Whenever we increase the velocity of a particle, the mass of he particle also

In summary: The equivalence of the two objects is a mathematical concept, but the two objects are not the same. So, too, mass and energy are equivalent, but they are not the same. The speed of light is invariant under the action of a force. If you increase the velocity of a particle, the mass of the particle also increases, but the speed of light is still invariant. This means that you can't travel faster than the speed of light, even if you increase the mass of the particle.
  • #1
aayushmittal
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I read somewhere than whenever we increase the velocity of a particle, the mass of he particle also increases. I also read that it is impossible reach the speed of light as the mass of the particle, just before reaching the speed of light, will become infinite (not infinite but very large) and a lot of force will be needed to increase the speed further which will only result in more increase in mass. Now, i have the following 2 questions-

1. Why do mass go on increasing? and-
2. what if we consider mass less particles? Which there will an increase in mass too? If no, then why can't they achieve the speed of light?
 
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  • #2


aayushmittal said:
2. what if we consider mass less particles? Which there will an increase in mass too? If no, then why can't they achieve the speed of light?

Hey, welcome to the forum. I would suggest that in future you think of a meaningful title for your posts, since that way you will attract more people who are interested in the subject you are asking about. "Please see below" is not helpful.

Massless particles ALWAYS travel at the universal speed limit (the same speed that light travels at).
 
  • #3


aayushmittal said:
2. what if we consider mass less particles? Which there will an increase in mass too? If no, then why can't they achieve the speed of light?
Massless particles (particles with zero invariant mass) already move at the speed of light.
 
  • #4
aayushmittal said:
1. Why do mass go on increasing?

The answer to your first question should answer an important distinction: the real mass of the particle is not increasing.

There is a danger of equivocation over 'equivalence' and 'sameness' in Einstein's famous equation. What is increasing is the total energy of the system. By analogy, we can say that dollar and a yen can be related in an equation (using the exchange-rate as a constant). But a dollar is not a yen.
 
  • #5


1. The concept of mass increasing as velocity increases is known as relativistic mass. It is a result of the theory of relativity, which states that the mass of an object is not constant but depends on its velocity. As an object moves faster, its energy also increases, and this increase in energy is equivalent to an increase in mass. This is why the mass of a particle increases as its velocity increases.

2. The same principle applies to particles with less mass. As they approach the speed of light, their energy increases, resulting in an increase in their mass. This means that even particles with very little mass will have a significant increase in mass as they approach the speed of light. This is why it is impossible for any particle, regardless of its mass, to reach the speed of light.

In conclusion, the increase in mass as velocity increases is a fundamental concept in the theory of relativity. It is not limited to particles with a certain mass, but applies to all particles as they approach the speed of light. This is why it is impossible for any particle to reach the speed of light.
 

1. What is the relationship between velocity and mass of a particle?

The relationship between velocity and mass of a particle is described by the principle of mass-energy equivalence, which states that as the velocity of a particle increases, its mass also increases.

2. Why does the mass of a particle increase when its velocity is increased?

This is due to the theory of special relativity, which states that as an object moves faster, its kinetic energy also increases. This increase in energy is equivalent to an increase in mass.

3. Is there a limit to how much a particle's mass can increase?

According to the theory of special relativity, there is no limit to how much a particle's mass can increase as its velocity approaches the speed of light. However, this becomes less and less significant as the particle's velocity approaches the speed of light.

4. Does the mass of a particle affect its velocity?

Yes, the mass of a particle affects its velocity through the equation E=mc^2, where E is the energy, m is the mass, and c is the speed of light. This equation shows that as the mass of a particle increases, its velocity must also increase in order to maintain the same amount of energy.

5. How does this principle apply to particles in the real world?

This principle applies to particles in the real world, such as subatomic particles and even larger objects like spacecraft. It helps explain why particles can become more massive as they approach the speed of light and why it takes more energy to accelerate an object as it approaches the speed of light.

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