1.5-m length of nylon of cross sectional area 0.25 m2.By what amount does the nylon stretch?

Accepted Answer

A)  3.1 × 10-2 m
B)  1.6 × 10-2 m
C)  3.9 × 10-3 m
D)  9.7 × 10-4 m
E)  1.2 × 10-5 mF) All of the above
G) B) and D)

Question 10

A certain spring compressed 0.20 m has 10 J of elastic potential energy.The spring is then cut into two halves and one of the halves is compressed by 0.20 m.How much potential energy is stored in the compressed half of the spring?

Accepted Answer

A)  5 J
B)  10 J
C)  14 J
D)  20 J
E)  40 JF) B) and D)
G) A) and C)

Question 11

A spring with constant k = 78 N/m is at the base of a frictionless, 30.0°-inclined plane.A 0.50-kg block is pressed against the spring, compressing it 0.20 m from its equilibrium position.The block is then released.If the block is not attached to the spring, how far up the incline will it travel before it stops?

Accepted Answer

A)  0.080 m
B)  0.16 m
C)  0.32 m
D)  0.64 m
E)  1.1 mF) A) and D)
G) A) and C)

Question 12

Melissa's favorite exercise equipment at the gym consists of various springs.In one exercise, she pulls a handle grip attached to the free end of a spring to 0.80 m from its unstrained position.The other end of the spring (spring constant = 45 N/m)  is held in place by the equipment frame.What is the magnitude of the force that Melissa is applying to the handle grip?

Accepted Answer

A)  29 N
B)  36 N
C)  42 N
D)  54 N
E)  66 NF) None of the above
G) C) and D)

Question 13

A ball hung from a vertical spring oscillates in simple harmonic motion with an angular frequency of 2.6 rad/s and an amplitude of 0.075 m.What is the maximum acceleration of the ball?

Accepted Answer

A)  0.13 m/s2
B)  0.20 m/s2
C)  0.51 m/s2
D)  2.6 m/s2
E)  35 m/s2F) C) and D)
G) B) and D)

Question 14

10-2
A 5.0 × 102-N object is hung from the end of a wire of cross-sectional area 0.010 cm2.The wire stretches from its original length of 200.00 cm to 200.50 cm.
-Determine the Young's modulus of the wire.

Accepted Answer

A)  1.0 × 1011 N/m2
B)  1.0 × 109 N/m2
C)  2.0 × 1011 N/m2
D)  2.0 × 109 N/m2
E)  5.0 × 1012 N/m2F) A) and E)
G) A) and B)

Question 15

The brick shown in the drawing is glued to the floor.A 3500-N force is applied to the top surface of the brick as shown.If the brick has a shear modulus of 5.4 × 109 N/m2, how far to the right does the top face move relative to the stationary bottom face? 2, how far to the right does the top face move relative to the stationary bottom face?   A) 5.8 × 10-6 m B) 2.6 × 10-6 m C) 1.1 × 10-6 m D) 6.5 × 10-7 m E) 3.4 × 10-7 m" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)  5.8 × 10-6 m
B)  2.6 × 10-6 m
C)  1.1 × 10-6 m
D)  6.5 × 10-7 m
E)  3.4 × 10-7 mF) All of the above
G) B) and E)

Question 16

The spring constant for the spring in a special cannon is 1800 N/m.In cocking the cannon, the spring is compressed 0.55 m.What is the initial speed of a 7.0-kg cannonball at rest on the free end of the spring when it is released?

Accepted Answer

A)  77 m/s
B)  140 m/s
C)  12 m/s
D)  8.8 m/s
E)  16 m/sF) A) and E)
G) A) and C)

Question 17

What are the SI units of the shear modulus?

Accepted Answer

A)  N/m2
B)  N/m
C)  N . m
D)  N/m3
E)  N . m2F) A) and E)
G) B) and C)

Question 18

A spring with a spring constant k = 1600 N/m is at rest on the bottom of an inclined plane.A 7.0-kg block slides down the plane and makes contact with the spring at point A as shown.After contact, the spring is compressed to point B, 0.20 m from point A, where the speed of the block is zero m/s.What was the speed of the block just before contact with the spring?

Accepted Answer

A)  3.2 m/s
B)  12 m/s
C)  2.4 m/s
D)  9.1 m/s
E)  4.2 m/sF) C) and E)
G) A) and B)

Question 19

Which one of the following statements concerning Hooke's law is false?

Accepted Answer

A)  Hooke's law relates stress and strain.
B)  Hooke's law is valid only for springs.
C)  Hooke's law can be verified experimentally.
D)  Hooke's law can be applied to a wide range of materials.
E)  Hooke's law is valid only within the elastic limit of a given material.F) A) and B)
G) C) and D)

Question 20

Complete the following statement: In order to calculate the "stress" on the box, in addition to the information given, one must also know

Accepted Answer

A)  the mass of the box.
B)  the bulk modulus of the material from which the box is made.
C)  the shear modulus of the material from which the box is made.
D)  the Young's modulus of the material from which the box is made.
E)  the bulk modulus of the liquid.F) A) and E)
G) All of the above

Exam 10: Simple Harmonic Motion and Elasticity

Correct Answer
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A ball hung from a vertical spring oscillates in simple harmonic motion with an angular frequency of 2.6 rad/s and an amplitude of 0.075 m.What is the maximum acceleration of the ball?

Correct Answer
verified

Complete the following statement: In order to calculate the "stress" on the box, in addition to the information given, one must also know

Correct Answer
verified

In the produce section of a supermarket, five pears are placed on a spring scale.The placement of the pears stretches the spring and causes the dial to move from zero to a reading of 2.0 kg.If the spring constant is 450 N/m, what is the displacement of the spring due to the weight of the pears?

Correct Answer
verified

Correct Answer
verified

Which one of the following statements concerning Hooke's law is false?

Correct Answer
verified

A 2.0-kg object is attached to a spring (k = 55.6 N/m) that hangs vertically from the ceiling.The object is displaced 0.045 m vertically.When the object is released, the system undergoes simple harmonic motion.What is the magnitude of the maximum acceleration of the object?

Correct Answer
verified

Complete the following sentence: Resonance occurs in harmonic motion when

Correct Answer
verified

Complete the following statement: Young's modulus cannot be applied to

Correct Answer
verified

Young's modulus of nylon is 3.7 × 10⁹ N/m².A force of 6.0 × 10⁵ N is applied to a 1.5-m length of nylon of cross sectional area 0.25 m².By what amount does the nylon stretch?

Correct Answer
verified

What is the period of a pendulum consisting of a 6-kg object oscillating on a 4-m string?

Correct Answer
verified

A vertical block-spring system on earth has a period of 6.0 s.What is the period of this same system on the moon where the acceleration due to gravity is roughly 1/6 that of earth?

Correct Answer
verified

10-2 A 5.0 × 10²-N object is hung from the end of a wire of cross-sectional area 0.010 cm².The wire stretches from its original length of 200.00 cm to 200.50 cm. -Determine the Young's modulus of the wire.

Correct Answer
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The position of a simple harmonic oscillator is given by where t is in seconds.What is the maximum velocity of this oscillator?

Correct Answer
verified

What are the SI units of the shear modulus?

Correct Answer
verified

Correct Answer
verified

A certain spring compressed 0.20 m has 10 J of elastic potential energy.The spring is then cut into two halves and one of the halves is compressed by 0.20 m.How much potential energy is stored in the compressed half of the spring?

Correct Answer
verified

The spring constant for the spring in a special cannon is 1800 N/m.In cocking the cannon, the spring is compressed 0.55 m.What is the initial speed of a 7.0-kg cannonball at rest on the free end of the spring when it is released?

Correct Answer
verified

Which one of the following statements is true concerning the motion of the block?

Correct Answer
verified

The brick shown in the drawing is glued to the floor.A 3500-N force is applied to the top surface of the brick as shown.If the brick has a shear modulus of 5.4 × 109 N/m², how far to the right does the top face move relative to the stationary bottom face?

Correct Answer
verified

Exam 10: Simple Harmonic Motion and Elasticity

Correct AnswerverifiedShow Answer

A ball hung from a vertical spring oscillates in simple harmonic motion with an angular frequency of 2.6 rad/s and an amplitude of 0.075 m.What is the maximum acceleration of the ball?

Correct AnswerverifiedShow Answer

Complete the following statement: In order to calculate the "stress" on the box, in addition to the information given, one must also know

Correct AnswerverifiedShow Answer

In the produce section of a supermarket, five pears are placed on a spring scale.The placement of the pears stretches the spring and causes the dial to move from zero to a reading of 2.0 kg.If the spring constant is 450 N/m, what is the displacement of the spring due to the weight of the pears?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Which one of the following statements concerning Hooke's law is false?

Correct AnswerverifiedShow Answer

A 2.0-kg object is attached to a spring (k = 55.6 N/m) that hangs vertically from the ceiling.The object is displaced 0.045 m vertically.When the object is released, the system undergoes simple harmonic motion.What is the magnitude of the maximum acceleration of the object?

Correct AnswerverifiedShow Answer

Complete the following sentence: Resonance occurs in harmonic motion when

Correct AnswerverifiedShow Answer

Complete the following statement: Young's modulus cannot be applied to

Correct AnswerverifiedShow Answer

Young's modulus of nylon is 3.7 × 109 N/m2.A force of 6.0 × 105 N is applied to a 1.5-m length of nylon of cross sectional area 0.25 m2.By what amount does the nylon stretch?

Correct AnswerverifiedShow Answer

What is the period of a pendulum consisting of a 6-kg object oscillating on a 4-m string?

Correct AnswerverifiedShow Answer

A vertical block-spring system on earth has a period of 6.0 s.What is the period of this same system on the moon where the acceleration due to gravity is roughly 1/6 that of earth?

Correct AnswerverifiedShow Answer

10-2 A 5.0 × 102-N object is hung from the end of a wire of cross-sectional area 0.010 cm2.The wire stretches from its original length of 200.00 cm to 200.50 cm. -Determine the Young's modulus of the wire.

Correct AnswerverifiedShow Answer

The position of a simple harmonic oscillator is given by where t is in seconds.What is the maximum velocity of this oscillator?

Correct AnswerverifiedShow Answer

What are the SI units of the shear modulus?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A certain spring compressed 0.20 m has 10 J of elastic potential energy.The spring is then cut into two halves and one of the halves is compressed by 0.20 m.How much potential energy is stored in the compressed half of the spring?

Correct AnswerverifiedShow Answer

The spring constant for the spring in a special cannon is 1800 N/m.In cocking the cannon, the spring is compressed 0.55 m.What is the initial speed of a 7.0-kg cannonball at rest on the free end of the spring when it is released?

Correct AnswerverifiedShow Answer

Which one of the following statements is true concerning the motion of the block?

Correct AnswerverifiedShow Answer

The brick shown in the drawing is glued to the floor.A 3500-N force is applied to the top surface of the brick as shown.If the brick has a shear modulus of 5.4 × 109 N/m2, how far to the right does the top face move relative to the stationary bottom face?

Correct AnswerverifiedShow 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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Young's modulus of nylon is 3.7 × 10⁹ N/m².A force of 6.0 × 10⁵ N is applied to a 1.5-m length of nylon of cross sectional area 0.25 m².By what amount does the nylon stretch?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

10-2 A 5.0 × 10²-N object is hung from the end of a wire of cross-sectional area 0.010 cm².The wire stretches from its original length of 200.00 cm to 200.50 cm. -Determine the Young's modulus of the wire.

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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The brick shown in the drawing is glued to the floor.A 3500-N force is applied to the top surface of the brick as shown.If the brick has a shear modulus of 5.4 × 109 N/m², how far to the right does the top face move relative to the stationary bottom face?

Correct Answer
verified