Name: 
 

Ch 14 - Vibraions and Waves



True/False
Indicate whether the statement is true or false.
 

 1. 

The period of a simple harmonic oscillator is the time it takes for one complete cycle of oscillation to be completed.
 

 2. 

Waves that collide with a barrier will reflect at an angle equal to the angle of incidence.
 

 3. 

Hooke’s Law states that the force exerted by a spring is inversely proportional to the amount it is stretched.
 

 4. 

When work is done on a spring to stretch it, elastic potential energy is stored in the spring.
 

 5. 

When a mass suspended from a spring is in its equilibrium position, the upward force exerted by the spring is equal to the downward force exerted by gravity acting on the mass.
 

 6. 

The period of a pendulum is directly proportional to the mass of the bob.
 

 7. 

When representing waves in two dimensions, a ray can be drawn parallel to the crests of the waves.
 

 8. 

A standing wave results from the interference of two waves of equal wavelength that travel in opposite directions.
 

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 9. 

Which shows the correct angle of reflection given the incident ray shown?
a.

mc009-1.jpg
c.

mc009-3.jpg
b.

mc009-2.jpg
d.

mc009-4.jpg
 

 10. 

What is the period of a pendulum near Earth’s surface that is 130 cm long?
a.
9.1 s
c.
22.9 s
b.
2.3 s
d.
0.83 s
 
 
nar001-1.jpg
 

 11. 

In the diagram, the wavelength is shown by:
a.
b
c.
c
b.
d
d.
a
 

 12. 

In the diagram, the amplitude of the wave is shown by:
a.
d
c.
c
b.
b
d.
a
 

 13. 

If 320 J of work is done on a spring with a spring constant of 730 N/m, how far will it stretch?
a.
0.87 m
c.
0.61 m
b.
0.94 m
d.
0.58 m
 

 14. 

How much work must be done on a spring (k = 730 N/m) to stretch is by 1.5 m?
a.
548 J
c.
1643 J
b.
649 J
d.
821 J
 

 15. 

If the period of a certain wave (wavelength = 4.5 m) is 2 seconds, what is the speed of the wave?
a.
9.0 m/s
c.
1.1 m/s
b.
0.44 m/s
d.
2.3 m/s
 

 16. 

A spring (k = 790 N/m) has a length of 48 cm when zero net force is applied to it.  What will its length be when 230 N of force is applied to stretch it?
a.
0.29 m
c.
3.4 m
b.
0.77 m
d.
3.9 m
 

Completion
Complete each statement.
 

 17. 

On a graph of force versus displacement of a spring, the ____________________ is given by the slope of the line.
 

 

 18. 

The angle between an incident ray and the normal is called the ____________________.
 

 

 19. 

A wave that strikes a boundary is called a(n) ____________________ wave.
 

 

 20. 

____________________ interference occurs when a crest and a trough of equal amplitudes coincide.
 

 

 21. 

Transverse waves vibrate ____________________ to the direction the wave propagates.
 

 

 22. 

A ____________________ is due to the interference of two traveling waves moving in opposite directions.
 

 

 23. 

A wave carrying a larger amount of energy will have a greater ____________________.
 

 

 24. 

The speed of a wave is determined solely by the wave’s ____________________.
 

 

Short Answer
 

 25. 

What conditions are necessary for resonance to occur?
 

 26. 

An incident wave is propagated down a spring.  When it meets another spring, some of the energy continues down the spring, while some is reflected back on the first spring, but inverted.  Predict how the second spring compares to the first in terms of stiffness or heaviness.
 

Problem
 

 27. 

Spring A with a spring constant of 279 N/m is stretched by a distance of 18.0 cm when a block is suspended from its end. An object is suspended from another spring B with a spring constant of 145 N/m. If the elastic potential energy in both the springs is the same, how far does spring B stretch?
 

 28. 

A spring is subjected to a stretching force. The following graph shows the variation of the force with the extension produced in the spring. Calculate the increase in the potential energy of the spring when the extension increases from 1.7 cm to 3.3 cm.

pr028-1.jpg
 

 29. 

A spring has 54,000 J of elastic potential energy stored when it is stretched out.  If its spring constant is 285 N/m, how much has the spring been stretched?
 
 
Displacement of a Spring
nar002-1.jpg
 

 30. 

How much potential energy is stored in the spring if it is displaced 0.6 m?
 

 31. 

The displacement of a spring when different amounts of force are applied is shown in this graph.  What is the spring constant of this spring?
 

 32. 

A lifeguard on a beach observes that waves have a speed of 2.60 m/s and a distance of 2.50 m between wave crests. What is the period of the wave motion?
 



 
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