0
If mass increases to infinity as velocity approaches the speed of light how do particle accelerators handle the mass of particles at such high speeds?
The relativistic mass of the particle is given by the Lorentz factor multiplied by the rest mass: m' = m/(sqrt (1-(v2/c2)). The recently finished Large Hadron Collider is said to accelerate protons to about 99.999999% the speed of light, or 299,792,455 m/s. When this, the speed of light (299,272,458 m/s), and the mass of a proton (1.6726x10-27kg), are put into the equation, the relativistic mass comes out at about 1.1822x10-23 kg. Compared to masses encountered in every day life, this is quite miniscule.
What else can I help you with?
How does mass turn into infinity at the speed of light?
It doesn't - the object will never achieve the speed of light, since an infinite mass is not possible (it would require infinite energy). This only describes a tendency: as the object gets closer and closer to the speed of light, so, too, will its mass increase more and more, approaching infinity - this means there is no upper limit to the mass as the object approaches the speed of light.
What are the intervals of increase and decrease on a reciprocal parent function?
The reciprocal parent function, defined as ( f(x) = \frac{1}{x} ), increases on the interval ( (-\infty, 0) ) and decreases on the interval ( (0, \infty) ). Specifically, as ( x ) approaches zero from the left, ( f(x) ) approaches negative infinity, while as ( x ) moves right from zero, ( f(x) ) approaches positive infinity. Thus, the function has a vertical asymptote at ( x = 0 ), which separates these intervals of behavior.
What does the following phrase mean relating to the quantum theory. As the wavelength increase to infinity or decrease to zero the intensity of radiation is zero?
As the wavelength increases to infinity the electro-magnetic continuum take on a new base value and with no variation has no radiation to transmit. As the wavelength decreases to zero the energy packet become a massive body and therefore is no longer a radiating.
How much does a boot weigh?
Approximately 3kg on Io, but up to a whopping 34kg on Jupiter. But forget about weight, what about mass? Once the boot approaches the speed of light, its mass increases to almost infinity!
If the mass of an object approaches infinity as the object approaches the speed of light why doesn't light have infinite mass?
The statement that photons have zero mass refers to what is traditionally known as the "rest mass" - nowadays simply called the "mass", i.e., the one mass that all observers will agree upon.On the other hand, the "relativistic mass" is positive - and the ratio between this positive relativistic mass and the zero rest mass is infinite.
What is the limit as x approaches infinity of the square root of x?
What is the limit as x approaches infinity of the square root of x? Ans: As x approaches infinity, root x approaches infinity - because rootx increases as x does.
What is the value of log infinity?
The log(infinity) does not exist. It is impossible to evaluate because infinity is not a number. When evaluating limits infinity is a special case of a nonexistent limit. The limit of the log(x) as x approaches infinity is infinity because log(x) increases without bound when x gets extremely large.
What is e to the power infinity?
E to the power infinity, or lim en as n approaches infinity is infinity.
What is the end behavior of a function?
The end behavior of a function is how the function acts as it approaches infinity and negative infinity. All even functions such as x^2 approach infinity in the y-axis as x approaches infinity and odd functions such as x^3 approach positive infinity in the y- axis as x approaches positive infinity and negative infinity in the y- axis as x approaches negative infinity. If their is a negative leading coefficient then it is just flipped.
What is the range of the function fx log 2 3x 4?
The function ( f(x) = \log_2(3x + 4) ) has a range of all real numbers. As ( x ) approaches (-\frac{4}{3}) from the right, ( f(x) ) approaches negative infinity, and as ( x ) increases, ( f(x) ) approaches positive infinity. Therefore, the range is ( (-\infty, \infty) ).
How does mass turn into infinity at the speed of light?
It doesn't - the object will never achieve the speed of light, since an infinite mass is not possible (it would require infinite energy). This only describes a tendency: as the object gets closer and closer to the speed of light, so, too, will its mass increase more and more, approaching infinity - this means there is no upper limit to the mass as the object approaches the speed of light.
What is the limit of sin multiplied by x minus 1 over x squared plus 2 as x approaches infinity?
As X approaches infinity it approaches close as you like to 0. so, sin(-1/2)
Lim x approaches 0 x x x x?
When the limit of x approaches 0 x approaches the value of x approaches infinity.
What is the value of e power minus infinity?
The value of ( e^{-\infty} ) is 0. As the exponent approaches negative infinity, the expression ( e^{-x} ) (where ( x ) approaches infinity) tends towards zero. Therefore, ( e^{-\infty} = 0 ).
Does light create its own mass?
Light does not have mass. Remember, as an object's speed approaches the speed of light, its mass approaches infinity, therefore it will require infinite energy to accelerate something to the speed of light, therefore only massless particles can travel at light speed.
When does a problem in mathematics have no limit?
When the limit as the function approaches from the left, doesn't equal the limit as the function approaches from the right. For example, let's look at the function 1/x as x approaches 0. As it approaches 0 from the left, it travels towards negative infinity. As it approaches 0 from the right, it travels towards positive infinity. Therefore, the limit of the function as it approaches 0 does not exist.
Any number divided by infinity?
When any number is divided by infinity, the result approaches zero but never actually reaches it. This is because infinity is not a specific number but rather a concept representing unboundedness. Mathematically, the limit of any finite number divided by infinity as infinity approaches infinity is zero.
