Physics

Problem

A particle with charge

+2.0\,\mu\text{C}

and mass

3.0 \times 10^{-6}\,\text{kg}

is launched from

x = 0

with speed

15\,\text{m/s}

along the

+x

direction in a region where the electric potential varies with position according to

V(x)= (1.8 \times 10^{3}\,\text{V/m}^{2})\,x^{2}

. Determine the maximum

x

-coordinate the particle reaches before coming to rest momentarily.