Exam 11: Oscillations and Waves

A 1.15-kg beaker (including its contents) is placed on a vertical spring scale. When the system is sent into vertical vibrations, it obeys the equation What is the force constant (spring constant) of the spring scale, assuming it to be ideal?

A standing wave is oscillating at 950 Hz on a string, as shown in the figure. What is the wave speed?

An astronaut has landed on Planet N-40 and conducts an experiment to determine the acceleration due to gravity on that planet. She uses a simple pendulum that is 0.640 m long and measures that 10 complete oscillations 26.0 s. What is the acceleration of gravity on Planet N-40 ?

The position of an air-track cart that is oscillating on a spring is given by the equation x=(12.4 cm) At what value of t after t=0.00 s is the cart first located at x=8.47 cm?

A block attached to an ideal spring of force constant (spring constant) 15 N/m executes simple harmonic motion on a frictionless horizontal surface. At time t=0 s, the block has a displacement of -0.90 m, a velocity of -0.80 m/s, and an acceleration of closest to The mass of the block is

A 51.8-kg bungee jumper jumps off a bridge and undergoes simple harmonic motion. If the period of oscillation is 11.2 s, what is the spring constant (force constant) of the bungee cord?

A ball is oscillating on an ideal spring with an amplitude of 8.3 cm and a period of 4.6 s. Write an expression for its position, x , as a function of time t , if x is equal to 8.3 cm at t= 0.0 s. Use the cosine function.

A package is oscillating on a spring scale with a period of 4.60 s. At time t=0.00 s the package has zero speed and is at x=8.30 cm. At what time after t=0.00 s will the package first be at x=4.15 cm?

When a laboratory sample of unknown mass is placed on a vertical spring-scale having a force constant (spring constant) of 467 N/m, the system obeys the equation y=(4.4 cm) What is the mass of this laboratory sample?

Calculate the light intensity 1.45 m from a light bulb that radiates 100 W equally in all directions

A string of mass m is under tension, and the speed of a wave in the string is What will be the speed of a wave in the string if the mass of the string is increased to 2 m but with no change in the length or tension?

The vertical displacement y(x, t) of a horizontal string aligned along the x -axis is given by the equation $y ( x , t ) = ( 6.00 \mathrm {~mm} ) \cos \left[ \left( 3.25 \mathrm {~m} ^ { - 1 } \right) x - \left( 7.22 \mathrm {~s} ^ { - 1 } \right) t \right]$ What are the (a) wavelength and (b) period of this wave?

A 2.0 kg box is traveling at 5.0 m/s on a smooth horizontal surface when it collides with and sticks to a stationary 6.0 kg box. The larger box is attached to an ideal spring of force constant (spring constant) 150 N/m, as shown in the figure. Find (a) the amplitude of the resulting oscillations of this system, (b) the frequency of the oscillations and (c) the period of the oscillations.

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

If the frequency of a violin string is to be increased by 20% , what change in tension must be applied?

If the frequency of a system undergoing simple harmonic motion doubles, by what factor does the maximum value of acceleration change?

If a wave has a speed of 362 m/s and a period of 4.17 ms, what is its wavelength?

The figure shows a graph of the velocity v as a function of time t for a system undergoing simple harmonic motion. Which one of the following graphs represents the acceleration of this system as a Function of time?

The intensity of the waves from a point source at a distance d from the source is I . What is the intensity at a distance 2d from the source?

A pendulum that was originally erected by Foucault at the Pantheon in Paris for the Paris Exhibition in 1851 was restored in 1995. It has a 28.0-kg sphere suspended from a 67.0-m light cable. How long would it take for the bob in this pendulum to move from the position of maximum displacement down to the equilibrium point?