Answer
$K = 8.2~MeV$
Work Step by Step
We can find an expression for the speed:
$\lambda = \frac{h}{m~v}$
$v = \frac{h}{m~\lambda}$
We can find the kinetic energy:
$K = \frac{1}{2}mv^2$
$K = (\frac{1}{2})(m)(\frac{h}{m~\lambda})^2$
$K = \frac{h^2}{2~m~\lambda^2}$
$K = \frac{(6.626\times 10^{-34}~J~s)^2}{(2)(1.67\times 10^{-27}~kg)~(10\times 10^{-15}~m)^2}$
$K = 1.3145\times 10^{-12}~J$
$K = (1.3145\times 10^{-12}~J)(\frac{1~eV}{1.6\times 10^{-19}~J})$
$K = 8.2\times 10^6~eV$
$K = 8.2~MeV$