A person in a spaceship holds a meter stick parallel to the...

A person in a spaceship holds a meter stick parallel to the motion of the ship as it passes by the Earth with $\gamma=2 .$ What length does an observer at rest on the Earth measure for the meter stick? a) $2 \mathrm{~m}$ c) $0.5 \mathrm{~m}$ e) none of the above b) $1 \mathrm{~m}$ d) $0.0 \mathrm{~m}$

A person in a spaceship holds a meter stick parallel to the motion of the ship as it passes by the Earth with $\gamma=2 .$ What length does an observer at rest on the Earth measure for the meter stick?
a) $2 \mathrm{~m}$
c) $0.5 \mathrm{~m}$
e) none of the above
b) $1 \mathrm{~m}$
d) $0.0 \mathrm{~m}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Special Relativity

Special Relativity is a theory formulated by Einstein that revolutionized our understanding of space and time. It introduces the idea that the laws of physics are the same in all inertial frames and that measurements of time and space depend on the relative motion between observers.

Lorentz Factor (?)

The Lorentz factor, denoted by ?, quantifies the amount of time dilation and length contraction experienced by objects moving at a significant fraction of the speed of light. It is defined as ? = 1/?(1 - v²/c²), where v is the relative velocity between observers, and it plays a central role in the transformation of measurements between inertial frames.

Length Contraction

Length contraction is a counterintuitive phenomenon predicted by Special Relativity where an object in motion relative to an observer is measured to be shorter along the direction of its motion than when measured in its rest frame. The observed length is related to the proper length by the factor 1/?.

Proper Length

The proper length is the length of an object measured in the frame in which the object is at rest. It is the maximum length of the object, and moving observers will measure a contracted length due to the effects of Special Relativity.

Transcript

Please give Ace some feedback