Exam 13: Vibrations and Waves

An earthquake emits both P-waves and S-waves that travel at different speeds through the Earth.A P-wave travels at 9 000 m/s and an S-wave at 4 000 m/s.If P-waves are received at a seismic station 34.0 s before an S-wave arrives,how far is the station from the earthquake center?

Suppose a 0.70-kg mass on a spring that has been compressed 0.26 m has elastic potential energy of 2.20 J.How much further must the spring be compressed to triple the elastic potential energy?

A 0.30-kg object is oscillating on a spring with a spring constant of k = 22.0 N/m.What is the potential energy of the system when the object displacement is 0.035 m,exactly half the maximum amplitude?

Consider the curve f(x)= A cos(2πx/λ).The wavelength of the wave will be:

​A block on a level,frictionless surface and connected to a spring undergoes simple harmonic motion with amplitude A.At x = 0,which relationship is correct?

A runaway railroad car,with mass 45.0 × 10⁴ kg,coasts across a level track at 3.80 m/s when it collides with a spring-loaded bumper at the end of the track.If the spring constant of the bumper is 3.80 × 10⁶ N/m,what is the maximum compression of the spring during the collision? (Assume the collision is elastic. )

A musical tone,sounded on a piano,has a frequency of 460 Hz and a wavelength in air of 0.50 m.What is the wave speed?

Three identical springs each have the same spring constant k.If these three springs are attached end to end forming a spring three times the length of one of the original springs,what will be the spring constant of the combination?

I attach a 4.0-kg block to a spring that obeys Hooke's law and supply 3.4 J of energy to stretch the spring.I release the block;it oscillates with period 0.15 s.The amplitude is

A 2.00-m long piano string of mass 10.0 g is under a tension of 320 N.Find the speed with which a wave travels on this string.

Bats can detect small objects such as insects that are of a size approximately that of one wavelength.If bats emit a chirp at a frequency of 60 kHz,and the speed of sound waves in air is 335 m/s,what is the smallest size insect they can detect?

Which of the following is an example of a longitudinal wave?

Doubling the weight suspended vertically from a coil spring will result in a change in the displacement of the spring's lower end by what factor?