Is that something you could work out for yourself? Using the transformation of acceleration from one frame to another, perhaps.LagrangeEuler said:Thanks. And can exist inertial frame of reference ##S'## in which acceleration is not constant if in the system ##S## acceleration is constant?
Yes, exactly.LagrangeEuler said:I think that if one system acceleration is constant in the system that moves with velocity ##u## relative to this one acceleration will not be constant, because in formula for acceleration is velocity of moving object that changes from point to point.
Acceleration in special theory of relativity refers to the change in velocity of an object over time, taking into account the principles of relativity. It is a measure of how quickly an object's velocity is changing in a specific direction.
In classical mechanics, acceleration is defined as the rate of change of an object's velocity in an inertial reference frame. However, in special theory of relativity, acceleration is relative to the observer's frame of reference and is affected by the principles of relativity, such as time dilation and length contraction.
No, according to special theory of relativity, an object with mass cannot reach the speed of light. As an object's velocity increases, its mass also increases, making it more difficult to accelerate. As the object approaches the speed of light, its mass would become infinite, requiring an infinite amount of energy to continue accelerating.
Acceleration affects time in special theory of relativity through time dilation. As an object's velocity increases, time appears to slow down for the object relative to an observer at rest. This means that an object accelerating at high speeds will experience time at a slower rate compared to an observer at rest.
Acceleration plays a crucial role in the theory of relativity as it is a fundamental concept in understanding the principles of relativity. It helps explain how time, distance, and mass are affected by an object's velocity and how these concepts are relative to the observer's frame of reference. Acceleration also helps reconcile the differences between classical mechanics and special theory of relativity.