Question 1

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?

Accepted Answer

A) 1.22E+5 m 
B) 4.90E+5 m 
C) 2.45E+5 m 
D) 9.42E+4 m 
E) 1.70E+5 m

Question 2

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?

Accepted Answer

A) 0.45 m 
B) 0.71 m 
C) 0.78 m 
D) 0.19 m 
E) 0.52 m

Question 3

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?

Accepted Answer

A) zero 
B) 0.027 J 
C) 0.013 J 
D) 0.39 J 
E) 11 J

Question 4

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

Accepted Answer

A) the distance 0 to A. 
B) twice the distance 0 to A. 
C) the distance x2 to x3. 
D) twice the distance x2 to x3.

Question 5

​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?

Accepted Answer

A) ​|v| max| 
B) ​|v| = |vmax| 
C) ​|v| > |vmax| 
D) ​Not enough information to determine a relationship.

Question 6

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. )

Accepted Answer

A) 1.31 m 
B) 1.85 m 
C) 0.925 m 
D) 2.10 m 
E) 2.62 m

Question 7

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?

Accepted Answer

A) 920 m/s 
B) 270 m/s 
C) 230 m/s 
D) 109 m/s 
E) 115 m/s

Question 8

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?

Accepted Answer

A) k 
B) 3k 
C) k/3 
D) 1.73k

Question 9

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

Accepted Answer

A) 2.2 cm. 
B) 3.1 cm. 
C) 1.6 cm. 
D) 20 cm. 
E) 4.4 cm.

Question 10

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.

Accepted Answer

A) 506 m/s 
B) 253 m/s 
C) 126 m/s 
D) 358 m/s 
E) 80.0 m/s

Question 11

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?

Accepted Answer

A) 4.6 mm 
B) 3.6 mm 
C) 5.6 mm 
D) 6.6 mm 
E) 7.6 mm

Question 12

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

Accepted Answer

A) sound wave in air 
B) wave traveling in a string 
C) both a and b 
D) neither a nor b

Question 13

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?

Accepted Answer

A) 0.50 
B) 1.0 
C) 2.0 
D) 4.0 
E) 0.25

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 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?

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 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?

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?