. We invent a new way to synchronize clocks. Two clocks, each with a button on cop, are placed on a table some distance apart. Each starts at zero when its button is pressed. A long stick, oriented horizontally, is held at rest above the two clocks and then released. The stick falls and hits both buttons, starting both clocks. Since the falling stick remained horizontal, the buttons are pressed simultaneously, so the clocks are synchronized in their rest frame. Now view the procedure in a frame moving from left to right at speed V. Wouldn't the buttons also be pressed simul- aneously in this frame as the stick falls, so wouldn't the clocks be synchronized in the new frame as well as the frame of the table? So doesn't this violate the leading- clocks-lag rule, since the clock on the right is leading the clock on the left in this frame? Are the clocks synchronized or not in this frame?
. We invent a new way to synchronize clocks. Two clocks, each with a button on cop, are placed on a table some distance apart. Each starts at zero when its button is pressed. A long stick, oriented horizontally, is held at rest above the two clocks and then released. The stick falls and hits both buttons, starting both clocks. Since the falling stick remained horizontal, the buttons are pressed simultaneously, so the clocks are synchronized in their rest frame. Now view the procedure in a frame moving from left to right at speed V. Wouldn't the buttons also be pressed simul- aneously in this frame as the stick falls, so wouldn't the clocks be synchronized in the new frame as well as the frame of the table? So doesn't this violate the leading- clocks-lag rule, since the clock on the right is leading the clock on the left in this frame? Are the clocks synchronized or not in this frame?
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Quantitatively answer the following.
Transcribed Image Text:We invent a new way to synchronize clocks. Two clocks, each with a button on
top, are placed on a table some distance apart. Each starts at zero when its button
is pressed. A long stick, oriented horizontally, is held at rest above the two clocks
and then released. The stick falls and hits both buttons, starting both clocks. Since
the falling stick remained horizontal, the buttons are pressed simultaneously, so
the clocks are synchronized in their rest frame. Now view the procedure in a frame
moving from left to right at speed V. Wouldn't the buttons also be pressed simul-
taneously in this frame as the stick falls, so wouldn't the clocks be synchronized in
the new frame as well as the frame of the table? So doesn't this violate the leading-
clocks-lag rule, since the clock on the right is leading the clock on the left in this
frame? Are the clocks synchronized or not in this frame?
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