In our frame of reference, a meterstick is moving in a straight horizontal line parallel to the orientation of the stick itself. A metal plate with a 1-meter-diameter circular hole in it is rising vertically, perpendicular to the stick, as shown below. Suppose that both the meterstick and plate have negligible thickness, and that at some instant the center of the meterstick is projected to coincide with the center of the hole. The meterstick is moving so fast in our frame that it has the Lorentz- contracted length of 10 cm, and so should easily fit through the 1-meter hole in the rising plate, and so should later be found beneath the plate. In the rest frame of the tick, however, the stick is 1 meter long, while the plate is moving so rapidly in the opposite horizontal direction that the hole is Lorentz contracted to 10 cm. Therefore he one-meter stick should not be able to fit through the 10 cm hole, so cannot later be found beneath the plate. Does the stick get through the hole or not? Explain n both reference frames.
In our frame of reference, a meterstick is moving in a straight horizontal line parallel to the orientation of the stick itself. A metal plate with a 1-meter-diameter circular hole in it is rising vertically, perpendicular to the stick, as shown below. Suppose that both the meterstick and plate have negligible thickness, and that at some instant the center of the meterstick is projected to coincide with the center of the hole. The meterstick is moving so fast in our frame that it has the Lorentz- contracted length of 10 cm, and so should easily fit through the 1-meter hole in the rising plate, and so should later be found beneath the plate. In the rest frame of the tick, however, the stick is 1 meter long, while the plate is moving so rapidly in the opposite horizontal direction that the hole is Lorentz contracted to 10 cm. Therefore he one-meter stick should not be able to fit through the 10 cm hole, so cannot later be found beneath the plate. Does the stick get through the hole or not? Explain n both reference frames.
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From the provided information, show whether or not the stick will get through the hole.
Transcribed Image Text:In our frame of reference, a meterstick is moving in a straight horizontal line
parallel to the orientation of the stick itself. A metal plate with a 1-meter-diameter
circular hole in it is rising vertically, perpendicular to the stick, as shown below.
Suppose that both the meterstick and plate have negligible thickness, and that at
some instant the center of the meterstick is projected to coincide with the center
of the hole. The meterstick is moving so fast in our frame that it has the Lorentz-
contracted length of 10 cm, and so should easily fit through the 1-meter hole in the
rising plate, and so should later be found beneath the plate. In the rest frame of the
stick, however, the stick is 1 meter long, while the plate is moving so rapidly in the
opposite horizontal direction that the hole is Lorentz contracted to 10 cm. Therefore
the one-meter stick should not be able to fit through the 10 cm hole, so cannot later
be found beneath the plate. Does the stick get through the hole or not? Explain
in both reference frames.
Transcribed Image Text:POTEN
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