Physics Exam #3 Review (Chapter 11)

A 0.30 kg mass is suspended on a spring. In equilibrium, the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

0.0074 J

A mass is attached to a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the amplitude?

0.083 m

A 1.5 kg mass attached to spring with a force constant of 20.0 N/m oscillated on a horizontal, frictionless track. At t=0, the mass is released from rest at x= 10.0 cm. Determine total energy of the oscillating system.

0.10 J

Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude?

0.10 m

A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

0.16 m/s

A 0.50 kg mass is attached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

0.17 m

Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wavelength?

0.20 m

A 0.50 kg mass is attached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

0.24 m

A 4.0 kg object is attached to a spring of spring constant 10 N/m. The object is displaced by 5.0 cm from the equilibrium position and let go. What is the frequency of vibration?

0.25 Hz

A 2.0 kg mass is attached to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

0.25 J

A string of linear density 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 Hz?

0.26 m

A 0.30 kg mass is suspended on a spring. In equilibrium, the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

0.28 s

A 1.5 kg mass attached to spring with a force constant of 20.0 N/m oscillated on a horizontal, frictionless track. At t=0, the mass is released from rest at x= 10.0 cm. Determine the maximum speed of the mass. Where does the maximum speed occur?

0.37 m/s, at the equilibrium position

A 2.0 kg mass is hung from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibration?

0.48 Hz

A mass is attached to a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

0.50 Hz

A string of length 2.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formed. Determine the distance between two adjacent nodes.

0.50 m

An object in simple harmonic motion obeys the following position versus time equation: y= (0.50 m) sin (pi/2t). What is the amplitude of vibration?

0.50 m

A mass on a string undergoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the period?

0.50 s

A 0.50 kg mass is attached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

0.56 J

A 1.5 kg mass attached to spring with a force constant of 20.0 N/m oscillated on a horizontal, frictionless track. At t=0, the mass is released from rest at x= 10.0 cm. Determine the frequency of the oscillations.

0.58 Hz

A mass m hanging on a spring has a natural frequency f. If the mass is increased to 4m, what is the new natural frequency?

0.5f

A wave moves on a string with wavelength lambda and frequency f. A second wave on the same string has wavelength 2(lambda) and travels with the same velocity. What is the frequency of the second wave?

0.5f

A mass vibrates back and forth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

0.625 J

What is the period of a wave with a frequency of 1500 Hz?

0.67 ms

An object in simple harmonic motion obeys the following position versus time equation: y= (0.50 m) sin (pi/2t). What is the maximum speed of the object?

0.79 m/s

A pendulum has a period of 2.0 s on Earth. What is its length?

1.0 m

A string of length 2.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formed. Determine the wavelength of the waves that travel on the string.

1.0 m

A 1.5 kg mass attached to spring with a force constant of 20.0 N/m oscillated on a horizontal, frictionless track. At t=0, the mass is released from rest at x= 10.0 cm. Determine the maximum acceleration of the mass. Where does the maximum acceleration occur?

1.3 m/s^2, at maximum displacement

If one doubles the tension in a violin string, the fundamental frequency of that string will increase by a factor of

1.4

A string of mass M and length L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is increased to 2T?

1.4T

A string of mass M and length L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no change in mass?

1.4v

A pendulum makes 12 complete swings in 8.0s. What are its frequency and period on Earth?

1.5 Hz, 0.67 s

When the length of a simple pendulum is tripled, the time for one complete vibration increases by a factor of

1.7

A string of linear density 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along the string?

1.7 x 10^2 m/a

A mass attached to the free end of a spring execute simple harmonic motion according to the equation y = (0.50 m) sin (18*pi*t) where y is in meters and t is seconds. What is the period of vibration?

1/9 s

A 3.00 kg pendulum is 28.84 m long. What is its period on Earth?

10.78 s

Find the first three harmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 N.

132 Hz, 264 Hz, 396 Hz

If a guitar string has a fundamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibration?

1500 Hz

A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

16 Hz

What is the frequency of a wave which has a period of 6.00 ms?

167 Hz

A string of length 2.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formed. Determine the fundamental frequency of this string.

17 Hz

A simple pendulum consists of a 0.25 kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2.0 Hz. What frequency would have resulted if a 0.50 kg mass had been attached to the string instead?

2.0 Hz

A mass is attached to a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the period of oscillation?

2.0 s

The pendulum of a grandfather clock is 1.0 m long. What is its period on Earth?

2.0 s

A simple pendulum consisting of a 20 g mass has initial angular displacement of 8.0 degrees. It oscillates with a period of 3.00 s. Determine the length of the pendulum.

2.2 m

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose total mass is 25.0 kg. The wire is under a tension of 2000 N. Determine the velocity of the wave on the wire.

200 m/s

Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave speed?

24 m/s

The velocity of propagation of a transverse wave on a 2.0 m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this string?

25 Hz

What is the spring constant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from it?

294 N/m

What is the velocity of a wave that has a wavelength of 3.0 m and frequency of 12 Hz?

36 m/s

What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 3.0 m?

36 m/s

The mass of a mass and spring system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

4.0 Hz

A 4.0 kg object is attached to a spring of spring constant 10 N/m. The object is displaced by 5.0 cm from the equilibrium position and let go. What is the period of vibration?

4.0 s

An object in simple harmonic motion obeys the following position versus time equation: y= (0.50 m) sin (pi/2t). What is the period of vibration?

4.0 s

The pendulum of a grandfather clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity is only 1.7 m/s^2?

4.8 s

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose total mass is 25.0 kg. The wire is under a tension of 2000 N. Determine the frequency of this wave.

400 Hz

A piano string of linear mass density 0.0050 kg/m is under a tension of 1350 N. What is the wave speed?

520 m/s

What is the frequency of a 2.5 m wave traveling at 1400 m/s?

560 Hz

A stretched string is observed to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

600 Hz

A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half and the system is again set in motion with amplitude 4.0 cm. What is the energy of the system now?

8.0 J

A string of length 2.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formed. Determine the velocity of waves.

85 m/s

Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What is the period of B?

T

For vibrational motion, the maximum displacement from the equilibrium point is called the

amplitude

In a wave, the maximum displacement of points of the wave from equilibrium is called the wave's

amplitude

A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a minimum?

at either A or B

A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a maximum?

at either A or B

Two wave pulses with equal positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the same time

constructive interference occurs

If you take a given pendulum to the Moon , where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum will

decrease

For a forced vibration, the amplitude of vibration is found to depend on the

difference of the external frequency and natural frequency

When the mass of a simple pendulum is tripled, the time required for one complete vibration

does not change

For a periodic process, the number of cycles per unit time is called the

frequency

The number of crests of a wav passing a point per unit time is called the wave's

frequency

Doubling only the amplitude of a vibrating mass and spring system produces what effect on the system's mechanical energy?

increases the energy by a factor of four

Doubling only the spring constant of a vibrating mass and spring system produces what effect on the system's mechanical energy?

increases the energy by a factor of two

A mass on a spring undergoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous acceleration

is a maximum

A mass on a spring undergoes SHM. When the mass passes through the equilibrium position, its instantaneous velocity

is maximum

A mass on a spring undergoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous velocity

is zero

The frequency of a wave increases. What happens to the distance between successive crests if the speed remains constant?

it decreases

What happens to a simple pendulum's frequency if both its length and mass are increased?

it decreases

Resonance in a system, such as a string fixed at both ends, occurs when

its frequency is the same as the frequency of an external source

A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximum?

midway between A and B

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

midway between A and B

A simple pendulum consisting of a 20 g mass has initial angular displacement of 8.0 degrees. It oscillates with a period of 3.00 s. Does the period of the pendulum depend on the initial angular displacement?

no, it doesn't depend on initial angular displacement

A simple pendulum consisting of a 20 g mass has initial angular displacement of 8.0 degrees. It oscillates with a period of 3.00 s. Does the period of the pendulum depend on the mass of the pendulum?

no, it doesn't depend on the mass of the pendulum

In seismology, the P wave is a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particles is

parallel

The time for one cycle of a periodic process is called the

period

In seismology, the S wave is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the particles is

perpendicular

Doubling only the mass of a vibrating mass and spring system produces what effect on the system's mechanical energy?

produces no change

The intensity of a wave is

proportional to both the amplitude squared and frequency squared

A mass oscillates on the end of a spring, both on Earth and on the Moon. Where is the period the greatest?

same on both Earth and Moon

For a wave, the frequency times the wavelength is the wave's

speed

Increasing the mass M of a mass and spring system causes what kind of change in the resonance frequency of the system?

the frequency decreases

Increasing the spring constant k of a mass and spring system causes what kind of change in the resonance frequency of the system?

the frequency increases

A simple pendulum consists of a mass M attached to a weightless string of length L. For this system, when undergoing small oscillations

the frequency is independent of the mass M

Simple pendulum A swings back and forth at twice the frequency of simple pendulum B. Which statement is correct?

the length of B is four times the length of A

A wave pulse traveling to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

the reflected pulse returns inverted while the transmitted pulse is right side up

Consider a traveling wave on a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is true?

the wave velocity depends on M, L, T.

Increasing the amplitude of a mass and spring system causes what kind of change in the resonance frequency of the system?

there is no change in the frequency

Two masses, A and B, are attached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequency of 16 Hz. How does the maximum speed of A compare to the maximum speed of B?

they are equal

The distance between successive crests on a wave is called the wave's

wavelength

A 1.5 kg mass attached to spring with a force constant of 20.0 N/m oscillated on a horizontal, frictionless track. At t=0, the mass is released from rest at x= 10.0 cm. Express the displacement as a function of time.

x= (0.10 m) cos (3.7t)

A 0.30 kg mass is suspended on a spring. In equilibrium, the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

y= (0.01 m) cos (22.1t)

A simple pendulum consisting of a 20 g mass has initial angular displacement of 8.0 degrees. It oscillates with a period of 3.00 s. Does the period of the pendulum depend on the acceleration due to gravity?

yes, it depends on the acceleration due to gravity

A simple pendulum consisting of a 20 g mass has initial angular displacement of 8.0 degrees. It oscillates with a period of 3.00 s. Does the period of the pendulum depend on the length of the pendulum?

yes, it depends on the length of the pendulum

A mass vibrates back and forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

zero