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Presentation transcript:

When ready, begin the Slide Show (press F5) on this slide. To progress through a slide, press the down arrow or right arrow key. To go back, press the up or left arrow.

Farmer Brown carries a Ladder (rest length 5 m) into a Barn (rest length 4 m) The relative speed of the Ladder and the Barn is 0.8c

Cow’s frame: A (smart) cow is standing next to the Barn. Cow measures the Barn to be 4 m. Cow measures Ladder (which is length contracted) to be 3 m.

Farmer Brown’s frame: Farmer Brown is holding the Back of the Ladder. Farmer Brown measures the Ladder to be 5 m. Farmer Brown measures Barn (which is length contracted) to be 2.4 m.

Question: Who is correct? Puzzler: Does the Ladder fit in the Barn? According to Cow, Ladder is 3 m and Barn is 4 m (can fit) According to Farmer, Ladder is 5 m and Barn is 2.4 m (can’t fit) Question: Who is correct? The Farmer? The Cow? Neither the Farmer nor the Cow? Both the Farmer and the Cow? Consider the following events -- A: Front of Ladder passes Entrance to Barn B: Front of Ladder passes Exit to Barn C: Back of Ladder passes Entrance to Barn D: Back of Ladder passes Exit to Barn

A  C  B  D Cow’s Frame A: Front of Ladder passes Entrance to Barn C: Back of Ladder passes Entrance to Barn B: Front of Ladder passes Exit to Barn D: Back of Ladder passes Exit to Barn A  C  B  D

A  C  B  D Cow’s Frame t (ns) x (m) 1 2 3 (10 lt-ns) 5 6 (20 lt-ns) t (ns) 10 ns 20 ns 4 Entrance to Barn Exit to Barn D D: Back of Ladder passes Exit to Barn Back of Ladder v = 0.8c  INVERSE SLOPE of world-line B B: Front of Ladder passes Exit to Barn A  C  B  D Front of Ladder C C: Back of Ladder passes Entrance to Barn A A: Front of Ladder passes Entrance to Barn

A  B  C  D Farmer’s Frame A: Front of Ladder passes Entrance to Barn B: Front of Ladder passes Exit to Barn C: Back of Ladder passes Entrance to Barn D: Back of Ladder passes Exit to Barn A  B  C  D

Farmer’s Frame t (ns) x (m) D Back of Ladder Front of Lader 1 2 3 (10 lt-ns) 5 6 (20 lt-ns) t (ns) 10 ns 20 ns 4 Back of Ladder Front of Lader Farmer’s Frame D D: Back of Ladder passes Exit to Barn Exit to Barn C C: Back of Ladder passes Entrance to Barn Entrance to Barn A A: Front of Ladder passes Entrance to Barn B B: Front of Ladder passes Exit to Barn