Question 1

10-2
A 5.0 × 10S1U1P12S1S1P0-N object is hung from the end of a wire of cross-sectional area 0.010 cmS1U1P12S1S1P0.The wire stretches from its original length of 200.00 cm to 200.50 cm.
-What is the stress on the wire?

Accepted Answer

A) 5.0 × 102 N/m2 
B) 1.0 × 106 N/m2 
C) 1.0 × 108 N/m2 
D) 5.0 × 106 N/m2 
E) 5.0 × 108 N/m2

Question 2

10-2
A 5.0 × 10S1U1P12S1S1P0-N object is hung from the end of a wire of cross-sectional area 0.010 cmS1U1P12S1S1P0.The wire stretches from its original length of 200.00 cm to 200.50 cm.
-What is the elongation strain on the wire?

Accepted Answer

A) 1.0 × 102 
B) 1.0 × 10-2 
C) 5.0 × 102 
D) 2.5 × 10-3 
E) 4.0 × 102

Question 3

When a force of 19 N is applied to a spring, it elongates 0.085 m.Determine the period of oscillation of a 4.0-kg object suspended from this spring.

Accepted Answer

A) 0.8 s 
B) 1.2 s 
C) 3.1 s 
D) 4.1 s 
E) 6.3 s

Question 4

Which one of the following terms is used to describe a system in which the degree of damping is just enough to stop the system from oscillating?

Accepted Answer

A) critically damped 
B) underdamped 
C) slightly damped 
D) overdamped 
E) resonance

Question 5

A ping-pong ball weighs 0.025 N.The ball is placed inside a cup that sits on top of a vertical spring.If the spring is compressed 0.055 m and released, the maximum height above the compressed position that the ball reaches is 2.84 m.Neglect air resistance and determine the spring constant.

Accepted Answer

A) 47 N/m 
B) 24 N/m 
C) 11 N/m 
D) 5.2 N/m 
E) 2.6 N/m

Question 6

A pendulum is transported from sea-level, where the acceleration due to gravity g is 9.80 m/s2, to the bottom of Death Valley.At this location, the period of the pendulum is decreased by 3.00%.What is the value of g in Death Valley?

Accepted Answer

A) 9.22 m/s2 
B) 9.51 m/s2 
C) 9.80 m/s2 
D) 10.1 m/s2 
E) 10.4 m/s2

Question 7

A 10-kg box is at rest at the end of an unstretched spring with constant k = 4000 N/m.The mass is struck with a hammer giving it a velocity of 6.0 m/s to the right across a frictionless surface.What is the amplitude of the resulting oscillation of this system?

Accepted Answer

A) 0.3 m 
B) 0.4 m 
C) 0.5 m 
D) 0.6 m 
E) 2 m

Question 8

In a certain clock, a pendulum of length L1 has a period T1 = 0.95 s.The length of the pendulum is adjusted to a new value L2 such that T2 = 1.0 s.What is the ratio L2/L1?

Accepted Answer

A) 0.90 
B) 0.95 
C) 1.0 
D) 1.1 
E) 1.3

Question 9

A block is suspended from the ceiling by a long, thin strip of tungsten metal.The strip behaves as a spring.To produce a 0.25 m horizontal deflection of the block, a force of 6.5 N is required.Calculate the spring constant for the tungsten strip.

Accepted Answer

A) 0.038 N/m 
B) 1.2 N/m 
C) 1.6 N/m 
D) 13 N/m 
E) 26 N/m

Question 10

10-3
A plastic box has an initial volume of 3.50 mS1U1P13S1S1P0.It is then submerged below the surface of a liquid and its volume decreases to 3.48 mS1U1P13S1S1P0.
-What is the volume strain on the box?

Accepted Answer

A) 0.0020 
B) 0.0057 
C) 0.0084 
D) 0.018 
E) 0.022

Question 11

A simple pendulum on earth has a period of 6.0 s.What is the approximate period of this pendulum 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 s

Question 12

What is the total mechanical energy of the system at any instant?

Accepted Answer

A) 0.25 J 
B) 0.49 J 
C) 0.98 J 
D) 4.4 J 
E) 9.8 J

Question 13

The maximum compressional stress that a bone can withstand is 1.6 × 108 N/m2 before it breaks.A thighbone (femur), which is the largest and longest bone in the human body, has a cross sectional area of 7.7 × 10-4 m2.What is the maximum compressional force that can be applied to the thighbone?

Accepted Answer

A) 2.1 × 1011 N 
B) 1.2 × 105 N 
C) 4.8 × 1012 N 
D) 3.0 × 103 N 
E) This cannot be determined since Young's modulus is not given.

Question 14

10-4
When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.040 m to 0.045 m.The same block is attached to the same spring and placed on a horizontal, frictionless surface as shown.The block is then pulled so that the spring stretches to a total length of 0.15 m.The block is released at time t = 0 s and undergoes simple harmonic motion. 
-What is the frequency of the motion?

Accepted Answer

A) 0.50 Hz 
B) 1.0 Hz 
C) 5.0 Hz 
D) 7.0 Hz 
E) 44 Hz

Question 15

A 1.0-kg block oscillates with a frequency of 10 Hz at the end of a certain spring.The spring is then cut into two halves.The 1.0-kg block is then made to oscillate at the end of one of the halves.What is the frequency of oscillation of the block?

Accepted Answer

A) 5 Hz 
B) 10 Hz 
C) 14 Hz 
D) 20 Hz 
E) 40 Hz

Question 16

A 0.750-kg object hanging from a vertical spring is observed to oscillate with a period of 1.50 s.When the 0.750-kg object is removed and replaced by a 1.50-kg object, what will be the period of oscillation?

Accepted Answer

A) 1.55 s 
B) 2.58 s 
C) 2.12 s 
D) 3.38 s 
E) 4.49 s

Question 17

A simple harmonic oscillator with a period of 2.0 s is subject to damping so that it loses one percent of its amplitude per cycle.About how much energy does this oscillator lose per cycle?

Accepted Answer

A) 0.5 % 
B) 1.0 % 
C) 2.0 % 
D) 3.0 % 
E) 4.0 %

Question 18

Which one of the following expressions gives the displacement of the block as a function of time? Let x be in cm and t in seconds.

Accepted Answer

A) x = 15 cos(14 $\pi$t) 
B) x = 15 sin(14 $\pi$t) 
C) x = 7 cos(15 $\pi$t) 
D) x = 14 sin(15 $\pi$t) 
E) x = 44 cos(14 $\pi$t)

Question 19

A simple pendulum consists of a ball of mass m suspended from the ceiling using a string of length L.The ball is displaced from its equilibrium position by a small angle $\theta$.What is the magnitude of the restoring force that moves the ball toward its equilibrium position and produces simple harmonic motion?

Accepted Answer

A) kx 
B) mg 
C) mg(cos $\theta$) 
D) mg(sin$\theta$) 
E) mgL(sin $\theta$)

Question 20

10-1
A relaxed spring protrudes from an opening 0.0500 meters as shown in Figure A.
A 1.00-kg block is found to just force the spring completely into the opening as shown in Figure B. 
-Determine the spring constant k.

Accepted Answer

A) 20.0 N/m 
B) 196 N/m 
C) 392 N/m 
D) 3920 N/m 
E) 7840 N/m

Exam 10: Simple Harmonic Motion and Elasticity

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. -What is the stress on the wire?

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. -What is the elongation strain on the wire?

When a force of 19 N is applied to a spring, it elongates 0.085 m.Determine the period of oscillation of a 4.0-kg object suspended from this spring.

Which one of the following terms is used to describe a system in which the degree of damping is just enough to stop the system from oscillating?

A ping-pong ball weighs 0.025 N.The ball is placed inside a cup that sits on top of a vertical spring.If the spring is compressed 0.055 m and released, the maximum height above the compressed position that the ball reaches is 2.84 m.Neglect air resistance and determine the spring constant.

A pendulum is transported from sea-level, where the acceleration due to gravity g is 9.80 m/s², to the bottom of Death Valley.At this location, the period of the pendulum is decreased by 3.00%.What is the value of g in Death Valley?

A 10-kg box is at rest at the end of an unstretched spring with constant k = 4000 N/m.The mass is struck with a hammer giving it a velocity of 6.0 m/s to the right across a frictionless surface.What is the amplitude of the resulting oscillation of this system?

In a certain clock, a pendulum of length L₁ has a period T₁ = 0.95 s.The length of the pendulum is adjusted to a new value L₂ such that T₂ = 1.0 s.What is the ratio L₂/L₁?

A block is suspended from the ceiling by a long, thin strip of tungsten metal.The strip behaves as a spring.To produce a 0.25 m horizontal deflection of the block, a force of 6.5 N is required.Calculate the spring constant for the tungsten strip.

10-3 A plastic box has an initial volume of 3.50 m³.It is then submerged below the surface of a liquid and its volume decreases to 3.48 m³. -What is the volume strain on the box?

A simple pendulum on earth has a period of 6.0 s.What is the approximate period of this pendulum on the moon where the acceleration due to gravity is roughly 1/6 that of earth?

What is the total mechanical energy of the system at any instant?

A 1.0-kg block oscillates with a frequency of 10 Hz at the end of a certain spring.The spring is then cut into two halves.The 1.0-kg block is then made to oscillate at the end of one of the halves.What is the frequency of oscillation of the block?

A 0.750-kg object hanging from a vertical spring is observed to oscillate with a period of 1.50 s.When the 0.750-kg object is removed and replaced by a 1.50-kg object, what will be the period of oscillation?

A simple harmonic oscillator with a period of 2.0 s is subject to damping so that it loses one percent of its amplitude per cycle.About how much energy does this oscillator lose per cycle?

Which one of the following expressions gives the displacement of the block as a function of time? Let x be in cm and t in seconds.

10-1 A relaxed spring protrudes from an opening 0.0500 meters as shown in Figure A. A 1.00-kg block is found to just force the spring completely into the opening as shown in Figure B. -Determine the spring constant k.

Exam 10: Simple Harmonic Motion and Elasticity

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. -What is the stress on the wire?

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. -What is the elongation strain on the wire?

When a force of 19 N is applied to a spring, it elongates 0.085 m.Determine the period of oscillation of a 4.0-kg object suspended from this spring.

Which one of the following terms is used to describe a system in which the degree of damping is just enough to stop the system from oscillating?

A ping-pong ball weighs 0.025 N.The ball is placed inside a cup that sits on top of a vertical spring.If the spring is compressed 0.055 m and released, the maximum height above the compressed position that the ball reaches is 2.84 m.Neglect air resistance and determine the spring constant.

A pendulum is transported from sea-level, where the acceleration due to gravity g is 9.80 m/s2, to the bottom of Death Valley.At this location, the period of the pendulum is decreased by 3.00%.What is the value of g in Death Valley?

A 10-kg box is at rest at the end of an unstretched spring with constant k = 4000 N/m.The mass is struck with a hammer giving it a velocity of 6.0 m/s to the right across a frictionless surface.What is the amplitude of the resulting oscillation of this system?

In a certain clock, a pendulum of length L1 has a period T1 = 0.95 s.The length of the pendulum is adjusted to a new value L2 such that T2 = 1.0 s.What is the ratio L2/L1?

A block is suspended from the ceiling by a long, thin strip of tungsten metal.The strip behaves as a spring.To produce a 0.25 m horizontal deflection of the block, a force of 6.5 N is required.Calculate the spring constant for the tungsten strip.

10-3 A plastic box has an initial volume of 3.50 m3.It is then submerged below the surface of a liquid and its volume decreases to 3.48 m3. -What is the volume strain on the box?

A simple pendulum on earth has a period of 6.0 s.What is the approximate period of this pendulum on the moon where the acceleration due to gravity is roughly 1/6 that of earth?

What is the total mechanical energy of the system at any instant?

The maximum compressional stress that a bone can withstand is 1.6 × 108 N/m2 before it breaks.A thighbone (femur) , which is the largest and longest bone in the human body, has a cross sectional area of 7.7 × 10-4 m2.What is the maximum compressional force that can be applied to the thighbone?

A 1.0-kg block oscillates with a frequency of 10 Hz at the end of a certain spring.The spring is then cut into two halves.The 1.0-kg block is then made to oscillate at the end of one of the halves.What is the frequency of oscillation of the block?

A 0.750-kg object hanging from a vertical spring is observed to oscillate with a period of 1.50 s.When the 0.750-kg object is removed and replaced by a 1.50-kg object, what will be the period of oscillation?

A simple harmonic oscillator with a period of 2.0 s is subject to damping so that it loses one percent of its amplitude per cycle.About how much energy does this oscillator lose per cycle?

Which one of the following expressions gives the displacement of the block as a function of time? Let x be in cm and t in seconds.

10-1 A relaxed spring protrudes from an opening 0.0500 meters as shown in Figure A. A 1.00-kg block is found to just force the spring completely into the opening as shown in Figure B. -Determine the spring constant k.

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. -What is the stress on the wire?

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. -What is the elongation strain on the wire?

A pendulum is transported from sea-level, where the acceleration due to gravity g is 9.80 m/s², to the bottom of Death Valley.At this location, the period of the pendulum is decreased by 3.00%.What is the value of g in Death Valley?

In a certain clock, a pendulum of length L₁ has a period T₁ = 0.95 s.The length of the pendulum is adjusted to a new value L₂ such that T₂ = 1.0 s.What is the ratio L₂/L₁?

10-3 A plastic box has an initial volume of 3.50 m³.It is then submerged below the surface of a liquid and its volume decreases to 3.48 m³. -What is the volume strain on the box?