An experimenter stands along a line between two firecrackers that are 1500 m apart. The two firecrackers explode simultaneously. She sees the flash of the light from the firecracker to her left 1.0 μs before she sees the flash from the firecracker to her right. Where is the experimenter standing?

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An experimenter stands along a line between two firecrackers that are 1500 m apart. The two firecrackers explode simultaneously. She sees the flash of the light from the firecracker to her left 1.0 μs before she sees the flash from the firecracker to her right. Where is the experimenter standing?

Expert Solution
Step 1

This is a problem related to Distance, time, and speed.

The formula that we are going to use is,

Speed=DistanceTime   Time=DistanceSpeed   

Let the experimenter is at distance x from the left firecracker.

Advanced Physics homework question answer, step 1, image 1

Therefore, the distance between the experimenter and firecracker at the right is 1500-x.

The t1 time taken by the light from the left firecracker to reach the experimenter is,

t1=xc                                                  where, c-Speed of light                                  ...(1)

The t2 time taken by the light from the right firecracker to reach the experimenter is,

t2=1500-xc                                                  where, c-Speed of light                       ...(2)

In the above question, It is given that She sees the flash of the light from the firecracker to her left 1.0 μs before she sees the flash from the firecracker to her right.

t2-t1=1 μs1500-xc-xc=1×10-6 s                                                                                              ...(3)

 

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