An earthquake emits both S-waves and P-waves which travel at different speeds through the Earth. A P-wave travels at 9 000 m/s and an S-wave travels at 5 000 m/s. If P-waves are received at a seismic station 1.00 minute before an S-wave arrives, how far away is the earthquake center?

Question
Asked Sep 28, 2019

 

An earthquake emits both S-waves and P-waves which travel at different speeds through the Earth. A P-wave travels at 9 000 m/s and an S-wave travels at 5 000 m/s. If P-waves are received at a seismic station 1.00 minute before an S-wave arrives, how far away is the earthquake center? 
check_circle

Expert Answer

Step 1

Consider d be the distance between the station and the earthquake centre. Also, consider the time taken by the P waves to reach the station be t.

Therefore,

The distance d can be expressed as:

Using P waves:

d i
(9000 m/s)
help_outline

Image Transcriptionclose

d i (9000 m/s)

fullscreen
Step 2

Also, using S waves: The S wave reaches 1 min late. Therefore,  

dvsis
= ' (1+1 min
60 s
="s | t+(1 min )\ 1 min
= 's (1+60 s)
= (5000 m/s)(t+60 s
help_outline

Image Transcriptionclose

dvsis = ' (1+1 min 60 s ="s | t+(1 min )\ 1 min = 's (1+60 s) = (5000 m/s)(t+60 s

fullscreen
Step 3

Equate the distance obtained fr...

(9000 m/s) = (5000 m/s) (t+60 s)
(9)f=(5)(t+60 s)
4t 300 s
t=75 s
help_outline

Image Transcriptionclose

(9000 m/s) = (5000 m/s) (t+60 s) (9)f=(5)(t+60 s) 4t 300 s t=75 s

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: A guitar string vibrates harmonically with frequency of 512 Hz (one octave above middle C on the mus...

A: (a) The expression for the maximum speed at the center point of the string is given by,

question_answer

Q: A 10.0 kg mass is at rest on a board inclined at an angle of 30.0o above the horizontal. The mass is...

A: The expression for the net force at equilibrium,

question_answer

Q: Which two factors affect the amount of sunlight received by a planet’s surface?

A: The two main factors which affect the amount of sunlight, the surface of the planet recieves are as ...

question_answer

Q: A moonshiner makes the error of filling a glass jar to the brim and capping it tightly. The moonshin...

A: the formula for the bulk modulus is 

question_answer

Q: You see yourself as a highway engineer, so that you are thinking that the maximum centripetal accele...

A: Click to see the answer

question_answer

Q: Problems, Section 9 number,10,11. Please answer the questions

A: Solving part 10:

question_answer

Q: A car travels down a straight country road that leads over hills and through valleys. On one particu...

A: The mass of the driver can be calculated as follows.

question_answer

Q: Two particles are fixed to an x axis: particle 1 of charge -1.90 × 10-7 C is at the origin and parti...

A: The electric field lines out of the positive charge and toward the negative charge.Write the express...

question_answer

Q: A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed ...

A: Consider the three different motions the engine is subjected to. First when it is fired and travels ...