Can someone define Relativistic Speed , Relativistic Time, and Relativistic Momentum? -Thanks in advance?

Answer 1

Einstein's theory of relativity deals with Newtonian physics when energies or velocities are near the speed of light. Relativity is usually thought of as modern physics since it was developed at the start of the 20th century and could only be tested in the realm available to scientists by high technology. However, relativity primarily completes the revolution that Newton started and is also highly deterministic as is much of classical physics.

Note::

- relativity resolves Newtonian physics at extreme energies.

- new type of science for the times since it required sophisticated technology to test.

- relativity redefined fundamental constants, such as mass and length, to be variable.

- these parameters did not become uncertain (quite the opposite) only relative.

- relativity is broken into two parts:

a) special relativity involving inertial frames.
b) general relativity involving accelerated or gravitational frames.

In the holistic viewpoint of relativity theory, concepts such as length, mass and time take on a much more nebulous aspect than they do in the apparently rigid reality of our everyday world. However, what relativity takes away with one hand, it gives back in the form of new and truly fundamental constants and concepts.
The theory of relativity is traditionally broken into two parts, special and general relativity. Special relativity provides a framework for translating physical events and laws into forms appropriate for any inertial frame of reference. General relativity addresses the problem of accelerated motion and gravity.

Since special relativity demonstrates that space and time are variable concepts, then velocity (which is space divided by time) becomes a variable as well. If velocity changes from reference frame to reference frame, then concepts that involve velocity must also be relative. One such concept is momentum, motion energy.
Momentum, as defined by Newtonian, can not be conserved from frame to frame under special relativity. A new parameter had to be defined, called relativistic momentum, which is conserved, but only if the mass of the object is added to the momentum equation.

This has a big impact on classical physics because it means there is an equivalence between mass and energy, summarized by the famous Einstein equation E=mc2.

The implications of this was not realized for many years. For example, the production of energy in nuclear reactions (i.e. fission and fusion) was shown to be the conversion of a small amount of atomic mass into energy. This led to the develop of nuclear power and weapons.

As an object is accelerated close to the speed of light, relativistic effects begin to dominate. In particular, adding more energy to an object will not make it go faster since the speed of light is the limit. The energy has to go somewhere, so it is added to the mass of the object, as observed from the rest frame. Thus, we say that the observed mass of the object goes up with increased velocity. So a spaceship would appear to gain the mass of a city, then a planet, than a star, as its velocity increased.

Likewise, the equivalence of mass and energy allowed Einstein to predict that the photon has momentum, even though its mass is zero. This allows the development of light sails and photoelectric detectors.

Note: Mass-Energy Equivalence

- if space and time are variable notions, the momentum must also be relative.

- in order to preserve conservation of energy, mass must be connected to momentum (i.e. energy).

- mass increases as one nears the speed of light, which explains the limit to the speed of light for material objects, you need infinite acceleration to move an infinitely increasing mass.

- mass-energy equivalence is perhaps the most fundamental discovery of the 20th century
photons have momentum, i.e. pressure = solar sails.

Special relativity and E=mc2 led to the most powerful unification of physical concepts since the time of Newton. The previously separate ideas of space, time, energy and mass were linked by special relativity, although without a clear understanding of how they were linked.

Spacetime and Energy:

- relativity unifies space, time, mass and energy.

The how and why remained to the domain of what is called general relativity, a complete theory of gravity using the geometry of spacetime. The origin of general relativity lies in Einstein's attempt to apply special relativity in accelerated frames of reference. Remember that the conclusions of relativity were founded for inertial frames, i.e. ones that move only at a uniform velocity. Adding acceleration was a complication that took Einstein 10 years to formulate.

Note:

- explanation provided by general relativity, where a complete theory of gravity is provided by using the geometry of spacetime.

Hope this helps simplify these concepts for you!






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Answer 2

Define Relativistic

Answer 3

Most scientists would say that a speed 10% of light is relativistic, others would say 20%. At 10%c, the relativistic correction for mass and length is 5.4%. At 20%c, it is 11.8% At 90%c, it is 216% At 99%c, it is 900% at 99.999%c, an object appears to be 315 times more massive, and 1/315 the length of its rest mass and size.

Answer 4

A problem or situation is relativistic, if the Newtonian calculations yield a significantly different result than the formulas of general relativity. With relative speeds of 0.1c, the difference is about 0.5%; at 0.5c, the difference is about 13.4%.

You have to decide how much difference is significant. If it makes the difference between orbiting on Mars or crashing into it, that's probably significant.

Answer 5

Relativistic-
physics moving close to speed of light: moving at a velocity approaching the speed of light, the point at which certain properties such as mass act in accordance with the theory of relativity
physics relating to relativity: relating to or characterized by relativity
philosophy relating to relativism: involving or characterized by relativism
Speed-
rate of movement or happening: the rate at which something moves, happens, or functions
rapidity: fast movement, progress, or operation
rate of movement irrespective of direction: rate of movement irrespective of direction. It is equal either to distance traveled divided by travel time, or to rate of change of distance with respect to time
Time-
.system of distinguishing events: a dimension that enables two identical events occurring at the same point in space to be distinguished, measured by the interval between the events. Symbol t
2. period with limits: a limited period during which an action, process, or condition exists or takes place
elapsed time

3. method of measuring intervals: a system for measuring intervals of time
sidereal time
Central Daylight Time

4. minute or hour: the minute or hour as indicated by a clock
What time is it?

5. time as a causative force: time conceived as a force capable of acting on people and objects
time’s ravages

6. moment something occurs: a moment or period at which something takes place
at the time of her 90th birthday

7. suitable moment: a moment or period chosen as appropriate for something to be done or to take place
The times for the games will be announced.

8. unallocated period: a period that is not allocated for a particular purpose
I had time on my hands

9. period needed: a period required, allocated, or taken to complete an activity
How much time?

10. period with a particular quality: a period, activity, or occasion that has a particular quality or characteristic (often used in the plural)
They’ve been through some rough times.
We had an interesting time there.

11. appointed moment: a designated or customary moment or period at which something is done or takes place
It’s time to get up.


Momentum-capacity for progressive development: the power to increase or develop at an ever-growing pace
The project was in danger of losing momentum.

2. forward movement: the speed or force of forward movement of an object
the momentum gained on the downhill stretches of the course

3. physics measure of movement: a quantity that expresses the motion of a body and its resistance to slowing down. It is equal to the product of the body’s mass and velocity. Symbol p
4. philosophy basic element: an essential part of a whole