Solving for the Direction of an Electron in a Magnetic Field

[phy112]

Homework Statement

An electron moves with speed 9.50 105 m/s in a uniform magnetic field of 4.4 T, pointing south. At one instant, the electron experiences an upward magnetic force of 3.40 10-14 N. In what possible directions might the electron be moving at that instant? Give your answers as angles clockwise from south (from 0° to 360°), in increasing degrees.

Homework Equations

F=qB(vsin theta)

The Attempt at a Solution

I keep trying to plug all the knowns into this equation but i cannot seem to find the right answer.
3.4e-14=(1.6e-19)(4.4)(9.5e5sin theta) and find inverse.

the 2 answers should be clockwise from south

 

[tiny-tim]

Hi phy112!

(have a theta: θ )

3.4e-14=(1.6e-19)(4.4)(9.5e5sin theta) and find inverse.

the 2 answers should be clockwise from south

just solve for sinθ … should give you two answers

 

[phy112]

i did that and got an angle of 2.91. that isn't right though. i am wondering if there is another step I am missing.

 

[tiny-tim]

You should have got two angles.

 

[phy112]

arent the two angles the same??