An observer moving at a speed of 0.995c relative to a rod (see figure below) measures its length to be x = 2.20 m and sees its length to be oriented at 0 = 33.0° with respect to its direction of motion. 8 Motion of observer (a) What is the proper length of the rod? m (b) What is the orientation angle in a reference frame moving with the rod?

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An observer moving at a speed of 0.995c relative to a rod (see figure below) measures its length to be \( x = 2.20 \, \text{m} \) and sees its length to be oriented at \( \theta = 33.0^\circ \) with respect to its direction of motion.

[Diagram of a rod titled with θ, angle between the rod and the direction of motion.]

**Motion of Observer \( \to \)**

---

(a) What is the proper length of the rod?  
[Input Box] m

(b) What is the orientation angle in a reference frame moving with the rod?  
[Input Box] °
Transcribed Image Text:An observer moving at a speed of 0.995c relative to a rod (see figure below) measures its length to be \( x = 2.20 \, \text{m} \) and sees its length to be oriented at \( \theta = 33.0^\circ \) with respect to its direction of motion. [Diagram of a rod titled with θ, angle between the rod and the direction of motion.] **Motion of Observer \( \to \)** --- (a) What is the proper length of the rod? [Input Box] m (b) What is the orientation angle in a reference frame moving with the rod? [Input Box] °
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