The figure shows a right-angled construction frame ABC. When measured at rest, i

Question

The figure shows a right-angled construction frame ABC. When measured at rest, it has dimensions as follows: AB = 18.9 m, AC = 10.0 m, and BC = 16.0 m. This frame is now given a new velocity of 0.420c, relative to Earth, in a direction parallel to AC. How long is part BC of this frame with the new velocity as measured by Earth-based engineers?

16.0 m

14.0 m

12.0 m

10.0 m

18.0 m

The figure shows a right-angled construction frame ABC. When measured at rest, it has dimensions as follows: AB = 18.9 m, AC = 10.0 m, and BC = 16.0 m. This frame is now given a new velocity of 0.420c, relative to Earth, in a direction parallel to AC. How long is part BC of this frame with the new velocity as measured by Earth-based engineers?

16.0 m

14.0 m

12.0 m

10.0 m

18.0 m

Explanation / Answer

Solution:

Length contraction is given by L = Lo(1-v^2/c^2) .

This happens only for motion along the direction Parallel to the length. The length contraction happens only for AC.

Therefore the length of BC = 16m only as original.

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