# Motion of Charged Particles

• lha08

## Homework Statement

Two horizontal metal plates, each 100 mm square, are aligned 10 mm apart, with one above the other. They are given equal-magnitude charges of opposite sign so that a uniform downward electric field of 2000 N/C exists in the region between them.
A particle of mass 2.00 X 10^-16 kg and with a positive charge of 1.00 X 10^-6 C leaves the center of the bottom negative plate with an initial speed of 1.00X 10^5 m/s at an angle of 37 degrees above the horizontal.
a) Describe the trajectory of the particle.
b) Which plate does it strike?
c) Where does it strike, relative to its starting point?

## The Attempt at a Solution

So firstly, I found the acceleration, which is -1X10^13 m/s^2. So that means that the trajectory first approaches the positive plate and then the acceleration pulls in down towards the positive plate. Does this make sense?
And for b) and c)...I don't know where to start...

## Answers and Replies

The particle describes the projectile motion.
Find the vertical and horizontal components of the velocity of the projection.
Using the kinematic equations, find maximum height reached, time of flight and range of the particle.