Question regarding gravitational waves

In summary, the question asks how long it will take for gravitational waves produced by a star 10 light-years away to reach the Earth. The equations needed to solve this problem may vary, but for small amplitude waves, they propagate at the speed of light (c). Therefore, it would take 10 years for the waves to reach the Earth.
  • #1
blueberrynerd
21
0

Homework Statement


A star 10 light-years away explodes and produces gravitational waves. How long will it take these waves to reach the earth?


Homework Equations


The problem is, I don't know what equations to use or if it's just a matter of simple math.


The Attempt at a Solution


My answer is that it takes 10 years to reach the Earth, but something tells me that this is wrong. Can anyone help me solve this problem or tell me if my answer is correct? :frown:
 
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  • #2
blueberrynerd said:

Homework Statement


A star 10 light-years away explodes and produces gravitational waves. How long will it take these waves to reach the earth?


Homework Equations


The problem is, I don't know what equations to use or if it's just a matter of simple math.


The Attempt at a Solution


My answer is that it takes 10 years to reach the Earth, but something tells me that this is wrong. Can anyone help me solve this problem or tell me if my answer is correct? :frown:

As far as I know, gravitational waves propagate with speed c.
 
  • #3
The answer will depend on whether you are required to take into account the metric expansion of space; if not than your answer is correct as the waves propagate at the speed of light.
 
  • #4
Do all gravitational waves propagate at the same speed? Is it only the magnitude which varies, according to the body of matter that produced the waves?
 
  • #5
blueberrynerd said:
Do all gravitational waves propagate at the same speed? Is it only the magnitude which varies, according to the body of matter that produced the waves?

For small amplitude gravitational waves they propagate at speed c. An exploding star counts as a small amplitude wave. Just use c.
 
  • #6
Thanks a bunch! :biggrin:
 

What are gravitational waves?

Gravitational waves are ripples in the fabric of spacetime, caused by the acceleration of massive objects.

How were gravitational waves first detected?

Gravitational waves were first detected in 2015 by the Laser Interferometer Gravitational-Wave Observatory (LIGO), which uses laser beams to measure tiny distortions in spacetime caused by passing gravitational waves.

What are the potential applications of studying gravitational waves?

Studying gravitational waves can help us better understand the behavior of black holes, the origins of the universe, and the nature of gravity itself. It can also lead to the development of new technologies, such as more precise methods for measuring distances in space.

Can gravitational waves be used for communication?

No, gravitational waves cannot be used for communication as they are extremely weak and difficult to detect. Additionally, they are unable to carry information in a way that can be deciphered by humans.

What is the significance of the recent detection of gravitational waves from a neutron star collision?

The detection of gravitational waves from a neutron star collision in 2017 confirmed many theories about the behavior of these extreme objects and provided important insights into the production of heavy elements in the universe. It also marked the first time that both gravitational waves and electromagnetic waves (light) were detected from the same event, opening up new possibilities for multi-messenger astronomy.

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