At the equator, near the surface of the earth, the magnetic field is approximately 50.0 µt northward, and the electric field is about 100 n/c downward in fair weather. find the gravitational, electric, and magnetic forces on an electron in this environment, assuming the electron has an instantaneous velocity of 5.90 ✕ 106 m/s directed to the east in this environment.

Explanation:

For gravitational force we know that

F = mg

now we have

Now electrostatic force

here we have

Now magnetic force on it is given by

i don't understand is there any other way you can rephrase it plz let me know in the comments and i will do it.

explanation:

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