Going the speed of light, possibly.

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SUMMARY

The discussion clarifies misconceptions about the speed of sound and the speed of light, emphasizing that sound does not travel faster than its medium, regardless of the emitter's speed. It highlights the principles of special relativity, specifically the velocity addition formula, which states that at relativistic speeds, velocities cannot be simply added. The formula provided, ##\frac{u+v}{1+uv/c^2}##, accurately calculates the speed of a bullet fired from a moving car, demonstrating that sound and light operate under different physical laws.

PREREQUISITES
  • Understanding of special relativity
  • Familiarity with the speed of sound in various media
  • Knowledge of the velocity addition formula
  • Basic principles of wave propagation
NEXT STEPS
  • Study the implications of Einstein's theory of special relativity
  • Research the speed of sound in different mediums, such as air and water
  • Explore the velocity addition formula in detail
  • Investigate the differences between sound waves and electromagnetic waves
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of relativity and wave mechanics.

DrWafflez Jr.
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I have a question, my bestfriends dad said that if we were driving at 70 mph and then honked the horn, the sound would go 70 mph + the speed of sound. So the obvious question, if that is true can we go the speed of light? But sound is the vibrations of atoms? Does that mean the atoms would have to bump into each other at the speed of light? Last but not least can this be accomplished with a gun being shot or something of the sort? Thanks in advance
 
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DrWafflez Jr. said:
So the obvious question, if that is true can we go the speed of light?

No. At relativistic speeds, you can not add velocities like you usually do, because of special relativity. See Velocity-addition formula (Wiki) and Einstein Velocity Addition (HyperPhysics).
 
Last edited:
Your friend is incorrect, the speed of sound through a medium is not affected by the speed of the emitter.
 
DrWafflez Jr. said:
I have a question, my bestfriends dad said that if we were driving at 70 mph and then honked the horn, the sound would go 70 mph + the speed of sound. ... Last but not least can this be accomplished with a gun being shot or something of the sort? Thanks in advance

Honk the horn and the sound will travel at the speed of sound no matter the speed of the source - sound waves have a particular speed in the air and that's the speed the move at.

Fire a bullet forward from a moving car and the speed of the bullet relative to the ground will be given by the velocity addition formula DennisN mentions (##\frac{u+v}{1+uv/c^2}##) where ##u## is the speed of the car relative to the ground and ##v## is the muzzle velocity of the bullet. For cars and bullets and other slow-moving objects (here "slow-moving" means not tens of thousands of miles a second) this formula reduces to the ##u+v## that common sense tells us to expect.
 

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