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Bjorn is standing at x=600m. Firecracker 1explodes at the origin and firecracker2explodes at x=900m. The flashes from both explosions reach Bjorn’s eye at t=3.0μs. At what time did each firecracker explode?

Short Answer

Expert verified

We have given that, Bjorn is standing at x=600m.

Firecracker1explodes at the origin and firecracker explodes at x=900m.

The flashes from both explosions reach Bjorn’s eye at t=3.0μs.

t2=1.0μsLight left firecracker 2explode att2=2μs.

Step by step solution

01

Given Information

We have given that, Bjorn is standing at x=600m.

Firecracker1explodes at the origin and firecracker explodes at x=900m.

The flashes from both explosions reach Bjorn’s eye at t=3.0μs.

02

Simply

Bjorn is 600maway from the source. It takes 2.0μsfor light to reach Bjorn.

t=600speedoflightt=6003×108t=2×10-6st=2μ²õ

This flash arrived at Bjorn at t=2.0μsleaving firecracker at t1=1.0μs.

t2=3003×108t2=10-6t2=1μs

It takes 1.0μsfor the flash from Firecracker 2to reach Bjorn.

Light left firecracker 2at t2=1.0μs.

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