A plank, fixed to a sled at rest in a stationary frame S , is of length Lo and makes an angle of 44° with the x-axis. Later, the sled zooms through frame S at a constant velocity v parallel to the x-axis and the angle appears to be 60° relative to the x-axis in frame S . What is the speed of the sled in terms of c, the speed of light in vacuum?

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A plank, fixed to a sled at rest in a stationary frame S , is of length Lo and makes an angle of 44°
with the x-axis. Later, the sled zooms through frame S at a constant velocity v parallel to the x-axis and
the angle appears to be 60° relative to the x-axis in frame S . What is the speed of the sled in terms of c,
the speed of light in vacuum? 

-Lo-
44°
60
Figure 1: Problem 2.
Transcribed Image Text:-Lo- 44° 60 Figure 1: Problem 2.
Expert Solution
Step 1

Given:

The original length of the rod is L0

In the rest frame, the rod oriented in the angle is α = 440

When the frame moves with constant velocity, the rod is oriented at an angle that is β = 600

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