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An astronaut is connected to her spacecraft by a 25-m-long tethercord as she and

ID: 1680761 • Letter: A

Question

An astronaut is connected to her spacecraft by a 25-m-long tethercord as she and the spacecraft orbit Earth in a circular path at aspeed of 3.0 x 103 m/s. At one instant, the voltagemeasured between the ends of a wire embedded in the cord ismeasured to be 0.45V. Assume the long dimension of the cord isperpendicular to the vertical component of Earth's magnetic fieldat that instant. (a) What is the magnitude of the verticalcomponent of Earth's field at this location? (b) Does the measuredvoltage change as the system moves from one location toanother?

Explanation / Answer

the voltage induced in the tether is given by [vBl] this boxrepresents the box product

that is v.(BXdl)

this is =25*3*1000*vertical component of magnetic field=0.45V

we get B as 6*10^-6T

as the orientation changes force changes

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