An electron traveling from the sun as part of the solar windstrikes the earth’s magnetosphere at latitude 80.0° N in a region wherethe magnetic field has a strength of 15.0 mT and is directed toward theearth’s center. The electron has a speed of 400 km/s and is directed towardthe earth’s axis parallel to the equator. Magnetic forces send theelectron on a helical trajectory. This electron strikes the ionosphere, where it is furtheraccelerated by an electric field with strength 20.0 mV/m directednorthward parallel to the earth’s surface. What is the electron’s newspeed after it has been deflected 100 km southward by this field?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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An electron traveling from the sun as part of the solar wind
strikes the earth’s magnetosphere at latitude 80.0° N in a region where
the magnetic field has a strength of 15.0 mT and is directed toward the
earth’s center. The electron has a speed of 400 km/s and is directed toward
the earth’s axis parallel to the equator. Magnetic forces send the
electron on a helical trajectory. This electron strikes the ionosphere, where it is further
accelerated by an electric field with strength 20.0 mV/m directed
northward parallel to the earth’s surface. What is the electron’s new
speed after it has been deflected 100 km southward by this field?

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