An electron moves north (up) at a velocity of 3.8 ´ 105 m/s and has a magnetic force of 8.9 ´ 10–18 N west (left) exerted on it. What is the magnitude of the magnetic field?

or .

Explanation:

The right hand rule tells us that to produce a magnetic force directed towards west, the magnetic field must point straight up from the plane, and therefore and are perpendicular to each other and hence

Solving for we get

putting in , , and we get

which is also 146.4 micro Teslas.

98.4 m

explanation:

let s = distance up the plane  

then by conservation of energy  

1/2m(18.3)^2 = mg s sin(10)  

(18.3)^2 = 2g s sin(10)  

s = (18.3)^2/2gsin(10)  

= 98.39564526  

= 98.4 m