Exam 13: Vibrations and Waves

A wave travels in a string at 58 m/s.A second string of 10% greater linear density has the same tension applied as in the first string.What will be the resulting wave speed in the second string?

Consider two identical and symmetrical wave pulses on a string.Suppose the first pulse reaches the fixed end of the string and is reflected back and then meets the second pulse.When the two pulses overlap exactly,the superposition principle predicts that the amplitude of the resultant pulses,at that moment,will be what factor times the amplitude of one of the original pulses?

Transverse waves travel with a speed of 105 m/s along a taut copper wire that has a diameter of 2.28 mm.What is the tension in the wire? (The density of copper is 8.93 g/cm³. )

A simple pendulum has a period of 4.40 s.What is the pendulum length? (g = 9.80 m/s²)

The superposition principle has to do with which of the following?

By what factor should the length of a simple pendulum be changed if the period of vibration were to be increased by a factor of three?

A mass of 0.40 kg,hanging from a spring with a spring constant of 75.0 N/m,is set into an up-and-down simple harmonic motion.What is the speed of the mass when moving through the equilibrium point? The starting displacement from equilibrium is 0.20 m.

A mass of 0.40 kg,hanging from a spring with a spring constant of 82 N/m,is set into an up-and-down simple harmonic motion.What is the speed of the mass when moving through a point at 0.05 m displacement? The starting displacement of the mass is 0.10 m from its equilibrium position.

The motion of a piston in an automobile engine is nearly simple harmonic.If the 1-kg piston travels back and forth over a total distance of 15.6 cm,what is its maximum speed when the engine is running at 3 480 rpm?

A simple pendulum has a mass of 0.202 kg and a length of 1.00 m.It is displaced through an angle of 31.4° and then released.After a time,the maximum angle of swing is only 10.0°.How much energy has been lost to friction?

What is the phase difference when two waves,traveling in the same medium,undergo constructive interference?

If a wave pulse is reflected from a free boundary,which of the following choices best describes what happens to the reflected pulse?

A 0.200-kg object,attached to a spring with spring constant k = 16.0 N/m,is moving on a horizontal frictionless surface in simple harmonic motion of amplitude of 0.0840 m.What is its speed at the instant when its displacement is 0.0420 m? (Hint: Use conservation of energy. )

For a wave traveling in a string,by what factor would the tension need to be increased to quadruple the wave speed?

Triple the mass of the bob on a simple pendulum will cause a change in the frequency of the pendulum swing by what factor?

Sound waves of a certain frequency in air having a wavelength of 1.9 m will have what wavelength in water? Take the speed of sound in air to be 340 m/s and in water to be 1 490 m/s.

The wavelength of a traveling wave can be calculated if one knows the:

A traveling wave train has wavelength 0.400 m,speed 35.0 m/s.Find the wave frequency.

A 0.20-kg mass is oscillating on a spring over a horizontal frictionless surface.When it is at a displacement of 2.3 cm for equilibrium it has a kinetic energy of 1.5 J and a spring potential energy of 2.3 J.What is the maximum speed of the mass during its oscillation?

An ore car of mass 4 900 kg rolls downhill on tracks from a mine.At the end of the tracks,13.5 m lower in elevation,is a spring with k = 410 000 N/m.How much is the spring compressed in stopping the ore car? Ignore friction.