according to the concept of length contraction, what happens to the length of an object as it approaches the…

according to the concept of length contraction, what happens to the length of an object as it approaches the speed of light and then slows down, eventually coming to a stop?\nit is always observed as contracting.\nit is always observed as the same length.\nit is observed as expanding and then contracting back to its original length.\nit is observed as contracting and then expanding back to its original length.

according to the concept of length contraction, what happens to the length of an object as it approaches the speed of light and then slows down, eventually coming to a stop?\nit is always observed as contracting.\nit is always observed as the same length.\nit is observed as expanding and then contracting back to its original length.\nit is observed as contracting and then expanding back to its original length.

Answer

Answer:

D. It is observed as contracting and then expanding back to its original length.

Explanation:

Step1: Recall length - contraction formula

The length contraction formula is $L = L_0\sqrt{1-\frac{v^{2}}{c^{2}}}$, where $L$ is the observed length, $L_0$ is the proper length (length at rest), $v$ is the relative velocity of the object, and $c$ is the speed of light.

Step2: Analyze when approaching speed of light

As the object approaches the speed of light ($v\rightarrow c$), $\frac{v^{2}}{c^{2}}\rightarrow1$, and $\sqrt{1 - \frac{v^{2}}{c^{2}}}\rightarrow0$, so $L\rightarrow0$, i.e., the object is observed to contract.

Step3: Analyze when slowing down

As the object slows down ($v\rightarrow0$), $\frac{v^{2}}{c^{2}}\rightarrow0$, and $\sqrt{1-\frac{v^{2}}{c^{2}}}\rightarrow1$, so $L\rightarrow L_0$. The object expands back to its original length.