Chapter 17.3, Problem 30E

To determine

To determine:

An electron at rest at $P=\left(5,3,7\right)$ moves along a path ending at $Q=\left(1,1,1\right)$ under the influence of the electric field (in newton per coulomb)

$F\left(x,y,z\right)=400{\left(x^2+z^2\right)}^{-1}\langle x,0,z\rangle$.

(a) Find the potential function for F.

(b) What is the electron’s speed at point Q? Use Conservation of Energy and the value $q_e/m_e=-1.376\times {10}^{11}C/kg$, where q_e and m_e are the charge and mass on the electron, respectively.