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Unreasonable Results(a) Find the value of $\gamma$ for the following situation. An Earth-bound observer measures 23.9 $\mathrm{h}$ to have passed while signals from a high-velocity space probe indicate that 24.0 $\mathrm{h}$ have passed on board. (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?

(a) $\gamma=0.996$(b) $\gamma<1$(c) $\Delta t_{0}>\Delta t$

Physics 103

Chapter 28

Special Relativity

Relativity

University of Washington

Simon Fraser University

McMaster University

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well, time major by an art bond observer is Delta t not, And it's equal to 23.9 ours and time measurement by ahhh I lost. The space probe is a delta T and Delta T is equal to 24 hours. Well, the relationship between Delta t not in Delta T is Delta T is equal to delta t not divided by a square root off one minus b squared, divided by C square. Um, and the logistic factor gamma is given by one divided by the square root off one minus We squared, divided by C squared. Ah, here sees the speed of light and delta t can also be written. These government times give to t not And, uh uh here, go on. Bicycle to Delta t not divided by Delta T Let's plug in the values. Uh, gum icicle too. 23.9. Ours to body by 24 ours. And this gives a suit a point. Mine 96 So Graham is equal to 0.9 mine six. Well, uh, here gum is less than one, which is impossible. Well, comma, less than one imply state. We is greater than C but nothing can travel faster than light. Therefore, it is not possible. The latest ick factor cannot be less than one and appropriate time identity not Ah uh is unreasonable. Or we can say it is inconsistent because this is larger than the logistic time Delta T eso Let me summarize the results. Uh, gamma is equal to 0.996 r b Come on his list in one. That's not possible. And I almost see we get dealt a teen Art is great of them Delta T.

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