contestada

A 2.05-m-long rod, as measured in its rest frame, speeds by you longitudinally at 6.01 x 107 m/s. You measure its length as it passes. By how many millimeters do you determine the rod has contracted?

Respuesta :

Answer:

40 mm

Explanation:

[tex]L_o[/tex]=Proper Length of rod = 2.05 m

Speed of rod = 6.01×10⁷ m/s

Length contraction

[tex]L=\sqrt{1-\frac{v^2}{c^2}}L_o\\\Rightarrow L=\sqrt{1-\frac{(6.01\times 10^7)^2}{(3\times 10^8)^2}}\times 2.05=2.00844[/tex]

Final Length will be 2.01 m

So length that is contracted is 2.05-2.01 = 0.04 m

The length is contracted by 40 mm.

Otras preguntas