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Chapter 36: Q. 10 (page 1059)

You are standing at x=9.0kmand your assistant is standing a x=3.0kmLightning bolt 1strikes atx=0kmand a lightning bolt 2strikes atx=12.0km. You see the flash from bolt 2att=10msand the flash from bolt1att=50ms According to your assistant, were the lightning strikes simultaneous? If not, which occurred first, and what was the time difference between the two?

Short Answer

Expert verified

The assistant is in my inertial frame , she agrees that bolt 2hits first ,20渭s before bolt 1.

Step by step solution

01

Given Information 

We have given you are standing atx=9.0km, your assistant is standing at x=3.0km, Lightning bolt 1strikes atx=0km , the flash from bolt2att=10ms.

02

Explanation 

The bolt 1hits 9kmaway, then the light takes 30渭sto reach me. I see this flash at t=50渭.

Therefore, the lighting hit at t1=20渭s. Light from the bolt 2, which hits 3kmaway, takes to reach me.

I see it at 10渭s, so the lighting hit at role="math" localid="1650112197207" t2=0渭s.

Bolt 2hits first 20渭s before bolt 1.

Hence, the assistant is in my interial frame , she agrees that bolt 2hits first,20渭s before bolt1.

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