An insulated wire with mass m = 5.40 X 10-5 kg is bent into the shape of an inverted U such that the horizontal part has a length I = 15.0 cm. The bent ends of the wire are partially immersed in two pools of mercury, with 2.5 cm of each end below the mercury's surface. The entire structure is in a region containing a uniform 0.00650-T magnetic field directed into the page (Fig). An electrical connection from the mercury pools is made through the ends of the wires. The mercury pools are connected to a 1.50-V battery and a switch S. When switch S is closed, the wire jumps 35.0 cm into the air, measured from its initial position.
(a) Determine the speed v of the wire as it leaves the mercury.
(b) Assuming that the current I through the wire was constant from the time the switch was closed until the wire left the mercury, determine I.
(c) Ignoring the resistance of the mercury and the circuit wires, determine the resistance of the moving wire.

Transcribed Image Text:

1.50 V Mercury Mercury