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(8c28p44) A metal wire of mass m = 0.300 kg slides without friction on two horiz

ID: 2261041 • Letter: #

Question

(8c28p44) A metal wire of mass m = 0.300 kg slides without friction on two horizontal rails spaced a distance d = 0.44 m apart, as in the figure. The track lies in a vertical uniform magnetic field B = 0.90 T. There is a constant current i = 0.30 A through generator G, along one rail, across the wire, and back down the other rail. Find the speed and direction of the wire's motion as a function of time, assuming it to be stationary at t = 0. Evaluate for t = 0.5 s. Take positive to the right and negative to the left.

(8c28p44) A metal wire of mass m = 0.300 kg slides without friction on two horizontal rails spaced a distance d = 0.44 m apart, as in the figure. The track lies in a vertical uniform magnetic field B = 0.90 T. There is a constant current i = 0.30 A through generator G, along one rail, across the wire, and back down the other rail. Find the speed and direction of the wire's motion as a function of time, assuming it to be stationary at t = 0. Evaluate for t = 0.5 s. Take positive to the right and negative to the left.

Explanation / Answer

acceleration


a = ILB/m

a= (0.30* 0.44*0.90) / (0.500)

a= 0.2376 m/s^2


v(0.5 s) = 0.5a

= 0.5*0.2376

=0.1118 m/s