Question 1

A tiny spring,with a spring constant of 1.30 N/m,will be stretched to what displacement by a 0.00500-N force?

Accepted Answer

A) 3.85 mm 
B) 7.69 mm 
C) 11.5 mm 
D) 6.50 mm 
E) 3.25 mm 
A) 3.85 mm 
B) 7.69 mm 
C) 11.5 mm 
D) 6.50 mm 
E) 3.25 mm

Question 2

A long string is pulled so that the tension in it increases by a factor of four.If the change in length is negligible,by what factor does the wave speed change?

Accepted Answer

A) 4 
B)    
C)    
D)    
E)    
A) 4 
B)    
C)    
D)    
E)

Question 3

A 0.38-kg block rests on a level surface and is attached to a horizontally aligned spring with a spring constant of 55.0 N/m.The block is initially displaced 4.8 cm from the equilibrium point and then released to set up a simple harmonic motion.A frictional force of 0.50 N exists between the block and surface.What is the speed of the block when it passes through the equilibrium point after being released from the 4.8-cm displacement point?

Accepted Answer

A) 0.21 m/s 
B) 0.32 m/s 
C) 0.64 m/s 
D) 0.46 m/s 
E) 1.8 m/s 
A) 0.21 m/s 
B) 0.32 m/s 
C) 0.64 m/s 
D) 0.46 m/s 
E) 1.8 m/s

Question 4

A large spring requires a force of 130 N to compress it only 0.01 m.What is the spring constant of the spring?

Accepted Answer

A) 13 N/m 
B) 13 000 N/m 
C) 1.3 N/m 
D) 130 N/m 
E) 6 500 N/m 
A) 13 N/m 
B) 13 000 N/m 
C) 1.3 N/m 
D) 130 N/m 
E) 6 500 N/m

Question 5

A mass on a spring vibrates in simple harmonic motion at a frequency of 4.20 Hz and an amplitude of 7.50 cm.If the mass of the object is 0.260 kg,what is the spring constant?

Accepted Answer

A) 6.86 N/m 
B) 696 N/m 
C) 181 N/m 
D) 24.1 N/m 
E) 339 N/m 
A) 6.86 N/m 
B) 696 N/m 
C) 181 N/m 
D) 24.1 N/m 
E) 339 N/m

Question 6

Suppose a 0.74-kg mass on a spring that has been compressed 0.100 m has elastic potential energy of 1.20 J.What is the spring constant?

Accepted Answer

A) 178 N/m 
B) 320 N/m 
C) 240 N/m 
D) 24.0 N/m 
E) 74.0 N/m 
A) 178 N/m 
B) 320 N/m 
C) 240 N/m 
D) 24.0 N/m 
E) 74.0 N/m

Question 7

For a mass suspended on a spring in the vertical direction,the time for one complete oscillation will depend on:

Accepted Answer

A) the value for g (the acceleration due to gravity). 
B) the distance the mass was originally pulled down. 
C) the maximum speed of the oscillating mass. 
D) the time doesn't depend on any of the above. 
A) the value for g (the acceleration due to gravity). 
B) the distance the mass was originally pulled down. 
C) the maximum speed of the oscillating mass. 
D) the time doesn't depend on any of the above.

Question 8

A mass of 4.5 kg,resting on a horizontal frictionless surface,is attached on the right to a horizontal spring with spring constant 29 N/m and on the left to a horizontal spring with spring constant 60 N/m.If this system is moved from equilibrium,what is the effective spring constant?

Accepted Answer

A) -31 N/m 
B) 31 N/m 
C) 89 N/m 
D) -89 N/m 
E) 16 N/m 
A) -31 N/m 
B) 31 N/m 
C) 89 N/m 
D) -89 N/m 
E) 16 N/m

Question 9

Spring #1 has spring constant 61.0 N/m.Spring #2 has an unknown spring constant,but when connected in series with Spring #1,the connected springs have an effective spring constant of 20.0 N/m.What is the spring constant for Spring #2?

Accepted Answer

A) 41.0 N/m 
B) 81.0 N/m 
C) 15.1 N/m 
D) 29.8 N/m 
E) 71.0 N/m 
A) 41.0 N/m 
B) 81.0 N/m 
C) 15.1 N/m 
D) 29.8 N/m 
E) 71.0 N/m

Question 10

If the speed of a wave on a violin string is 400 m/s,what will be the speed of the wave if the tension in the string is halved?

Accepted Answer

A) 100 m/s 
B) 200 m/s 
C) 280 m/s 
D) 570 m/s 
A) 100 m/s 
B) 200 m/s 
C) 280 m/s 
D) 570 m/s

Question 11

Equal-wavelength waves of amplitude 0.27 m and 0.13 m interfere with one another.What is the resulting minimum amplitude that can result?

Accepted Answer

A) 0.13 m 
B) 0.14 m 
C) 0 m 
D) −0.40 m 
E) 0.20 m 
A) 0.13 m 
B) 0.14 m 
C) 0 m 
D) −0.40 m 
E) 0.20 m

Question 12

The kinetic energy of the bob on a simple pendulum swinging in simple harmonic motion has its maximum value when the displacement from equilibrium is at what point in its swing?

Accepted Answer

A) zero displacement 
B) 1/4 the amplitude 
C) 1/2 the amplitude 
D) equal the amplitude 
A) zero displacement 
B) 1/4 the amplitude 
C) 1/2 the amplitude 
D) equal the amplitude

Question 13

If a long spring with spring constant k is cut into 4 equal lengths,what is the spring constant of each of the 4 shorter springs?​

Accepted Answer

A) It is still k. 
B) It is k/4. 
C) It is 4k. 
D) It is k/16. 
E) ​It is k + 4. 
A) It is still k. 
B) It is k/4. 
C) It is 4k. 
D) It is k/16. 
E) ​It is k + 4.

Question 14

A string with mass per unit length   1 is under tension T1.A wave traveling along this string has a speed v1.A wave traveling along a second string has speed v2.If v2 = 4v1,what could be the tension,T2,and mass per unit length,  2,of the second string?​

Accepted Answer

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

Question 15

As a gust of wind blows across a field of grain,a wave can be seen to move across the field as the tops of the plants sway back and forth.This wave is a:

Accepted Answer

A) transverse wave. 
B) longitudinal wave. 
C) polarized wave. 
D) interference of waves. 
A) transverse wave. 
B) longitudinal wave. 
C) polarized wave. 
D) interference of waves.

Question 16

Two springs,each with spring constant 33.0 N/m,are connected in parallel,and the combination is hung vertically from one end.A 18.0-N weight is then suspended from the other end of the combined spring.How far does the combined spring stretch as it comes to equilibrium?

Accepted Answer

A) 0.545 m 
B) 0.136 m 
C) 1.09 m 
D) 0.273 m 
E) 2.18 m 
A) 0.545 m 
B) 0.136 m 
C) 1.09 m 
D) 0.273 m 
E) 2.18 m

Question 17

If a radio wave has speed 3.00 × 108 m/s and frequency 94.3 MHz,what is its wavelength?

Accepted Answer

A) 1.59 m 
B) 2.14 m 
C) 4.24 m 
D) 3.18 m 
E) 6.30 m 
A) 1.59 m 
B) 2.14 m 
C) 4.24 m 
D) 3.18 m 
E) 6.30 m

Question 18

A wave is traveling in a string at 50 m/s.When the tension is then increased 18%,what will be the resulting wave speed?​

Accepted Answer

A) also 50 m/s 
B) 54 m/s 
C) 45 m/s 
D) 21 m/s 
E) ​59 m/s 
A) also 50 m/s 
B) 54 m/s 
C) 45 m/s 
D) 21 m/s 
E) ​59 m/s

Question 19

When car shock absorbers wear out and lose their damping ability,what is the resulting oscillating behavior?

Accepted Answer

A) underdamped 
B) critically damped 
C) overdamped 
D) hyperdamped 
A) underdamped 
B) critically damped 
C) overdamped 
D) hyperdamped

Question 20

Triple both the tension in a guitar string and its mass per unit length will result in changing the wave speed in the string by what factor?

Accepted Answer

A)    
B) 1 (i.e. ,no change) 
C)    
D) 3 
E) 2   
A)    
B) 1 (i.e. ,no change) 
C)    
D) 3 
E) 2

Exam 13: Vibrations and Waves

A tiny spring,with a spring constant of 1.30 N/m,will be stretched to what displacement by a 0.00500-N force?

A long string is pulled so that the tension in it increases by a factor of four.If the change in length is negligible,by what factor does the wave speed change?

A large spring requires a force of 130 N to compress it only 0.01 m.What is the spring constant of the spring?

A mass on a spring vibrates in simple harmonic motion at a frequency of 4.20 Hz and an amplitude of 7.50 cm.If the mass of the object is 0.260 kg,what is the spring constant?

Suppose a 0.74-kg mass on a spring that has been compressed 0.100 m has elastic potential energy of 1.20 J.What is the spring constant?

For a mass suspended on a spring in the vertical direction,the time for one complete oscillation will depend on:

A mass of 4.5 kg,resting on a horizontal frictionless surface,is attached on the right to a horizontal spring with spring constant 29 N/m and on the left to a horizontal spring with spring constant 60 N/m.If this system is moved from equilibrium,what is the effective spring constant?

Spring #1 has spring constant 61.0 N/m.Spring #2 has an unknown spring constant,but when connected in series with Spring #1,the connected springs have an effective spring constant of 20.0 N/m.What is the spring constant for Spring #2?

If the speed of a wave on a violin string is 400 m/s,what will be the speed of the wave if the tension in the string is halved?

Equal-wavelength waves of amplitude 0.27 m and 0.13 m interfere with one another.What is the resulting minimum amplitude that can result?

The kinetic energy of the bob on a simple pendulum swinging in simple harmonic motion has its maximum value when the displacement from equilibrium is at what point in its swing?

If a long spring with spring constant k is cut into 4 equal lengths,what is the spring constant of each of the 4 shorter springs?​

A string with mass per unit length 1 is under tension T1.A wave traveling along this string has a speed v1.A wave traveling along a second string has speed v2.If v2 = 4v1,what could be the tension,T2,and mass per unit length,11ec9d41_b3a6_ca0c_88c7_4579e5ef63d1_TB6864_11 2,of the second string?​

As a gust of wind blows across a field of grain,a wave can be seen to move across the field as the tops of the plants sway back and forth.This wave is a:

Two springs,each with spring constant 33.0 N/m,are connected in parallel,and the combination is hung vertically from one end.A 18.0-N weight is then suspended from the other end of the combined spring.How far does the combined spring stretch as it comes to equilibrium?

If a radio wave has speed 3.00 × 108 m/s and frequency 94.3 MHz,what is its wavelength?

A wave is traveling in a string at 50 m/s.When the tension is then increased 18%,what will be the resulting wave speed?​

When car shock absorbers wear out and lose their damping ability,what is the resulting oscillating behavior?

Triple both the tension in a guitar string and its mass per unit length will result in changing the wave speed in the string by what factor?

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If a long spring with spring constant k is cut into 4 equal lengths,what is the spring constant of each of the 4 shorter springs?

If a radio wave has speed 3.00 × 10⁸ m/s and frequency 94.3 MHz,what is its wavelength?

A wave is traveling in a string at 50 m/s.When the tension is then increased 18%,what will be the resulting wave speed?