We will model a molecular accelerator as parallel plate capacitor with plate spacing d=1m and plate area A=0.01m^(2). In each plate is a small hole that allows the molecule to pass in a straight line but does not affect the electric field.
The plates are initially uncharged with Q=0. A singly-ionized molecule of urea (molecular mass 9.97\times 10^(-26)kg, charge q=+e ) enters from the left with an initial velocity of v_(0)=500(m)/(s). Once the molecule crosses the hole in the left side plate, the plates are rapidly charged up (assume this is instantaneous) to a charge Q= 1\mu C.
Determine the final velocity of the molecule v_(1) when it reaches the hole in the right side plate.
Hint: You can do this question using electric field, force, and acceleration, or with electric potential, potential energy, and kinetic
energy.