Answered: why is the answer not negative? Where…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter30: Magnetic Fields And Forces

Section: Chapter Questions

Problem 43PQ

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I just need to clarify something. Thank you in advance for helping me.

so this is the question.

and attached herewith, is its solution, however i do not get it why is the answer not negative? Where in the charge of an electron is negative?and how is north incorporated in the problem? Can you please explain ? Thank youuuuu i would really appreciate it.

At a certain location, the x-component of Earth’s magnetic field is 6.5 x 10 ⁶ T, due north. An electron moves westward with a speed sufficient to balance its weight. What is the speed of this electron?

Magnetic field, B = 6.5 x 10 ° T, due north, charge, q =
6.
1.6 x 10-19
C, mass, m= 9.1 x 1031
kg,
Angle, A= 90°
Weight is balanced by the magnetic force
mg = q v B sin 90°
9.1 x 10-31 x 9. 8 = × v x 6. 5 × 106
1.6 x 10-19
v = 8,575 × 10-18 m/s

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