This produces a different signal when the particle goes through a coil, an experimentally verified effect of length contraction. The distance to the grocery shop does not seem to depend on whether we are moving or not.
But length contraction is real, if not commonly experienced. For example, a charged particle, like an electron, traveling at relativistic velocity has electric field lines that are compressed along the direction of motion as seen by a stationary observer.
See Figure 4. As the electron passes a detector, such as a coil of wire, its field interacts much more briefly, an effect observed at particle accelerators such as the 3 km long Stanford Linear Accelerator SLAC. In fact, to an electron traveling down the beam pipe at SLAC, the accelerator and the Earth are all moving by and are length contracted.
The relativistic effect is so great than the accelerator is only 0. It is actually easier to get the electron beam down the pipe, since the beam does not have to be as precisely aimed to get down a short pipe as it would down one 3 km long. This, again, is an experimental verification of the Special Theory of Relativity.
To an Earth-bound observer, the distance it travels is 2. Skip to main content. Special Relativity. Search for:. Length Contraction Learning Objectives By the end of this section, you will be able to: Describe proper length. Calculate length contraction. Proper Length Proper length L 0 is the distance between two points measured by an observer who is at rest relative to both of the points. Example 1. She travels from the Earth to the nearest star system, Alpha Centauri, 4. How far apart are the Earth and Alpha Centauri as measured by the astronaut?
In terms of c , what is her velocity relative to the Earth? You may neglect the motion of the Earth relative to the Sun. See Figure 3. Conceptual Questions To whom does an object seem greater in length, an observer moving with the object or an observer moving relative to the object? Relativistic effects such as time dilation and length contraction are present for cars and airplanes.
Imagine you're walking down the street and you record how far you travel every second. The time is what you are "inputting" and your distance travelled is your "output.
You are looking at a graph of the motion of a vehicle. On the y-axis is displacement and on the x-axis is time. Which of the following is the independent variable? Independent variables are predetermined by the experimenter and can be manipulated to change the measured dependent variable. Independent variables are generally graphed on the x-axis, while dependent variables are generally graphed on the y-axis.
In this question, time is the independent variable and displacement is the dependent variable. The experimenter can select sampling times, but cannot necessarily predict the displacement that will be measured at each point. This defines time as the independent variable. The independent variable is controlled by the experimenter, while the dependent variable will fluctuate based on independent variable inputs.
The independent variable is always displayed on the x-axis of a graph, while the dependent variable appears on the y-axis. Time is a common independent variable, as it will not be affeced by any dependent environemental inputs. Time can be treated as a controllable constant against which changes in a system can be measured.
If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.
Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney. Hanley Rd, Suite St. Louis, MO We are open Saturday and Sunday! Subject optional. Email address: Your name:. Possible Answers: Neither variable is independent.
Correct answer: Time. Problems on Calculating Time. Two Objects Move in Same Direction. Two Objects Move in Opposite Direction. Train Passes through a Pole. Train Passes through a Bridge. Two Trains Passes in the Same Direction. Two Trains Passes in the Opposite Direction. Didn't find what you were looking for?
Or want to know more information about Math Only Math. Use this Google Search to find what you need. Worksheet on Conversion of Units of Speed. Worksheet on Calculating Time.
0コメント