Answer
$\mathrm{B} < \mathrm{A} < \mathrm{C}$
Work Step by Step
The linear momentum of an object of mass $m$ moving with velocity $\vec{\mathrm{v}}$ is $\vec{\mathrm{p}}=m\vec{\mathrm{v}} \qquad$ 9-1
The kinetic energy of an object is $K=\displaystyle \frac{1}{2}mv^{2}$
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$K=\displaystyle \frac{mv^{2}}{2}\cdot\frac{m}{m}=\frac{m^{2}v^{2}}{2m}=\frac{p^{2}}{2m}$
is a way of expressing kinetic energy with momentum and mass.
$\displaystyle \mathrm{K}_{\mathrm{A}}=\frac{p^{2}}{2m},\quad$
$\displaystyle \mathrm{K}_{\mathrm{B}}=\frac{p^{2}}{2(2m)}=\frac{1}{2}\mathrm{K}_{\mathrm{A}}$
$\displaystyle \mathrm{K}_{\mathrm{C}}=\frac{p^{2}}{2(m/2)}=2\mathrm{K}_{\mathrm{A}}$
$\mathrm{B} < \mathrm{A} < \mathrm{C}$
