Relativistic Orange

Classical Mechanics Level 2

Let a square shaped hole of side length $a$ in the $xy$ plane and an spherical orange of radius $\frac{3a}{2}$ moving with constant speed $\vec{v}=v \hat{k}$ along the $z$ axis.

It is known that for if $v$ is comparable with $c$ (speed of light at vaccum) is observable the phenomenon of length contraction . Is there any value of $v$ for which the orange can pass from one side to another of the $xy$ plane?

Details and assumptions: Do not consider the quantum case.

Yes No

1 solution

Hjalmar Orellana Soto
Feb 2, 2019

As the motion of the orange is in the $z$ direction, there is not length contraction in the $xy$ plane, so there is no value of $v$ for which the orange can, classicaly, pass from one side to another of the $xy$ plane.

Relativistic Orange

1 solution

0 pending reports