Answer
$9.1$ kilograms
Work Step by Step
We know that
$a=\frac{2x}{t^2}$
$\implies a=\frac{2(2.29m)}{(3s)^2}$
$a=0.509m/s^2$
Now the mass of the dog food can be determined as:
$m_d=\frac{F}{a}-m_c$
We plug in the known values to obtain:
$m_d=\frac{12N}{0.509m/s^2}-14.5Kg$
$m_d=9.1Kg$