1. an electron (q=16x10^-20 c, m=1x10^-30 kg) moving at half a megameter per second up the page enters a region with a uniform magnetic field of 1 t directed out of the page. find the initial magnetic force magnitude and direction (in page coordinates) on the particle and find the radius of the curve it will follow.

Explanation:

It is given that,

Charge on electron,

Mass of the electron,  

Speed of the electron,            

Magnetic field, B = 1 T (directed out of the page)

Let F is the magnetic force acting on the electron. It is given by :

Here,

Using the right hand rule, the direction of magnetic force is upward to the plane of the paper. Also, the electron will follow the circular path.  It is given by :

Hence, this is the required solution.                                    

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west