2832

Physics Waves And Oscillations Level: High School

Standing Waves

The velocity of waves on a string is 265 m/s . If the frequency of standing waves is 133 Hz, how far apart are the nodes ?



2831

Physics Waves And Oscillations Level: High School

Standing Waves

A violin string vibrates at 280 Hz when unfingered . At what frequency will it vibrates if it is fingered one-fourth of the way down from the end ?



2830

Physics Waves And Oscillations Level: High School

Standing Waves

One end of a horizontal string of linear density 4.47 x 10^-4 kg/m is attached to a small-amplitude mechanical 60.5 Hz vibrator. The string passes over a pulley , a distance L = 1.59 m away , and weights are hung from this end , as seen in the figure at “click here” . What mass must be hung from this end of the string to produce one loop of a standing wave ? Assume the string at the vibrator is cathode , which is nearly true .

a) What mass must be hung from this end of the string to produce two loops of a standing wave ?




2829

Physics Waves And Oscillations Level: High School

Intensity of Waves

The intensity of a particular earth quake is measured to be 2.25 x 10^6 W/m^3 at a distance of 126 km from the source . What was the intensity when is passed a point only 3.87 km from the source ? Give answer in W/m^2 .

a) What was the energy passed through an area of 4.75 m^2 at a distance of 3.87 km ?




2828

Physics Waves And Oscillations Level: High School

Simple Harmonic Motion

A 1.96 kg mass vibrates according to the equation x = 0.626 cos 8.02 t where x is in meters and t in seconds. Determine the amplitude.

a) Calculate the frequency

b) Calculate the total energy

c) Calculate the kinetic energy when x = 0.284

d) Calculate the potential energy when x = 0.284 m




2827

Physics Waves And Oscillations Level: High School

Simple Harmonic Motion

A partially filled water bottle of mass 0.273 kg and almost the same size and shape of the balsa block is tossed into the water . At what frequency would you expect the bottle to bob up and down ? Assume SHM .



2826

Physics Waves And Oscillations Level: High School

Simple Harmonic Motion

A balsa wood block of mass 48.1 g floats on a lake , bobbing up and down at a frequency of 2.32 Hz . What is the value of the effective spring constant of the water ?



2825

Physics Waves And Oscillations Level: High School

Simple Harmonic Motion

A spring stretches 3.9 cm when a 10-g object is hung from it . The object is replaced with a block of mass 25-g that oscillates in simple harmonic motion . Calculate the period of motion .



2824

Physics Waves And Oscillations Level: High School

Simple Harmonic Motion

A .40 kg object connected to a light spring with a force constant of 19.6 N/m oscillates horizontal surface determine .

a) The speed of the object when the spring is compressed 1.5 cm

b) For what value of x does the speed equal one-half the maximum speed ?




2822

Physics Waves And Oscillations Level: High School

Simple Harmonic Motion

A 1.85 kg mass is attached to a spring and placed on a horizontal , smooth surface . A horizontal force of 19.6 N is required to hold the mass at rest when it is pulled 0.210 m from its equilibrium position (the origin of the x axis) . The mass is now released from rest with an initial displacement of xi = 0.210 m ,and it subsequently undergoes simple harmonic oscillations .

a) Calculate the force constant of the spring .

b) Calculate the frequency of the oscillations .

c) Calculate maximum speed of the mass .

d) Calculate the maximum acceleration of the mass .

e) Calculate the total energy of the oscillating system .

f) Calculate the speed when the displacement equals one third of the maximum value .

g) Calculate the acceleration when the displacement equals one third of the maximum value .




2821

Physics Waves And Oscillations Level: High School

Simple Harmonic Motion

A large block P executes horizontal simple harmonic motion as it slides a frictionless surface with a frequency of f = 1.49 Hz . Block B rests on it and the coefficient of static friction between the two is µs = 0.650 . What maximum amplitude of oscillation can the system have if block B is not to slip ?



2820

Physics Waves And Oscillations Level: High School

Speed of Wave

A vibrator moves one end of a rope up and down to generate a wave . The tension in the rope is 58 N . The frequency is then doubled . To what value must the tension be adjusted , so the new wave has the same wavelength as the ole one ?



2814

Physics Waves And Oscillations Level: High School

Simple Harmonic Motion

A simple pendulum is made from a 0.66 m long string and a small ball attached to its free end . The ball is pulled to one side through a small angle and then released from rest . After the bal is released , how much time elapses before it attains its greatest speed ?



2811

Physics Waves And Oscillations Level: High School

Bow and Arrow Problem

An arches pulls the bowstring back for a distance of 0.530 m before releasing the arrow . The bow and string act like a spring whose spring constant is 440 N/m .

a) What is the elastic potential energy of the drawn bow ?

b) The arrow has a mass of 0.0300 kg . How fast is traveling when it leaves the bow ?




2810

Physics Waves And Oscillations Level: High School

Vertical Spring Simple Harmonic Motion

When an object of mass m1 is hung on a vertical spring and set into vertical simple harmonic motion . Its frequency is 12 Hz .Which another object of mass m2 is hung on the spring along with m1 ,the frequency of the motion is 4 Hz . Find the ratio m2/m1 of the masses .

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