A very fast pole vaulter lives in the country. One day, while practicing, he notices a 10.0-m-long barn with the doors open at both ends. He decides to run through the barn at 0.866c while carrying his 16.0-m-long pole. The farmer, who sees him coming, says, ??Aha! This guy??s pole is length contracted to 8.0 m. There will be a short interval of time when the pole is entirely inside the barn. If I??m quick, I can simultaneously close both barn doors while the pole vaulter and his pole are inside.?? The pole vaulter, who sees the farmer beside the barn, thinks to himself, ??That farmer is crazy. The barn is length contracted and is only 5.0 m long. My 16.0-m-long pole cannot fit into a 5.0-m-long barn. If the farmer closes the doors just as the tip of my pole reaches the back door, the front door will break off the last 11.0 m of my pole.??Can the farmer close the doors without breaking the pole? Show that, when properly analyzed, the farmer and the pole vaulter agree on the outcome. Your analysis should contain both quantitative calculations and written explanation.

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Farmer 16.0-m-long pole 0.866c 10.0-m-long barn FIGURE CP36.77