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How to add momentums in special theory of relativity? Is there same principle? And how to adding momentum in Double special relativity?
The sum of two four-momenta is the four-momentum formed by summing each component. I.e. standard vector addition.albatros said:How to add momentums in special theory of relativity?
Momentum is a physical quantity that describes the motion of an object. It is defined as the product of an object's mass and its velocity.
Momentum is a measure of an object's inertia, or resistance to change in motion. The more momentum an object has, the harder it is to change its velocity.
In STR, momentum is calculated using the equation p = mv, where p is momentum, m is mass, and v is velocity. However, this equation only applies to objects with non-relativistic speeds.
In DSR, momentum is calculated using the modified equation p = (m0v)/√(1-v^2/c^2), where p is momentum, m0 is the rest mass of the object, v is velocity, and c is the speed of light. This equation accounts for relativistic speeds and is a more accurate representation of momentum in DSR.
Momentum is an important concept in both STR and DSR because it helps us understand the behavior of objects in motion. In STR, momentum is used to explain the effects of mass and velocity on an object's motion. In DSR, momentum is crucial to accurately describe the motion of objects with relativistic speeds.