You are working in a factory that produces long bars of copper with a square cross section. In one section of the production process, the bars must slide down a plane inclined at an angle 0 = 24.0° to the horizontal. It has been found that the bars travel with too high a speed and become dented or bent when they arrive at the bottom of the plane and must be discarded. In order to prevent this waste, you devise a way to deliver the bars at the bottom of the plane at a lower speed. You replace the inclined plane with a pair of parallel metal rails, shown in the figure below, separated by a distance l = 2.50 m. B The smooth bars of mass m- 1.00 kg Will slide down the smooth rails, with the length of the bar always perpendicular to the rails. The rails are immersed in a magnetic field of magnitude B, and a resistor of resistance R = 1.55 N is connected between the upper ends of the rails. Determine the magnetic field necessary (in T) in your device so that the bars will arrive at the bottom of the plane with a maximum speed v = 1.00 m/s. (Enter the magnitude.)
You are working in a factory that produces long bars of copper with a square cross section. In one section of the production process, the bars must slide down a plane inclined at an angle 0 = 24.0° to the horizontal. It has been found that the bars travel with too high a speed and become dented or bent when they arrive at the bottom of the plane and must be discarded. In order to prevent this waste, you devise a way to deliver the bars at the bottom of the plane at a lower speed. You replace the inclined plane with a pair of parallel metal rails, shown in the figure below, separated by a distance l = 2.50 m. B The smooth bars of mass m- 1.00 kg Will slide down the smooth rails, with the length of the bar always perpendicular to the rails. The rails are immersed in a magnetic field of magnitude B, and a resistor of resistance R = 1.55 N is connected between the upper ends of the rails. Determine the magnetic field necessary (in T) in your device so that the bars will arrive at the bottom of the plane with a maximum speed v = 1.00 m/s. (Enter the magnitude.)
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Transcribed Image Text:You are working in a factory that produces long bars of copper with a square
cross section. In one section of the production process, the bars must slide
down a plane inclined at an angle 0 = 24.0° to the horizontal. It has been
found that the bars travel with too high a speed and become dented or bent
when they arrive at the bottom of the plane and must be discarded. In order
to prevent this waste, you devise a way to deliver the bars at the bottom of
the plane at a lower speed. You replace the inclined plane with a pair of
parallel metal rails, shown in the figure below, separated by a distance
l = 2.50 m.
B
m
The smooth bars of mass m = 1.00 kg Will slide down the smooth rails, with the
length of the bar always perpendicular to the rails. The rails are immersed in
a magnetic field of magnitude B, and a resistor of resistance R = 1.55 N is
connected between the upper ends of the rails. Determine the magnetic field
necessary (in T) in your device so that the bars will arrive at the bottom of
the plane with a maximum speed v = 1.00 m/s. (Enter the magnitude.)
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