Answer
a) $\vec{E}=-74\frac{KV}{m}\hat{y}$
b) $\Delta V=1.8KV$
c) Top plate
Work Step by Step
(a) We know that
$E=vB$
$\implies \vec{E}=-vB\hat{y}$
$\implies \vec{E}=-(1.42\times 10^5)(0.52)\hat{y}$
$\vec{E}=-74\frac{KV}{m}\hat{y}$
(b) As $\Delta V=Ed$
We plug in the known values to obtain:
$\Delta V=(7.4\times 10^4)(0.025)$
$\Delta V=1.8KV$
(c) The top plate will have positive charge (since the electric field starts at the top plate).