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Chapter 36: Q. 10 (page 1059)

You are standing at x=9.0kmand your assistant is standing at x=3.0km.Lightning bolt 1strikes at x=0kmand lightning bolt 2strikes at x=12.0km.You see the flash from bolt 2at t=10μsand the flash from bolt 1att=50μs. 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, 20μsbefore bolt1.

Step by step solution

01

Given Information

I am standing at x=9.0kmand my assistant is standing at x=3.0km.

Lightning bolt 1strikes at x=0kmand lightning bolt 2strikes atx=12.0km.

The flash from bolt 1is at t=50μsand the flash from bolt 2is att=10μs.

02

Simply

Bolt hits away, so light takes to reach me. I see this flash at

So, the lightning hit at Light from bolt which hits away, takes to reach me.

I see it at so the lightning hit at

Bolt hits first, before bolt

Since, the assistant is in my inertial frame, she agrees that bolt hits first, before bolt

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