Anyone help. I know I must be doing this wrong somehow(adsbygoogle = window.adsbygoogle || []).push({});

Lightning hits both a tree and a pole. The spacetime coordinates for each is (x=0, t=10us) for the tree and (x=30000m, t=10us) for the pole relative to the ground. Therefore they occur simultaneously relative to the ground. A rocket comes whizzing by at 0.5c in the x-direction. Find the spacetime coordinates relative to the rocket. Do the events happen simultaneously in the rocket's frame? (us is microseconds by the way)

First and foremost, I was able to find the factor y as y= 1/(1-.05^2)^.5 = 1.1547

Using Lorentz transformations

For the tree

x'= 1.1547 X [0 -(0.5c)(10us)]

= -1732.05m

t'=1.1547 X [10us -(0.5c)(0)/c^2]

= 11.547us

For the pole

x'= 1.1547 X [30000-(0.5c)(10us)]

= 32908.95

t'= 1.1547 X [10us - (0.5c)(30000)/c^2]

=-46.18us

What I want to know is why is x'(pole)-x'(tree)> 30000? Shouldn't the distance between both poles go through length contraction in the rocket's frame and therefore be shorter than 30000?

Please someone help

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Lorentz transformations

**Physics Forums | Science Articles, Homework Help, Discussion**