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If two objects start moving near the speed of light at the same speed, is the length between the two objects contracted?
Length contraction is between different frames, not between before and after they start to move. Whether the distance changes over time in some frame depends on how you accelerate them as observed in that frame.Scheuerf said:If two objects start moving near the speed of light at the same speed, is the length between the two objects contracted?
The distance between two objects certainly depends on the motion of both objects. This is the same in relativity as in Newtonian mechanics.Scheuerf said:Wouldn't this mean that an objects position after it is contracted is dependent on the movement of other objects?
The way to answer questions like this is to use the Lorentz Transformation and draw the results on a diagram. Otherwise, it is very difficult to imagine what Length Contraction is.Scheuerf said:If two objects start moving near the speed of light at the same speed, is the length between the two objects contracted?
Length contracting, also known as Lorentz contraction, is a phenomenon in special relativity where the length of an object appears shorter when viewed from a different frame of reference. This is due to the effects of time dilation and the constancy of the speed of light.
Length contracting occurs because of the relativity of simultaneity. In special relativity, time and space are intertwined, and an observer's perception of length is dependent on their frame of reference. When an object is moving at high speeds, time appears to slow down for the observer, causing the object to appear shorter in length.
The formula for calculating length contracting is L = L0√(1 - v2/c2), where L is the observed length, L0 is the rest length of the object, v is the relative velocity between the observer and the object, and c is the speed of light.
Yes, length contracting only occurs when an object is moving at speeds close to the speed of light. At lower speeds, the effects of length contracting are negligible and are not noticeable to the human eye.
One example of length contracting is the observation of a fast-moving train from a stationary platform. The train will appear shorter in length to the stationary observer due to the effects of length contracting. Another example is the existence of cosmic rays, which are high-energy particles that reach the Earth's surface from outer space. These particles are able to reach Earth because their high speeds cause them to contract in length, allowing them to travel longer distances in less time.